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CMS-PAS-TOP-18-013
Measurement of differential $\mathrm{t\bar{t}}$ production cross sections for high-$p_{\mathrm{T}}$ top quarks in proton-proton collisions at $\sqrt{s} = $ 13 TeV
Abstract: A measurement of the production cross section for high transverse momentum ($p_{\mathrm{T}}$) top quark pairs is reported. The data set was collected during 2016 with the CMS detector at the CERN LHC from proton-proton collisions at a center-of-mass energy of 13 TeV, and corresponds to an integrated luminosity of 35.9 fb$^{-1}$. The measurement uses events where either both top quark candidates decay hadronically and are reconstructed as large-radius jets with $p_{\mathrm{T}} > $ 400 GeV, or where one top quark decays hadronically and is identified as a single large-radius jet with $p_{\mathrm{T}} > $ 400 GeV and the other top quark decays leptonically to a b jet, an electron or a muon, and a neutrino. The cross section is extracted differentially as a function of kinematic variables of the top quark or the top quark pair system. The results are presented at the particle level, within a region of phase space close to that of the experimental acceptance, and at the parton level, and are compared to various theoretical models. The measured differential cross sections are significantly lower in both decay channels in the phase space of interest, compared to the theory predictions, while the normalized differential cross sections are consistent between data and theory.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Result of the fit to data of the soft-drop mass of the t jet candidate, $m^t$, in SR$_{\rm A}$ for the hadronic channel. The shaded area shows the $\mathrm{t\bar{t}}$ contribution, the dashed line shows the QCD multijet background, and the double-dashed line shows the other subdominant backgrounds. The solid line shows the combined signal plus background fit model, and the data points are shown with solid markers. The bottom panel shows the data minus the fit model, divided by the fit uncertainty.

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Figure 2:
Comparison between data and simulation in SR$_{\rm B}$ (same as the SR, without any NN requirement) of the NN output in the hadronic channel. The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 3:
Comparison between data and simulation in the signal region of the ${p_{\mathrm {T}}}$ (top row) and absolute rapidity (bottom row) of the leading (left column) and subleading (right column) large-$R$ jets in the hadronic channel. The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 3-a:
Comparison between data and simulation in the signal region of the ${p_{\mathrm {T}}}$ (top row) and absolute rapidity (bottom row) of the leading (left column) and subleading (right column) large-$R$ jets in the hadronic channel. The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 3-b:
Comparison between data and simulation in the signal region of the ${p_{\mathrm {T}}}$ (top row) and absolute rapidity (bottom row) of the leading (left column) and subleading (right column) large-$R$ jets in the hadronic channel. The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 3-c:
Comparison between data and simulation in the signal region of the ${p_{\mathrm {T}}}$ (top row) and absolute rapidity (bottom row) of the leading (left column) and subleading (right column) large-$R$ jets in the hadronic channel. The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 3-d:
Comparison between data and simulation in the signal region of the ${p_{\mathrm {T}}}$ (top row) and absolute rapidity (bottom row) of the leading (left column) and subleading (right column) large-$R$ jets in the hadronic channel. The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 4:
Comparison between data and simulation in the signal region in the hadronic channel of the $\mathrm{t\bar{t}}$ system variables reconstructed from the two leading large-$R$ jets, specifically, the invariant mass (top left), $ {p_{\mathrm {T}}} $ (top right), and rapidity (bottom). The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 4-a:
Comparison between data and simulation in the signal region in the hadronic channel of the $\mathrm{t\bar{t}}$ system variables reconstructed from the two leading large-$R$ jets, specifically, the invariant mass (top left), $ {p_{\mathrm {T}}} $ (top right), and rapidity (bottom). The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 4-b:
Comparison between data and simulation in the signal region in the hadronic channel of the $\mathrm{t\bar{t}}$ system variables reconstructed from the two leading large-$R$ jets, specifically, the invariant mass (top left), $ {p_{\mathrm {T}}} $ (top right), and rapidity (bottom). The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 4-c:
Comparison between data and simulation in the signal region in the hadronic channel of the $\mathrm{t\bar{t}}$ system variables reconstructed from the two leading large-$R$ jets, specifically, the invariant mass (top left), $ {p_{\mathrm {T}}} $ (top right), and rapidity (bottom). The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 5:
Comparison between data and simulation in the signal region of the mass of the leading (left) and subleading (right) large-$R$ jets in the hadronic channel. The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 5-a:
Comparison between data and simulation in the signal region of the mass of the leading (left) and subleading (right) large-$R$ jets in the hadronic channel. The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 5-b:
Comparison between data and simulation in the signal region of the mass of the leading (left) and subleading (right) large-$R$ jets in the hadronic channel. The $\mathrm{t\bar{t}}$ and QCD multijet processes are normalized according to the post-fit values of the respective yields and are shown as stacked histograms. The data points are shown with solid markers, while the shaded band represents the statistical uncertainty in the simulation. The bottom panel shows the data divided by the sum of the prediction from the simulation.

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Figure 6:
Posterior kinematic distributions for the maximum likelihood fit. Different event categories and variables are used: $\eta $ distribution for the small-$R$ jet in 0t events (top), $\eta $ distribution of the b jet candidate in 1t0b events (middle), and soft drop mass of the t jet candidate in 1t1b events (bottom), in the $\mu $+jets (left) and e+jets (right) channels. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 6-a:
Posterior kinematic distributions for the maximum likelihood fit. Different event categories and variables are used: $\eta $ distribution for the small-$R$ jet in 0t events (top), $\eta $ distribution of the b jet candidate in 1t0b events (middle), and soft drop mass of the t jet candidate in 1t1b events (bottom), in the $\mu $+jets (left) and e+jets (right) channels. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 6-b:
Posterior kinematic distributions for the maximum likelihood fit. Different event categories and variables are used: $\eta $ distribution for the small-$R$ jet in 0t events (top), $\eta $ distribution of the b jet candidate in 1t0b events (middle), and soft drop mass of the t jet candidate in 1t1b events (bottom), in the $\mu $+jets (left) and e+jets (right) channels. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 6-c:
Posterior kinematic distributions for the maximum likelihood fit. Different event categories and variables are used: $\eta $ distribution for the small-$R$ jet in 0t events (top), $\eta $ distribution of the b jet candidate in 1t0b events (middle), and soft drop mass of the t jet candidate in 1t1b events (bottom), in the $\mu $+jets (left) and e+jets (right) channels. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 6-d:
Posterior kinematic distributions for the maximum likelihood fit. Different event categories and variables are used: $\eta $ distribution for the small-$R$ jet in 0t events (top), $\eta $ distribution of the b jet candidate in 1t0b events (middle), and soft drop mass of the t jet candidate in 1t1b events (bottom), in the $\mu $+jets (left) and e+jets (right) channels. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 6-e:
Posterior kinematic distributions for the maximum likelihood fit. Different event categories and variables are used: $\eta $ distribution for the small-$R$ jet in 0t events (top), $\eta $ distribution of the b jet candidate in 1t0b events (middle), and soft drop mass of the t jet candidate in 1t1b events (bottom), in the $\mu $+jets (left) and e+jets (right) channels. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 6-f:
Posterior kinematic distributions for the maximum likelihood fit. Different event categories and variables are used: $\eta $ distribution for the small-$R$ jet in 0t events (top), $\eta $ distribution of the b jet candidate in 1t0b events (middle), and soft drop mass of the t jet candidate in 1t1b events (bottom), in the $\mu $+jets (left) and e+jets (right) channels. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 7:
Distributions of the $ {p_{\mathrm {T}}} $ (left) and $y$ (right) of the t jet candidate for the 0t (top), 1t0b (middle), and 1t1b (bottom) regions for events in the combined $\ell $+jets channel. The posterior t tag scale factor and background normalizations are used. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 7-a:
Distributions of the $ {p_{\mathrm {T}}} $ (left) and $y$ (right) of the t jet candidate for the 0t (top), 1t0b (middle), and 1t1b (bottom) regions for events in the combined $\ell $+jets channel. The posterior t tag scale factor and background normalizations are used. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 7-b:
Distributions of the $ {p_{\mathrm {T}}} $ (left) and $y$ (right) of the t jet candidate for the 0t (top), 1t0b (middle), and 1t1b (bottom) regions for events in the combined $\ell $+jets channel. The posterior t tag scale factor and background normalizations are used. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 7-c:
Distributions of the $ {p_{\mathrm {T}}} $ (left) and $y$ (right) of the t jet candidate for the 0t (top), 1t0b (middle), and 1t1b (bottom) regions for events in the combined $\ell $+jets channel. The posterior t tag scale factor and background normalizations are used. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 7-d:
Distributions of the $ {p_{\mathrm {T}}} $ (left) and $y$ (right) of the t jet candidate for the 0t (top), 1t0b (middle), and 1t1b (bottom) regions for events in the combined $\ell $+jets channel. The posterior t tag scale factor and background normalizations are used. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 7-e:
Distributions of the $ {p_{\mathrm {T}}} $ (left) and $y$ (right) of the t jet candidate for the 0t (top), 1t0b (middle), and 1t1b (bottom) regions for events in the combined $\ell $+jets channel. The posterior t tag scale factor and background normalizations are used. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 7-f:
Distributions of the $ {p_{\mathrm {T}}} $ (left) and $y$ (right) of the t jet candidate for the 0t (top), 1t0b (middle), and 1t1b (bottom) regions for events in the combined $\ell $+jets channel. The posterior t tag scale factor and background normalizations are used. The data points are shown with solid markers, while the signal and background predictions are shown as stacked histograms. The bottom panel shows the data divided by the sum of the prediction from the simulation (solid markers) and the systematic uncertainty from the fit (shaded band).

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Figure 8:
Simulated fractions $f_{1,2}$ for the parton-level selection in the hadronic channel as a function of the leading top quark ${p_{\mathrm {T}}}$ (left) and $|y|$ (right).

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Figure 8-a:
Simulated fractions $f_{1,2}$ for the parton-level selection in the hadronic channel as a function of the leading top quark ${p_{\mathrm {T}}}$ (left) and $|y|$ (right).

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Figure 8-b:
Simulated fractions $f_{1,2}$ for the parton-level selection in the hadronic channel as a function of the leading top quark ${p_{\mathrm {T}}}$ (left) and $|y|$ (right).

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Figure 9:
Simulated fractions $f_{1,2}$ for the particle-level selection in the hadronic channel as a function of the leading top quark ${p_{\mathrm {T}}}$ (left) and $|y|$ (right).

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Figure 9-a:
Simulated fractions $f_{1,2}$ for the particle-level selection in the hadronic channel as a function of the leading top quark ${p_{\mathrm {T}}}$ (left) and $|y|$ (right).

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Figure 9-b:
Simulated fractions $f_{1,2}$ for the particle-level selection in the hadronic channel as a function of the leading top quark ${p_{\mathrm {T}}}$ (left) and $|y|$ (right).

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Figure 10:
Simulated migration matrices for the leading top quark ${p_{\mathrm {T}}}$ at the parton level (left) and particle level (right) in the hadronic channel. Each column is normalized to unity.

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Figure 10-a:
Simulated migration matrices for the leading top quark ${p_{\mathrm {T}}}$ at the parton level (left) and particle level (right) in the hadronic channel. Each column is normalized to unity.

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Figure 10-b:
Simulated migration matrices for the leading top quark ${p_{\mathrm {T}}}$ at the parton level (left) and particle level (right) in the hadronic channel. Each column is normalized to unity.

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Figure 11:
Simulated migration matrices for $m^{{\mathrm{t\bar{t}}}}$ at the parton level (left) and particle level (right) in the hadronic channel. Each column is normalized to unity.

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Figure 11-a:
Simulated migration matrices for $m^{{\mathrm{t\bar{t}}}}$ at the parton level (left) and particle level (right) in the hadronic channel. Each column is normalized to unity.

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Figure 11-b:
Simulated migration matrices for $m^{{\mathrm{t\bar{t}}}}$ at the parton level (left) and particle level (right) in the hadronic channel. Each column is normalized to unity.

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Figure 12:
Simulated migration matrices for top quark ${p_{\mathrm {T}}}$ at the parton level (left) and particle level (right) in the $\ell $+jets channel. Each column is normalized to unity.

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Figure 12-a:
Simulated migration matrices for top quark ${p_{\mathrm {T}}}$ at the parton level (left) and particle level (right) in the $\ell $+jets channel. Each column is normalized to unity.

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Figure 12-b:
Simulated migration matrices for top quark ${p_{\mathrm {T}}}$ at the parton level (left) and particle level (right) in the $\ell $+jets channel. Each column is normalized to unity.

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Figure 13:
Simulated migration matrices for top quark rapidity at the parton level (left) and particle level (right) in the $\ell $+jets channel. Each column is normalized to unity.

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Figure 13-a:
Simulated migration matrices for top quark rapidity at the parton level (left) and particle level (right) in the $\ell $+jets channel. Each column is normalized to unity.

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Figure 13-b:
Simulated migration matrices for top quark rapidity at the parton level (left) and particle level (right) in the $\ell $+jets channel. Each column is normalized to unity.

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Figure 14:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the leading top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 14-a:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the leading top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 14-b:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the leading top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 15:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the second top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 15-a:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the second top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 15-b:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the second top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 16:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the leading top quark $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 16-a:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the leading top quark $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 16-b:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the leading top quark $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 17:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the second top quark $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 17-a:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the second top quark $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 17-b:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the second top quark $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 18:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of $m^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 18-a:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of $m^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 18-b:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of $m^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 19:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of $ {p_{\mathrm {T}}} ^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 19-a:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of $ {p_{\mathrm {T}}} ^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 19-b:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of $ {p_{\mathrm {T}}} ^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 20:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of $y^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 20-a:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of $y^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 20-b:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of $y^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 21:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the leading top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 21-a:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the leading top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 21-b:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the leading top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 22:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the second top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 22-a:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the second top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 22-b:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the second top quark ${p_{\mathrm {T}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 23:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the leading top $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 23-a:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the leading top $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 23-b:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the leading top $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 24:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the second top quark $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 24-a:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the second top quark $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 24-b:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the second top quark $|y|$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 25:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of $m^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 25-a:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of $m^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 25-b:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of $m^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 26:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of $ {p_{\mathrm {T}}} ^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 26-a:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of $ {p_{\mathrm {T}}} ^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 26-b:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of $ {p_{\mathrm {T}}} ^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 27:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of $y^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 27-a:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of $y^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 27-b:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of $y^{{\mathrm{t\bar{t}}}}$ in the hadronic channel. The bottom panel shows the ratio (theory $-$ data)/data. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 28:
Decomposition of uncertainties in the absolute (left) and normalized (right) measurements at the particle level as a function of the leading top quark ${p_{\mathrm {T}}}$ (top) and $|y|$ (bottom) in the hadronic channel. The grey band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the jet energy scale and resolution of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering.

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Figure 28-a:
Decomposition of uncertainties in the absolute (left) and normalized (right) measurements at the particle level as a function of the leading top quark ${p_{\mathrm {T}}}$ (top) and $|y|$ (bottom) in the hadronic channel. The grey band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the jet energy scale and resolution of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering.

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Figure 28-b:
Decomposition of uncertainties in the absolute (left) and normalized (right) measurements at the particle level as a function of the leading top quark ${p_{\mathrm {T}}}$ (top) and $|y|$ (bottom) in the hadronic channel. The grey band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the jet energy scale and resolution of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering.

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Figure 28-c:
Decomposition of uncertainties in the absolute (left) and normalized (right) measurements at the particle level as a function of the leading top quark ${p_{\mathrm {T}}}$ (top) and $|y|$ (bottom) in the hadronic channel. The grey band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the jet energy scale and resolution of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering.

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Figure 28-d:
Decomposition of uncertainties in the absolute (left) and normalized (right) measurements at the particle level as a function of the leading top quark ${p_{\mathrm {T}}}$ (top) and $|y|$ (bottom) in the hadronic channel. The grey band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the jet energy scale and resolution of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering.

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Figure 29:
Decomposition of uncertainties in the absolute (left) and normalized (right) measurements at the parton level as a function of the leading top quark $ {p_{\mathrm {T}}} $ (top) and $|y|$ (bottom) in the hadronic channel. The grey band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the jet energy scale and resolution of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering.

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Figure 29-a:
Decomposition of uncertainties in the absolute (left) and normalized (right) measurements at the parton level as a function of the leading top quark $ {p_{\mathrm {T}}} $ (top) and $|y|$ (bottom) in the hadronic channel. The grey band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the jet energy scale and resolution of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering.

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Figure 29-b:
Decomposition of uncertainties in the absolute (left) and normalized (right) measurements at the parton level as a function of the leading top quark $ {p_{\mathrm {T}}} $ (top) and $|y|$ (bottom) in the hadronic channel. The grey band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the jet energy scale and resolution of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering.

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Figure 29-c:
Decomposition of uncertainties in the absolute (left) and normalized (right) measurements at the parton level as a function of the leading top quark $ {p_{\mathrm {T}}} $ (top) and $|y|$ (bottom) in the hadronic channel. The grey band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the jet energy scale and resolution of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering.

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Figure 29-d:
Decomposition of uncertainties in the absolute (left) and normalized (right) measurements at the parton level as a function of the leading top quark $ {p_{\mathrm {T}}} $ (top) and $|y|$ (bottom) in the hadronic channel. The grey band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the jet energy scale and resolution of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering.

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Figure 30:
Differential cross section measurements at the particle level as a function of the particle-level t jet $ {p_{\mathrm {T}}} $ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 30-a:
Differential cross section measurements at the particle level as a function of the particle-level t jet $ {p_{\mathrm {T}}} $ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 30-b:
Differential cross section measurements at the particle level as a function of the particle-level t jet $ {p_{\mathrm {T}}} $ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 31:
Differential cross section measurements at the particle level as a function of the particle-level t jet $|y|$ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 31-a:
Differential cross section measurements at the particle level as a function of the particle-level t jet $|y|$ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 31-b:
Differential cross section measurements at the particle level as a function of the particle-level t jet $|y|$ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 32:
Differential cross section measurements at the parton level as a function of the parton-level top quark $ {p_{\mathrm {T}}} $ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 32-a:
Differential cross section measurements at the parton level as a function of the parton-level top quark $ {p_{\mathrm {T}}} $ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 32-b:
Differential cross section measurements at the parton level as a function of the parton-level top quark $ {p_{\mathrm {T}}} $ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 33:
Differential cross section measurements at the parton level as a function of the parton-level top quark $|y|$ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 33-a:
Differential cross section measurements at the parton level as a function of the parton-level top quark $|y|$ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 33-b:
Differential cross section measurements at the parton level as a function of the parton-level top quark $|y|$ for the $\ell $+jets channel. Both absolute (left) and normalized (right) cross sections are shown. The uncertainties on the data markers are statistical, while the grey band shows the total statistical and systematic uncertainty.

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Figure 34:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the particle level as a function of the particle-level t jet $ {p_{\mathrm {T}}} $ (top row) or $|y|$ (bottom row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the jet energy scale, jet energy resolution, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from initial- and final-state radiation, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs as well as renormalization and factorization scales.

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Figure 34-a:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the particle level as a function of the particle-level t jet $ {p_{\mathrm {T}}} $ (top row) or $|y|$ (bottom row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the jet energy scale, jet energy resolution, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from initial- and final-state radiation, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs as well as renormalization and factorization scales.

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Figure 34-b:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the particle level as a function of the particle-level t jet $ {p_{\mathrm {T}}} $ (top row) or $|y|$ (bottom row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the jet energy scale, jet energy resolution, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from initial- and final-state radiation, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs as well as renormalization and factorization scales.

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Figure 34-c:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the particle level as a function of the particle-level t jet $ {p_{\mathrm {T}}} $ (top row) or $|y|$ (bottom row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the jet energy scale, jet energy resolution, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from initial- and final-state radiation, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs as well as renormalization and factorization scales.

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Figure 34-d:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the particle level as a function of the particle-level t jet $ {p_{\mathrm {T}}} $ (top row) or $|y|$ (bottom row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the jet energy scale, jet energy resolution, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from initial- and final-state radiation, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs as well as renormalization and factorization scales.

png pdf
Figure 35:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the parton level as a function of the top quark $ {p_{\mathrm {T}}} $ (top row) or $|y|$ (bottom row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the jet energy scale, jet energy resolution, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from initial- and final-state radiation, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs as well as renormalization and factorization scales.

png pdf
Figure 35-a:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the parton level as a function of the top quark $ {p_{\mathrm {T}}} $ (top row) or $|y|$ (bottom row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the jet energy scale, jet energy resolution, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from initial- and final-state radiation, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs as well as renormalization and factorization scales.

png pdf
Figure 35-b:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the parton level as a function of the top quark $ {p_{\mathrm {T}}} $ (top row) or $|y|$ (bottom row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the jet energy scale, jet energy resolution, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from initial- and final-state radiation, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs as well as renormalization and factorization scales.

png pdf
Figure 35-c:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the parton level as a function of the top quark $ {p_{\mathrm {T}}} $ (top row) or $|y|$ (bottom row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the jet energy scale, jet energy resolution, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from initial- and final-state radiation, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs as well as renormalization and factorization scales.

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Figure 35-d:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the parton level as a function of the top quark $ {p_{\mathrm {T}}} $ (top row) or $|y|$ (bottom row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the jet energy scale, jet energy resolution, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from initial- and final-state radiation, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs as well as renormalization and factorization scales.
Tables

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Table 1:
Post-fit values of the nuisance parameters for the fit to data in SR$_{\rm A}$ in the hadronic channel.

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Table 2:
Observed and predicted event yields with their respective statistical uncertainties in the signal region for the hadronic channel. The $\mathrm{t\bar{t}}$ and QCD multijet yields are obtained after the fit in SR$_{\rm A}$.

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Table 3:
Posterior signal and background event yields in the 0t, 1t0b, and 1t1b categories, together with the observation in data. The uncertainties include all posterior experimental uncertainties.
Summary
A measurement of the $\mathrm{t\bar{t}}$ production cross section for high-${p_{\mathrm{T}}}$ top quarks in proton-proton collisions at 13 TeV has been presented. The measurement uses events where either one or both top quarks decay hadronically, and where the hadronic decay products cannot be resolved but are instead clustered in a single large-$R$ jet with ${p_{\mathrm{T}}} > $ 400 GeV. The hadronic final state contains two such large-$R$ jets, while the $\ell$+jets final state is identified through the presence of an electron/muon, a b-tagged jet from the leptonically decaying top quark, missing transverse momentum from the escaping neutrino, and a single t-tagged large-$R$ jet. The measurement utilizes a larger data set compared to previous results in order to explore a wider phase space of the $\mathrm{t\bar{t}}$ production and elucidate the discrepancies with the theory predictions that have been reported in earlier publications. For the hadronic channel, absolute and normalized differential cross sections are presented as a function of the leading and subleading top quark ${p_{\mathrm{T}}}$ and $|y|$, and as a function of the invariant mass, ${p_{\mathrm{T}}}$, and $y$ of the $\mathrm{t\bar{t}}$ system, unfolded to the particle and parton level. For the $\ell$+jets channel, the differential cross section is measured as a function of the ${p_{\mathrm{T}}}$ and $|y|$ of the hadronically decaying top quark, at the particle level within a fiducial phase space and at the parton level. The results are compared to theoretical predictions from the POWHEG matrix-element generator, interfaced with PYTHIA8 or HERWIG++ for the underlying event and parton shower, and from the MCatNLO matrix-element generator, interfaced with PYTHIA8. All the models overpredict significantly the absolute cross section in the phase space of the measurement (by up to 35%), while they describe consistently the differential distribution of most variables. The most notable discrepancy is observed for the hadronic channel in the invariant mass of the $\mathrm{t\bar{t}}$ system and the ${p_{\mathrm{T}}}$ of the subleading t jet, where the theoretical models predict a higher cross section at high mass and ${p_{\mathrm{T}}}$ values, respectively. To further investigate the severity of this discrepancy, more data is needed to enhance the statistical significance of the measurement in this region of phase space.
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Compact Muon Solenoid
LHC, CERN