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CMS-SMP-22-003 ; CERN-EP-2025-294
Simultaneous measurements of $ N $-subjettiness observables in jets from gluons and light-flavour quarks, and in decays of boosted W bosons and top quarks
Submitted to the Journal of High Energy Physics
Abstract: A simultaneous measurement of 25 substructure observables is presented using large-radius jets with high transverse momentum from proton-proton collisions at $ \sqrt{s}= $ 13 TeV. The measurement is carried out on dijet events and $ \mathrm{t} \overline{\mathrm{t}} $ events enriched in Lorentz-boosted W bosons and top quarks decaying hadronically. The three data samples consist of jets with one, two, or three prongs from the showering and hadronization of a gluon or light-flavour quark, two quarks, or three quarks, respectively. The data correspond to an integrated luminosity of 138 fb$ ^{-1} $, recorded by the CMS experiment in 2016--2018. A detailed characterization of the jet substructure is provided using a 6-body basis of $ N $-subjettiness observables that overconstrains the phase space of the resolved emissions in the jet. The measurements are unfolded to the level of stable particles, and an estimate of the particle-level correlations between observables is provided, ensuring that the results can be used to systematically assess and refine the modelling of radiation in jets.
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Figures

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Figure 1:
Distributions of the particle-level AK8 jet mass in fiducial regions enriched in hadronic decays of boosted W bosons (left) and top quarks (right), obtained from events in the muon+jets channel of $ \mathrm{t} \overline{\mathrm{t}} $ production. The contributions to the total jet mass distribution (black) from fully-merged (red) AK8 jets and not or partially-merged (blue) jets are illustrated in the figures.

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Figure 1-a:
Distributions of the particle-level AK8 jet mass in fiducial regions enriched in hadronic decays of boosted W bosons (left) and top quarks (right), obtained from events in the muon+jets channel of $ \mathrm{t} \overline{\mathrm{t}} $ production. The contributions to the total jet mass distribution (black) from fully-merged (red) AK8 jets and not or partially-merged (blue) jets are illustrated in the figures.

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Figure 1-b:
Distributions of the particle-level AK8 jet mass in fiducial regions enriched in hadronic decays of boosted W bosons (left) and top quarks (right), obtained from events in the muon+jets channel of $ \mathrm{t} \overline{\mathrm{t}} $ production. The contributions to the total jet mass distribution (black) from fully-merged (red) AK8 jets and not or partially-merged (blue) jets are illustrated in the figures.

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Figure 2:
Distributions of the AK8 jet $ p_{\mathrm{T}} $ (left) and $ m_{\text{jet}} $ (right) after the dijet selection, based on the combined 2016--2018 data set. The error bars in the upper panels indicate the statistical uncertainties in the data and simulation. The lower panels of the figures show the ratio of simulation to data with statistical uncertainties following the same colour code as the upper panel. The event yields in the simulated QCD samples are normalised to the yield in data.

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Figure 2-a:
Distributions of the AK8 jet $ p_{\mathrm{T}} $ (left) and $ m_{\text{jet}} $ (right) after the dijet selection, based on the combined 2016--2018 data set. The error bars in the upper panels indicate the statistical uncertainties in the data and simulation. The lower panels of the figures show the ratio of simulation to data with statistical uncertainties following the same colour code as the upper panel. The event yields in the simulated QCD samples are normalised to the yield in data.

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Figure 2-b:
Distributions of the AK8 jet $ p_{\mathrm{T}} $ (left) and $ m_{\text{jet}} $ (right) after the dijet selection, based on the combined 2016--2018 data set. The error bars in the upper panels indicate the statistical uncertainties in the data and simulation. The lower panels of the figures show the ratio of simulation to data with statistical uncertainties following the same colour code as the upper panel. The event yields in the simulated QCD samples are normalised to the yield in data.

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Figure 3:
Distribution of the leading AK8 jet $ p_{\mathrm{T}} $ (left) and $ m_{\text{jet}} $ (right) after the boosted W boson selection, for the combined 2016--2018 data set. The error bars in the upper panels indicate the statistical uncertainties in the data and simulation. The lower panels of the figures show the ratio of simulation to data with statistical uncertainties following the same colour code as the upper panel. The contributions of $ \mathrm{t} \overline{\mathrm{t}} $ events in the data, estimated by subtracting contributions from simulated physics background processes, is found to be approximately 85%.

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Figure 3-a:
Distribution of the leading AK8 jet $ p_{\mathrm{T}} $ (left) and $ m_{\text{jet}} $ (right) after the boosted W boson selection, for the combined 2016--2018 data set. The error bars in the upper panels indicate the statistical uncertainties in the data and simulation. The lower panels of the figures show the ratio of simulation to data with statistical uncertainties following the same colour code as the upper panel. The contributions of $ \mathrm{t} \overline{\mathrm{t}} $ events in the data, estimated by subtracting contributions from simulated physics background processes, is found to be approximately 85%.

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Figure 3-b:
Distribution of the leading AK8 jet $ p_{\mathrm{T}} $ (left) and $ m_{\text{jet}} $ (right) after the boosted W boson selection, for the combined 2016--2018 data set. The error bars in the upper panels indicate the statistical uncertainties in the data and simulation. The lower panels of the figures show the ratio of simulation to data with statistical uncertainties following the same colour code as the upper panel. The contributions of $ \mathrm{t} \overline{\mathrm{t}} $ events in the data, estimated by subtracting contributions from simulated physics background processes, is found to be approximately 85%.

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Figure 4:
Distribution of the leading AK8 jet $ p_{\mathrm{T}} $ (left) and $ m_{\text{jet}} $ (right) after the boosted top quark selection for the combined 2016--2018 data set. The error bars in the upper panels indicate the statistical uncertainties in the data and simulation. The lower panels of the figures show the ratio of simulation to data with statistical uncertainties following the same colour code as the upper panel. The contributions of $ \mathrm{t} \overline{\mathrm{t}} $ events in the data, estimated by subtracting contributions from simulated physics background processes, is found to be approximately 94%.

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Figure 4-a:
Distribution of the leading AK8 jet $ p_{\mathrm{T}} $ (left) and $ m_{\text{jet}} $ (right) after the boosted top quark selection for the combined 2016--2018 data set. The error bars in the upper panels indicate the statistical uncertainties in the data and simulation. The lower panels of the figures show the ratio of simulation to data with statistical uncertainties following the same colour code as the upper panel. The contributions of $ \mathrm{t} \overline{\mathrm{t}} $ events in the data, estimated by subtracting contributions from simulated physics background processes, is found to be approximately 94%.

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Figure 4-b:
Distribution of the leading AK8 jet $ p_{\mathrm{T}} $ (left) and $ m_{\text{jet}} $ (right) after the boosted top quark selection for the combined 2016--2018 data set. The error bars in the upper panels indicate the statistical uncertainties in the data and simulation. The lower panels of the figures show the ratio of simulation to data with statistical uncertainties following the same colour code as the upper panel. The contributions of $ \mathrm{t} \overline{\mathrm{t}} $ events in the data, estimated by subtracting contributions from simulated physics background processes, is found to be approximately 94%.

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Figure 5:
Background rejection rate as a function of signal efficiency for boosted W boson discrimination using deep neural networks trained on minimal and complete $ M $-body bases (solid lines), overcomplete 5-/6-body bases (dashed lines), and $ \tau_{2,1}^{(1)} $ (dotted lines) calculated with winner-take-all (WTA) and E-scheme recombination schemes. Shaded bands around each curve show the pointwise 95% confidence interval on the ROC curves, obtained by a nonparametric bootstrap.

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Figure 5-a:
Background rejection rate as a function of signal efficiency for boosted W boson discrimination using deep neural networks trained on minimal and complete $ M $-body bases (solid lines), overcomplete 5-/6-body bases (dashed lines), and $ \tau_{2,1}^{(1)} $ (dotted lines) calculated with winner-take-all (WTA) and E-scheme recombination schemes. Shaded bands around each curve show the pointwise 95% confidence interval on the ROC curves, obtained by a nonparametric bootstrap.

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Figure 5-b:
Background rejection rate as a function of signal efficiency for boosted W boson discrimination using deep neural networks trained on minimal and complete $ M $-body bases (solid lines), overcomplete 5-/6-body bases (dashed lines), and $ \tau_{2,1}^{(1)} $ (dotted lines) calculated with winner-take-all (WTA) and E-scheme recombination schemes. Shaded bands around each curve show the pointwise 95% confidence interval on the ROC curves, obtained by a nonparametric bootstrap.

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Figure 6:
Background rejection rate as a function of signal efficiency for boosted top quark discrimination using deep neural networks trained on minimal and complete $ M $-body bases (solid lines), overcomplete 5-/6-body bases (dashed lines), and $ \tau_{3,2}^{(1)} $ (dotted lines) calculated with winner-take-all (WTA) and E-scheme recombination schemes. Shaded bands around each curve show the pointwise 95% confidence interval on the ROC curves, obtained by a nonparametric bootstrap.

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Figure 6-a:
Background rejection rate as a function of signal efficiency for boosted top quark discrimination using deep neural networks trained on minimal and complete $ M $-body bases (solid lines), overcomplete 5-/6-body bases (dashed lines), and $ \tau_{3,2}^{(1)} $ (dotted lines) calculated with winner-take-all (WTA) and E-scheme recombination schemes. Shaded bands around each curve show the pointwise 95% confidence interval on the ROC curves, obtained by a nonparametric bootstrap.

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Figure 6-b:
Background rejection rate as a function of signal efficiency for boosted top quark discrimination using deep neural networks trained on minimal and complete $ M $-body bases (solid lines), overcomplete 5-/6-body bases (dashed lines), and $ \tau_{3,2}^{(1)} $ (dotted lines) calculated with winner-take-all (WTA) and E-scheme recombination schemes. Shaded bands around each curve show the pointwise 95% confidence interval on the ROC curves, obtained by a nonparametric bootstrap.

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Figure 7:
The unfolded combined distribution of the overcomplete 6-body basis of $ N $-subjettiness observables measured with AK8 jets in the QCD dijet selection (upper panel). The unfolded data (black) are compared with the nominal simulation (red), FSR scale variations of the nominal simulation (red, filled triangles), and predictions from the alternative (blue, yellow) simulations, at the particle level. The ratio of the simulated predictions to the unfolded data are shown in the lower panel. The shaded bands (dark grey) for the data markers indicate the total unfolding uncertainties.

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Figure 8:
The unfolded, combined distribution of the overcomplete 6-body basis of $ N $-subjettiness observables measured with the selected AK8 jet for $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events enriched in boosted W boson jets (upper panel). The unfolded data (black) are compared with the nominal simulation (red), FSR scale variations of the nominal simulation (red, filled triangles), and predictions from the alternative signal (blue, yellow) simulations, at the particle level. The ratio of the simulated predictions to the unfolded data are shown in the lower panel. The shaded bands (dark grey) for the data markers indicate the total unfolding uncertainties.

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Figure 9:
The unfolded, combined distribution of the overcomplete 6-body basis of $ N $-subjettiness observables measured with the selected AK8 jet for $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events enriched in jets from boosted top quark decays (upper panel). The unfolded data (black) are compared with the nominal simulation (red), FSR scale variations of the nominal simulation (red, filled triangles), and predictions from the alternative signal (blue, yellow) simulations, at the particle level. The ratio of the simulated predictions to the unfolded data are shown in the lower panel. The shaded bands (dark grey) for the data markers indicate the total unfolding uncertainties.

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Figure 10:
Representative unfolded distributions from the simultaneous unfolding are shown for $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$ in the QCD dijet selection. The results are extracted from the normalized simultaneous unfolding, and the bin contents and the error bars are scaled by the corresponding bin widths. In the unfolded results, shown in the upper panel, the data (black) are compared with the nominal simulation (red), FSR scale variations of the nominal simulation (red, filled triangles), and predictions from the alternative signal (blue, yellow) simulations at the particle level. The ratio of the particle-level predictions to the unfolded data are shown in the lower panel. Shaded bands indicate the total uncertainties (dark grey).

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Figure 10-a:
Representative unfolded distributions from the simultaneous unfolding are shown for $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$ in the QCD dijet selection. The results are extracted from the normalized simultaneous unfolding, and the bin contents and the error bars are scaled by the corresponding bin widths. In the unfolded results, shown in the upper panel, the data (black) are compared with the nominal simulation (red), FSR scale variations of the nominal simulation (red, filled triangles), and predictions from the alternative signal (blue, yellow) simulations at the particle level. The ratio of the particle-level predictions to the unfolded data are shown in the lower panel. Shaded bands indicate the total uncertainties (dark grey).

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Figure 10-b:
Representative unfolded distributions from the simultaneous unfolding are shown for $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$ in the QCD dijet selection. The results are extracted from the normalized simultaneous unfolding, and the bin contents and the error bars are scaled by the corresponding bin widths. In the unfolded results, shown in the upper panel, the data (black) are compared with the nominal simulation (red), FSR scale variations of the nominal simulation (red, filled triangles), and predictions from the alternative signal (blue, yellow) simulations at the particle level. The ratio of the particle-level predictions to the unfolded data are shown in the lower panel. Shaded bands indicate the total uncertainties (dark grey).

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Figure 11:
Representative unfolded distributions from the simultaneous unfolding are shown for $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$ in the boosted W boson-enriched selection. The results are extracted from the normalized simultaneous unfolding, and the bin contents and the error bars are scaled by their corresponding bin widths. More details are provided in the caption of Fig. 10.

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Figure 11-a:
Representative unfolded distributions from the simultaneous unfolding are shown for $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$ in the boosted W boson-enriched selection. The results are extracted from the normalized simultaneous unfolding, and the bin contents and the error bars are scaled by their corresponding bin widths. More details are provided in the caption of Fig. 10.

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Figure 11-b:
Representative unfolded distributions from the simultaneous unfolding are shown for $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$ in the boosted W boson-enriched selection. The results are extracted from the normalized simultaneous unfolding, and the bin contents and the error bars are scaled by their corresponding bin widths. More details are provided in the caption of Fig. 10.

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Figure 12:
Representative unfolded distributions of individual observables, $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$, are shown for measurements in the boosted top quark-enriched selection. The results are extracted from the normalized simultaneous unfolding, and the bin contents and the error bars are scaled by their corresponding bin widths. More details are provided in the caption of Fig. 10.

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Figure 12-a:
Representative unfolded distributions of individual observables, $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$, are shown for measurements in the boosted top quark-enriched selection. The results are extracted from the normalized simultaneous unfolding, and the bin contents and the error bars are scaled by their corresponding bin widths. More details are provided in the caption of Fig. 10.

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Figure 12-b:
Representative unfolded distributions of individual observables, $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$, are shown for measurements in the boosted top quark-enriched selection. The results are extracted from the normalized simultaneous unfolding, and the bin contents and the error bars are scaled by their corresponding bin widths. More details are provided in the caption of Fig. 10.

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Figure 13:
Uncertainty breakdown estimates for the measurements of $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$ in QCD dijets. These include all sources of experimental and modelling uncertainties that are common between the QCD dijet and W boson or top quark measurements. The shaded bands indicate the total (dark grey), and data statistical and background subtraction (blue) uncertainties for the unfolded distribution, uncertainties from the number of events in simulated samples for the nominal response matrix and background contributions are illustrated with dashed lines, and up (down) variations of relevant systematics are shown with filled (open) markers of the same colour and shape. Contributions from the showering and hadronization uncertainty are estimated using HERWIG 7 and are illustrated with a solid line as a one-sided shift.

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Figure 13-a:
Uncertainty breakdown estimates for the measurements of $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$ in QCD dijets. These include all sources of experimental and modelling uncertainties that are common between the QCD dijet and W boson or top quark measurements. The shaded bands indicate the total (dark grey), and data statistical and background subtraction (blue) uncertainties for the unfolded distribution, uncertainties from the number of events in simulated samples for the nominal response matrix and background contributions are illustrated with dashed lines, and up (down) variations of relevant systematics are shown with filled (open) markers of the same colour and shape. Contributions from the showering and hadronization uncertainty are estimated using HERWIG 7 and are illustrated with a solid line as a one-sided shift.

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Figure 13-b:
Uncertainty breakdown estimates for the measurements of $\tau_{1}^{(0.5)}$ and $\tau_{4}^{(1)}$ in QCD dijets. These include all sources of experimental and modelling uncertainties that are common between the QCD dijet and W boson or top quark measurements. The shaded bands indicate the total (dark grey), and data statistical and background subtraction (blue) uncertainties for the unfolded distribution, uncertainties from the number of events in simulated samples for the nominal response matrix and background contributions are illustrated with dashed lines, and up (down) variations of relevant systematics are shown with filled (open) markers of the same colour and shape. Contributions from the showering and hadronization uncertainty are estimated using HERWIG 7 and are illustrated with a solid line as a one-sided shift.

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Figure 14:
A representative set of uncertainty breakdown estimates for the unfolded measurement of $\tau_{1}^{(0.5)}$ and of $\tau_{4}^{(1)}$ in the boosted W boson-enriched selection. The breakdowns are split into two separate figures: including all sources of experimental uncertainty, and additional uncertainties that are common between the dijet and W boson or top quark measurements (left), and for variations of parameters used to generate events in POWHEG v2, or in the parton showering and hadronization in PYTHIAviii with the CP5 tune, for exclusively the W boson and top quark measurements (right). The shaded bands indicate the total (dark grey), and data statistical and background subtraction (blue) uncertainties in the unfolded distribution, uncertainties from the number of events in simulated samples for the nominal response matrix and background contributions are illustrated with dashed lines, and up (down) variations of relevant systematics are shown with filled (open) markers of the same colour and shape. Contributions from the showering and hadronization uncertainty estimated using HERWIG 7, as well as for the various CR models, are illustrated with the solid lines as one-sided shifts.

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Figure 14-a:
A representative set of uncertainty breakdown estimates for the unfolded measurement of $\tau_{1}^{(0.5)}$ and of $\tau_{4}^{(1)}$ in the boosted W boson-enriched selection. The breakdowns are split into two separate figures: including all sources of experimental uncertainty, and additional uncertainties that are common between the dijet and W boson or top quark measurements (left), and for variations of parameters used to generate events in POWHEG v2, or in the parton showering and hadronization in PYTHIAviii with the CP5 tune, for exclusively the W boson and top quark measurements (right). The shaded bands indicate the total (dark grey), and data statistical and background subtraction (blue) uncertainties in the unfolded distribution, uncertainties from the number of events in simulated samples for the nominal response matrix and background contributions are illustrated with dashed lines, and up (down) variations of relevant systematics are shown with filled (open) markers of the same colour and shape. Contributions from the showering and hadronization uncertainty estimated using HERWIG 7, as well as for the various CR models, are illustrated with the solid lines as one-sided shifts.

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Figure 14-b:
A representative set of uncertainty breakdown estimates for the unfolded measurement of $\tau_{1}^{(0.5)}$ and of $\tau_{4}^{(1)}$ in the boosted W boson-enriched selection. The breakdowns are split into two separate figures: including all sources of experimental uncertainty, and additional uncertainties that are common between the dijet and W boson or top quark measurements (left), and for variations of parameters used to generate events in POWHEG v2, or in the parton showering and hadronization in PYTHIAviii with the CP5 tune, for exclusively the W boson and top quark measurements (right). The shaded bands indicate the total (dark grey), and data statistical and background subtraction (blue) uncertainties in the unfolded distribution, uncertainties from the number of events in simulated samples for the nominal response matrix and background contributions are illustrated with dashed lines, and up (down) variations of relevant systematics are shown with filled (open) markers of the same colour and shape. Contributions from the showering and hadronization uncertainty estimated using HERWIG 7, as well as for the various CR models, are illustrated with the solid lines as one-sided shifts.

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Figure 14-c:
A representative set of uncertainty breakdown estimates for the unfolded measurement of $\tau_{1}^{(0.5)}$ and of $\tau_{4}^{(1)}$ in the boosted W boson-enriched selection. The breakdowns are split into two separate figures: including all sources of experimental uncertainty, and additional uncertainties that are common between the dijet and W boson or top quark measurements (left), and for variations of parameters used to generate events in POWHEG v2, or in the parton showering and hadronization in PYTHIAviii with the CP5 tune, for exclusively the W boson and top quark measurements (right). The shaded bands indicate the total (dark grey), and data statistical and background subtraction (blue) uncertainties in the unfolded distribution, uncertainties from the number of events in simulated samples for the nominal response matrix and background contributions are illustrated with dashed lines, and up (down) variations of relevant systematics are shown with filled (open) markers of the same colour and shape. Contributions from the showering and hadronization uncertainty estimated using HERWIG 7, as well as for the various CR models, are illustrated with the solid lines as one-sided shifts.

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Figure 14-d:
A representative set of uncertainty breakdown estimates for the unfolded measurement of $\tau_{1}^{(0.5)}$ and of $\tau_{4}^{(1)}$ in the boosted W boson-enriched selection. The breakdowns are split into two separate figures: including all sources of experimental uncertainty, and additional uncertainties that are common between the dijet and W boson or top quark measurements (left), and for variations of parameters used to generate events in POWHEG v2, or in the parton showering and hadronization in PYTHIAviii with the CP5 tune, for exclusively the W boson and top quark measurements (right). The shaded bands indicate the total (dark grey), and data statistical and background subtraction (blue) uncertainties in the unfolded distribution, uncertainties from the number of events in simulated samples for the nominal response matrix and background contributions are illustrated with dashed lines, and up (down) variations of relevant systematics are shown with filled (open) markers of the same colour and shape. Contributions from the showering and hadronization uncertainty estimated using HERWIG 7, as well as for the various CR models, are illustrated with the solid lines as one-sided shifts.

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Figure 15:
A representative set of uncertainty breakdown estimates for the unfolded measurements of $\tau_{1}^{(0.5)}$ and of $\tau_{4}^{(1)}$ in the boosted top quark-enriched selection. The breakdowns are split into two separate figures per the details given in the caption of Fig. 14.

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Figure 15-a:
A representative set of uncertainty breakdown estimates for the unfolded measurements of $\tau_{1}^{(0.5)}$ and of $\tau_{4}^{(1)}$ in the boosted top quark-enriched selection. The breakdowns are split into two separate figures per the details given in the caption of Fig. 14.

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Figure 15-b:
A representative set of uncertainty breakdown estimates for the unfolded measurements of $\tau_{1}^{(0.5)}$ and of $\tau_{4}^{(1)}$ in the boosted top quark-enriched selection. The breakdowns are split into two separate figures per the details given in the caption of Fig. 14.

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Figure 15-c:
A representative set of uncertainty breakdown estimates for the unfolded measurements of $\tau_{1}^{(0.5)}$ and of $\tau_{4}^{(1)}$ in the boosted top quark-enriched selection. The breakdowns are split into two separate figures per the details given in the caption of Fig. 14.

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Figure 15-d:
A representative set of uncertainty breakdown estimates for the unfolded measurements of $\tau_{1}^{(0.5)}$ and of $\tau_{4}^{(1)}$ in the boosted top quark-enriched selection. The breakdowns are split into two separate figures per the details given in the caption of Fig. 14.

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Figure 16:
Pairwise Pearson correlations between $ N $-subjettiness observables constituting the overcomplete 6-body basis, in the nominal MadGraph-5\_aMC@NLO+PYTHIAviii simulation, at the particle level, for the QCD dijet selection. All particle-level events passing selections are considered.

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Figure 17:
Pairwise Pearson correlations between $ N $-subjettiness observables constituting the overcomplete 6-body basis, in the nominal MadGraph-5\_aMC@NLO+PYTHIAviii simulation, at the detector level, for the QCD dijet selection. Only detector-level events with a matched jet in the corresponding particle-level event are considered.

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Figure 18:
Pairwise Pearson correlations between $ N $-subjettiness observables constituting the overcomplete 6-body basis, using the full Run 2 data set recorded by the CMS detector, for the QCD dijet selection.

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Figure 19:
Pairwise Pearson correlations between $ N $-subjettiness observables constituting the overcomplete 6-body basis, in the nominal POWHEG +PYTHIAviii signal sample, at the particle level, in the boosted W boson-enriched region. All particle-level events with fully-merged jets passing the event selections are considered.

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Figure 20:
Pairwise Pearson correlations between $ N $-subjettiness observables constituting the overcomplete 6-body basis, in the nominal POWHEG +PYTHIAviii signal sample, at the detector level, in the boosted W boson-enriched region. Only detector-level events with a matched jet in the corresponding fully-merged particle-level event are considered.

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Figure 21:
Pairwise Pearson correlations between $ N $-subjettiness observables constituting the overcomplete 6-body basis, using the full Run 2 data set recorded by the CMS detector, in the boosted W boson-enriched region.

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Figure 22:
Pairwise Pearson correlations between $ N $-subjettiness observables constituting the overcomplete 6-body basis, in the nominal POWHEG +PYTHIAviii signal sample, at the particle level, in the boosted top quark-enriched region. All particle-level events with fully-merged jets passing the event selections are considered.

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Figure 23:
Pairwise Pearson correlations between $ N $-subjettiness observables constituting the overcomplete 6-body basis, in the nominal POWHEG +PYTHIAviii signal sample, at the detector level, in the boosted top quark-enriched region. Only detector-level events with a matched jet in the corresponding fully-merged particle-level event are considered.

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Figure 24:
Pairwise Pearson correlations between $ N $-subjettiness observables constituting the overcomplete 6-body basis, using the full Run 2 data set recorded by the CMS detector, in the boosted top quark-enriched region.

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Figure 25:
Correlations between bins in the normalized, unfolded data in the QCD dijet selection. The correlations are computed from the total covariance matrix of the normalized, combined unfolded distribution.

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Figure 26:
Correlations between the bins of the normalized, unfolded data in the boosted W boson-enriched region. The correlations are computed from the total covariance matrix of the normalized, combined unfolded distribution.

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Figure 27:
Correlations between the bins of the normalized, unfolded data in the boosted top quark-enriched selection. The correlations are computed from the total covariance matrix of the normalized, combined unfolded distribution.

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Figure 28:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 28-a:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 28-b:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 28-c:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 28-d:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 28-e:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 29:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 29-a:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 29-b:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 29-c:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 29-d:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 29-e:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 30:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 30-a:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 30-b:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 30-c:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 30-d:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 30-e:
Unfolded distributions of 1-subjettiness observables, $\tau_{1}^{(0.25)}$, $\tau_{1}^{(0.5)}$,$\tau_{1}^{(1)}$,$\tau_{1}^{(1.5)}$, and $\tau_{1}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 31:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 31-a:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 31-b:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 31-c:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 31-d:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 31-e:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 32:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 32-a:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 32-b:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 32-c:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 32-d:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 32-e:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 33:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 33-a:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 33-b:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 33-c:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 33-d:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 33-e:
Unfolded distributions of 2-subjettiness observables,$\tau_{2}^{(0.25)}$,$\tau_{2}^{(0.5)}$,$\tau_{2}^{(1)}$,$\tau_{2}^{(1.5)}$, and$\tau_{2}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 34:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 34-a:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 34-b:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 34-c:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 34-d:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 34-e:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 35:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 35-a:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 35-b:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 35-c:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 35-d:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 35-e:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 36:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 36-a:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 36-b:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 36-c:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 36-d:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 36-e:
Unfolded distributions of 3-subjettiness observables,$\tau_{3}^{(0.25)}$,$\tau_{3}^{(0.5)}$, $\tau_{3}^{(1)}$, $\tau_{3}^{(1.5)}$, and $\tau_{3}^{(2)}$, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 37:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 37-a:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 37-b:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 37-c:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 37-d:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 37-e:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 38:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 38-a:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 38-b:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 38-c:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 38-d:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 38-e:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 39:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 39-a:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 39-b:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 39-c:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 39-d:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 39-e:
Unfolded distributions of 4-subjettiness observables, $\tau_{4}^{(0.25)}$, $\tau_{4}^{(0.5)}$, $\tau_{4}^{(1)}$, $\tau_{4}^{(1.5)}$, and \Nsub42, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 40:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 40-a:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 40-b:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 40-c:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 40-d:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 40-e:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the QCD dijet event selection, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 41:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 41-a:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 41-b:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 41-c:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 41-d:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 41-e:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in boosted W boson-enriched events, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 42:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 42-a:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 42-b:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 42-c:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 42-d:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 42-e:
Unfolded distributions of 5-subjettiness observables, $\tau_{5}^{(0.25)}$, $\tau_{5}^{(0.5)}$, $\tau_{5}^{(1)}$, $\tau_{5}^{(1.5)}$, and \Nsub52, measured for AK8 jets in the boosted top quark-enriched region, extracted from the normalized, combined distribution after unfolding; the bin contents and the error bars are scaled by the bin widths for the distributions of the individual observables. For comparisons with particle-level predictions, the error bars in data correspond to the total unfolding uncertainties, and the lower panels present the ratio of particle-level predictions to the unfolded data. The dark grey hashed region illustrates the total uncertainties per bin in the unfolded result.

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Figure 43:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 43-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 43-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 43-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 43-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 43-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 44:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 44-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 44-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 44-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 44-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 44-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 45:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 45-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 45-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 45-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 45-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 45-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 46:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 46-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 46-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 46-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 46-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 46-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 47:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 47-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 47-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 47-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 47-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 47-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets in the QCD dijet selection. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 48:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 48-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 48-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 48-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 48-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 48-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 49:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 49-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 49-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 49-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 49-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 49-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 50:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 50-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 50-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 50-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 50-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 50-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 51:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 51-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 51-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 51-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 51-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 51-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 52:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 52-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 52-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 52-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 52-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 52-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 53:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 53-a:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 53-b:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 53-c:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 53-d:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 53-e:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 54:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 54-a:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 54-b:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 54-c:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 54-d:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 54-e:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 55:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 55-a:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 55-b:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 55-c:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 55-d:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 55-e:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 56:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 56-a:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 56-b:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 56-c:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 56-d:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 56-e:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 57:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 57-a:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 57-b:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 57-c:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 57-d:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 57-e:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted W boson-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 58:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 58-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 58-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 58-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 58-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 58-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 59:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 59-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 59-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 59-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 59-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 59-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 60:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 60-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 60-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 60-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 60-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 60-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 61:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 61-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 61-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 61-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 61-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 61-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 62:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 62-a:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 62-b:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 62-c:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 62-d:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 62-e:
Contributions from various systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The physics model uncertainty is computed as a one-sided shift compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 63:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 63-a:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 63-b:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 63-c:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 63-d:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 63-e:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_1^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 64:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 64-a:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 64-b:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 64-c:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 64-d:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 64-e:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_2^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 65:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 65-a:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 65-b:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 65-c:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 65-d:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 65-e:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_3^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

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Figure 66:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 66-a:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 66-b:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 66-c:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 66-d:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 66-e:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_4^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 67:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 67-a:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 67-b:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 67-c:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 67-d:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.

png pdf
Figure 67-e:
Contributions from various theory model systematic variations to the normalized, unfolded distribution for $ \tau_5^{(\beta)} $ observables measured for AK8 jets passing the boosted top quark-enriched selection in $ \mu $+jets $ \mathrm{t} \overline{\mathrm{t}} $ events. The total unfolding uncertainty is indicated with the dark grey, hashed region, while the blue hashed region indicates the contributions from the input covariance matrix, which includes the propagated effects of the statistical uncertainties of the input data after background subtraction. Contributions from statistical uncertainties of the simulated sample used to construct the nominal response matrix are indicated with the dashed black line. The uncertainty contributions for different choices of colour reconnection models are illustrated as one-sided shifts compared to the nominal unfolding, and up (down) contributions from other sources are indicated with filled (open) markers of the same type and colour.
Summary
Simultaneous measurements have been presented of $ N $-subjettiness observables that form a basis that overconstrains the phase space of up to six emissions in a jet. The measurements are performed in various hadronic environments: jets originating from gluons and light-flavour quarks in QCD dijet events, and in selections enriched in hadronic decays of boosted W bosons and top quarks. The use of a basis of $ N $-subjettiness observables enables the analysis to provide a detailed picture of the structure of jets, for a fixed jet description corresponding to the resolved 6-body phase space. Multiple handles are provided to robustly overconstrain the sensitivity of the measurements to all the IRC-safe information in the jet substructure that is relevant to distinguish the substructure of light quark- and gluon-initiated jets from jets originating in decays of Lorentz-boosted W bosons and top quarks. By simultaneously unfolding all observables, normalized particle-level spectra for the individual observables are provided, along with complete covariance information including correlations between the unfolded distributions. These unfolded measurements furnish a comprehensive set of inputs for future tuning and validation of simulations, aiming to refine the modelling of QCD radiation in jets originating from decays of boosted massive electroweak-scale particles and from gluons or light-flavour quarks.
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Compact Muon Solenoid
LHC, CERN