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CMS-PAS-SMP-22-003
Simultaneous measurements of $ N $-subjettiness observables in light-flavour quark and gluon jets, and in hadronic decays of boosted W bosons and top quarks
Abstract: A simultaneous measurement of twenty-five jet 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 QCD dijet events and $ \mathrm{t\overline{t}} $ events enriched in boosted, hadronic decays of W bosons and top quarks. The three data samples consist of jets with one, two, and three prongs from the showering and hadronisation of a light quark or gluon, two quarks and three quarks, respectively. The data correspond to an integrated luminosity of 138 fb$ ^{-1} $, recorded by the CMS experiment between 2016--2018. A detailed characterisation of the jet substructure is provided using a 6-body basis of $ N $-subjettiness observables that over-constrains 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.
Figures Summary References CMS Publications
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. The data correspond to the sum of the 2016, 2017 and 2018 datasets. The lower panels of the figures show the ratio of simulation to data 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. The data correspond to the sum of the 2016, 2017 and 2018 datasets. The lower panels of the figures show the ratio of simulation to data 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. The data correspond to the sum of the 2016, 2017 and 2018 datasets. The lower panels of the figures show the ratio of simulation to data 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. The data correspond to the sum of 2016, 2017 and 2018 datasets. The lower panels of the figures show the ratio of simulation to data 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. The data correspond to the sum of 2016, 2017 and 2018 datasets. The lower panels of the figures show the ratio of simulation to data 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. The data correspond to the sum of 2016, 2017 and 2018 datasets. The lower panels of the figures show the ratio of simulation to data 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. The data correspond to the sum of 2016, 2017 and 2018 datasets. The lower panels of the figures show the ratio of simulation to data 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. The data correspond to the sum of 2016, 2017 and 2018 datasets. The lower panels of the figures show the ratio of simulation to data 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. The data correspond to the sum of 2016, 2017 and 2018 datasets. The lower panels of the figures show the ratio of simulation to data 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 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, obtained by a nonparametric bootstrap.

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Figure 5-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, obtained by a nonparametric bootstrap.

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Figure 5-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, obtained by a nonparametric bootstrap.

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Figure 6:
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-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 6-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 7:
The unfolded combined distribution of the overcomplete 6-body basis of $ N $-subjettiness observables measured on AK8 jets in the QCD dijet selection (upper panel). The unfolded data (black) are compared to the nominal simulation (red), FSR scale variations of the nominal simulation (red, filled triangles), and predictions from the alternate 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 for the data markers indicate the total uncertainties (dark grey).

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Figure 8:
Correlations between bins in the normalised, unfolded data in the QCD dijet selection. The correlations are computed from the normalised, total covariance matrix for the unfolding.

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Figure 9:
The unfolded, combined distribution of the overcomplete 6-body basis of $ N $-subjettiness observables measured on the selected AK8 jet for semileptonic $ \mathrm{t} \overline{\mathrm{t}} $ events enriched in boosted W-boson jets (upper panel). The unfolded data (black) are compared to the nominal simulation (red), FSR scale variations of the nominal simulation (red, filled triangles), and predictions from the alternate 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 for the data markers indicate the total uncertainties (dark grey).

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Figure 10:
Correlations between bins in the normalised, unfolded data in the boosted W boson-enriched region. The correlations are computed from the normalised, total covariance matrix for the unfolding.

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Figure 11:
The unfolded, combined distribution of the overcomplete 6-body basis of $ N $-subjettiness observables measured on the selected AK8 jet for semileptonic $ \mathrm{t} \overline{\mathrm{t}} $ events enriched in boosted top-quark jets (upper panel). The unfolded data (black) are compared to the nominal simulation (red), FSR scale variations of the nominal simulation (red, filled triangles), and predictions from the alternate 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 for the data markers indicate the total uncertainties (dark grey).

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Figure 12:
Correlations between bins in the normalised, unfolded data in the boosted top quark-enriched selection. The correlations are computed from the normalised, total covariance matrix for the unfolding.

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Figure 13:
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 normalised simultaneous unfolding, and bin contents and errors are scaled by the corresponding bin widths. In the unfolded results, shown in the upper panel, the data (black) are compared to 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 13-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 normalised simultaneous unfolding, and bin contents and errors are scaled by the corresponding bin widths. In the unfolded results, shown in the upper panel, the data (black) are compared to 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 13-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 normalised simultaneous unfolding, and bin contents and errors are scaled by the corresponding bin widths. In the unfolded results, shown in the upper panel, the data (black) are compared to 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 14:
Representative unfolded distributions from the simultaneous unfolding are shown for $ \tau_{1}^{(0.5)} $ and $ \tau_{4}^{(1)} $ the boosted W boson-enriched selection. The results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. More details are given in the caption of Fig. 13.

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Figure 14-a:
Representative unfolded distributions from the simultaneous unfolding are shown for $ \tau_{1}^{(0.5)} $ and $ \tau_{4}^{(1)} $ the boosted W boson-enriched selection. The results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. More details are given in the caption of Fig. 13.

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Figure 14-b:
Representative unfolded distributions from the simultaneous unfolding are shown for $ \tau_{1}^{(0.5)} $ and $ \tau_{4}^{(1)} $ the boosted W boson-enriched selection. The results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. More details are given in the caption of Fig. 13.

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Figure 15:
Representative unfolded distributions of individual observables, $ \tau_{1}^{(0.5)} $ and $ \tau_{4}^{(1)} $ , are shown for measured in the boosted top quark-enriched selection. The results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. More details are given in the caption of Fig. 13.

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Figure 15-a:
Representative unfolded distributions of individual observables, $ \tau_{1}^{(0.5)} $ and $ \tau_{4}^{(1)} $ , are shown for measured in the boosted top quark-enriched selection. The results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. More details are given in the caption of Fig. 13.

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Figure 15-b:
Representative unfolded distributions of individual observables, $ \tau_{1}^{(0.5)} $ and $ \tau_{4}^{(1)} $ , are shown for measured in the boosted top quark-enriched selection. The results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. More details are given in the caption of Fig. 13.

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Figure 16:
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 uncertainty that are common between the QCD dijet and W boson/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 hadronisation uncertainty are estimated using HERWIG 7 and are illustrated as a one-sided shift with solid lines.

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Figure 16-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 uncertainty that are common between the QCD dijet and W boson/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 hadronisation uncertainty are estimated using HERWIG 7 and are illustrated as a one-sided shift with solid lines.

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Figure 16-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 uncertainty that are common between the QCD dijet and W boson/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 hadronisation uncertainty are estimated using HERWIG 7 and are illustrated as a one-sided shift with solid lines.

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Figure 17:
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 results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. The breakdowns are split into two separate figures: including all sources of experimental error and additional uncertainties that are common between the dijet and W boson/top quark measurements (left), and for variations of parameters used to generate events in POWHEG v2, or in the parton showering and hadronisation in PYTHIA8 with the CP5 tune, for exclusively the W boson/top quark measurements (right). 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 hadronisation uncertainty estimated with HERWIG 7, as well as for the various CR models, are illustrated as one-sided shifts with solid lines.

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Figure 17-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 results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. The breakdowns are split into two separate figures: including all sources of experimental error and additional uncertainties that are common between the dijet and W boson/top quark measurements (left), and for variations of parameters used to generate events in POWHEG v2, or in the parton showering and hadronisation in PYTHIA8 with the CP5 tune, for exclusively the W boson/top quark measurements (right). 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 hadronisation uncertainty estimated with HERWIG 7, as well as for the various CR models, are illustrated as one-sided shifts with solid lines.

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Figure 17-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 results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. The breakdowns are split into two separate figures: including all sources of experimental error and additional uncertainties that are common between the dijet and W boson/top quark measurements (left), and for variations of parameters used to generate events in POWHEG v2, or in the parton showering and hadronisation in PYTHIA8 with the CP5 tune, for exclusively the W boson/top quark measurements (right). 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 hadronisation uncertainty estimated with HERWIG 7, as well as for the various CR models, are illustrated as one-sided shifts with solid lines.

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Figure 17-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 results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. The breakdowns are split into two separate figures: including all sources of experimental error and additional uncertainties that are common between the dijet and W boson/top quark measurements (left), and for variations of parameters used to generate events in POWHEG v2, or in the parton showering and hadronisation in PYTHIA8 with the CP5 tune, for exclusively the W boson/top quark measurements (right). 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 hadronisation uncertainty estimated with HERWIG 7, as well as for the various CR models, are illustrated as one-sided shifts with solid lines.

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Figure 17-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 results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. The breakdowns are split into two separate figures: including all sources of experimental error and additional uncertainties that are common between the dijet and W boson/top quark measurements (left), and for variations of parameters used to generate events in POWHEG v2, or in the parton showering and hadronisation in PYTHIA8 with the CP5 tune, for exclusively the W boson/top quark measurements (right). 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 hadronisation uncertainty estimated with HERWIG 7, as well as for the various CR models, are illustrated as one-sided shifts with solid lines.

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Figure 18:
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 results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. The breakdowns are split into two separate figures per the details given in the caption of Fig. 17.

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Figure 18-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 results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. The breakdowns are split into two separate figures per the details given in the caption of Fig. 17.

png pdf
Figure 18-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 results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. The breakdowns are split into two separate figures per the details given in the caption of Fig. 17.

png pdf
Figure 18-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 results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. The breakdowns are split into two separate figures per the details given in the caption of Fig. 17.

png pdf
Figure 18-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 results are extracted from the normalised simultaneous unfolding, and bin contents and errors are scaled by their corresponding bin widths. The breakdowns are split into two separate figures per the details given in the caption of Fig. 17.
Summary
Simultaneous measurements of $ N $-subjettiness observables from a basis that over-constrains the phase space of up to six emissions in a jet have been presented. The measurements are performed in various hadronic environments: jets originating from light-flavour quarks and gluons 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 map out a coarse-grained picture of a jet, for a fixed jet description corresponding to the resolved 6-body phase space. Multiple handles are provided to robustly over-constrain 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 from Lorentz-boosted decays of W bosons and top quarks. By simultaneously unfolding all observables, normalised 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 boosted decays of massive, electroweak-scale particles and from light quarks or gluons.
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