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Compact Muon Solenoid
LHC, CERN

CMS-TOP-20-001 ; CERN-EP-2021-135
Measurement of differential $\mathrm{t\bar{t}}$ production cross sections in the full kinematic range using lepton+jets events from proton-proton collisions at $\sqrt{s} = $ 13 TeV
Phys. Rev. D 104 (2021) 092013
Abstract: Measurements of differential and double-differential cross sections of top quark pair ($\mathrm{t\bar{t}}$) production are presented in the lepton+jets channels with a single electron or muon and jets in the final state. The analysis combines for the first time signatures of top quarks with low transverse momentum ${p_{\mathrm{T}}}$, where the top quark decay products can be identified as separated jets and isolated leptons, and with high ${p_{\mathrm{T}}}$, where the decay products are collimated and overlap. The measurements are based on proton-proton collision data at $\sqrt{s} = $ 13 TeV collected by the CMS experiment at the LHC, corresponding to an integrated luminosity of 137 fb$^{-1}$. The cross sections are presented at the parton and particle levels, where the latter minimizes extrapolations based on theoretical assumptions. Most of the measured differential cross sections are well described by standard model predictions with the exception of some double-differential distributions. The inclusive $\mathrm{t\bar{t}}$ production cross section is measured to be $\sigma_\mathrm{t\bar{t}} = $ 791 $\pm$ 25 pb, which constitutes the most precise measurement in the lepton+jets channel to date.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Comparison between the ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ distributions at the particle and parton levels, extracted from the POWHEG+PYTHIA simulation. Left : the percentage of ${p_{\mathrm {T}}} $-bin migration between the particle and parton levels, shown using the color scale to the right of the plot. The bin boundaries are those shown in the right panel. Each column is normalized such that the sum of its entries corresponds to the fraction of particle-level events in this bin at the parton level in the full phase space. Right : fraction of parton-level top quarks in the same ${p_{\mathrm {T}}}$ bin at the particle level (purity), fraction of particle-level top quarks in the same ${p_{\mathrm {T}}}$ bin at the parton level (stability), ratio of the number of particle- to parton-level top quarks (bin efficiency), and the fraction of particle-level events that are not signal events at the parton level.

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Figure 1-a:
Comparison between the ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ distributions at the particle and parton levels, extracted from the POWHEG+PYTHIA simulation. Left : the percentage of ${p_{\mathrm {T}}} $-bin migration between the particle and parton levels, shown using the color scale to the right of the plot. The bin boundaries are those shown in the right panel. Each column is normalized such that the sum of its entries corresponds to the fraction of particle-level events in this bin at the parton level in the full phase space. Right : fraction of parton-level top quarks in the same ${p_{\mathrm {T}}}$ bin at the particle level (purity), fraction of particle-level top quarks in the same ${p_{\mathrm {T}}}$ bin at the parton level (stability), ratio of the number of particle- to parton-level top quarks (bin efficiency), and the fraction of particle-level events that are not signal events at the parton level.

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Figure 1-b:
Comparison between the ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ distributions at the particle and parton levels, extracted from the POWHEG+PYTHIA simulation. Left : the percentage of ${p_{\mathrm {T}}} $-bin migration between the particle and parton levels, shown using the color scale to the right of the plot. The bin boundaries are those shown in the right panel. Each column is normalized such that the sum of its entries corresponds to the fraction of particle-level events in this bin at the parton level in the full phase space. Right : fraction of parton-level top quarks in the same ${p_{\mathrm {T}}}$ bin at the particle level (purity), fraction of particle-level top quarks in the same ${p_{\mathrm {T}}}$ bin at the parton level (stability), ratio of the number of particle- to parton-level top quarks (bin efficiency), and the fraction of particle-level events that are not signal events at the parton level.

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Figure 2:
Normalized two-dimensional mass distribution of the correctly reconstructed hadronically decaying W bosons and the correctly reconstructed ${\mathrm{t} _\mathrm {h}}$ candidate (left). Normalized distributions of the reconstructed $m({\mathrm{t} _\ell})$ for correctly (solid red curve) and incorrectly (dashed blue curve) selected ${\mathrm{b} _\ell}$ (right). The distributions are taken from the POWHEG+PYTHIA ${\mathrm{t} \mathrm{\bar{t}}}$ simulation for the parton-level measurement.

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Figure 2-a:
Normalized two-dimensional mass distribution of the correctly reconstructed hadronically decaying W bosons and the correctly reconstructed ${\mathrm{t} _\mathrm {h}}$ candidate (left). Normalized distributions of the reconstructed $m({\mathrm{t} _\ell})$ for correctly (solid red curve) and incorrectly (dashed blue curve) selected ${\mathrm{b} _\ell}$ (right). The distributions are taken from the POWHEG+PYTHIA ${\mathrm{t} \mathrm{\bar{t}}}$ simulation for the parton-level measurement.

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Figure 2-b:
Normalized two-dimensional mass distribution of the correctly reconstructed hadronically decaying W bosons and the correctly reconstructed ${\mathrm{t} _\mathrm {h}}$ candidate (left). Normalized distributions of the reconstructed $m({\mathrm{t} _\ell})$ for correctly (solid red curve) and incorrectly (dashed blue curve) selected ${\mathrm{b} _\ell}$ (right). The distributions are taken from the POWHEG+PYTHIA ${\mathrm{t} \mathrm{\bar{t}}}$ simulation for the parton-level measurement.

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Figure 3:
Distributions of the negative log-likelihood for the selected best permutation in the 2t (upper) and 1t1l (lower) categories. The comparisons of data (points) and predictions (colored histograms) are shown for the (left) parton- and (right) particle-level measurements. Events generated with POWHEG+PYTHIA describe ${\mathrm{t} \mathrm{\bar{t}}}$ production. The contribution of multijet, DY, and W boson background events is extracted from the data (cf. Section 10). Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The vertical bars on the points show the statistical uncertainty. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 3-a:
Distributions of the negative log-likelihood for the selected best permutation in the 2t (upper) and 1t1l (lower) categories. The comparisons of data (points) and predictions (colored histograms) are shown for the (left) parton- and (right) particle-level measurements. Events generated with POWHEG+PYTHIA describe ${\mathrm{t} \mathrm{\bar{t}}}$ production. The contribution of multijet, DY, and W boson background events is extracted from the data (cf. Section 10). Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The vertical bars on the points show the statistical uncertainty. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 3-b:
Distributions of the negative log-likelihood for the selected best permutation in the 2t (upper) and 1t1l (lower) categories. The comparisons of data (points) and predictions (colored histograms) are shown for the (left) parton- and (right) particle-level measurements. Events generated with POWHEG+PYTHIA describe ${\mathrm{t} \mathrm{\bar{t}}}$ production. The contribution of multijet, DY, and W boson background events is extracted from the data (cf. Section 10). Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The vertical bars on the points show the statistical uncertainty. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 3-c:
Distributions of the negative log-likelihood for the selected best permutation in the 2t (upper) and 1t1l (lower) categories. The comparisons of data (points) and predictions (colored histograms) are shown for the (left) parton- and (right) particle-level measurements. Events generated with POWHEG+PYTHIA describe ${\mathrm{t} \mathrm{\bar{t}}}$ production. The contribution of multijet, DY, and W boson background events is extracted from the data (cf. Section 10). Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The vertical bars on the points show the statistical uncertainty. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 3-d:
Distributions of the negative log-likelihood for the selected best permutation in the 2t (upper) and 1t1l (lower) categories. The comparisons of data (points) and predictions (colored histograms) are shown for the (left) parton- and (right) particle-level measurements. Events generated with POWHEG+PYTHIA describe ${\mathrm{t} \mathrm{\bar{t}}}$ production. The contribution of multijet, DY, and W boson background events is extracted from the data (cf. Section 10). Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The vertical bars on the points show the statistical uncertainty. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 4:
Distributions of the output discriminant ${L_\mathrm {NN}}$ used in the boosted ${\mathrm{t} _\ell}$ identification for the low-${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$ (left) and high-${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$ (right) regions. The data (points) and predictions from simulation (colored histograms) are shown. The hatched area gives the combined statistical and systematic uncertainties in the prediction. The vertical bars on the points show the statistical uncertainty in the data. The ratio of the data to the sum of the individual predictions is displayed in the lower panels.

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Figure 4-a:
Distributions of the output discriminant ${L_\mathrm {NN}}$ used in the boosted ${\mathrm{t} _\ell}$ identification for the low-${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$ (left) and high-${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$ (right) regions. The data (points) and predictions from simulation (colored histograms) are shown. The hatched area gives the combined statistical and systematic uncertainties in the prediction. The vertical bars on the points show the statistical uncertainty in the data. The ratio of the data to the sum of the individual predictions is displayed in the lower panels.

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Figure 4-b:
Distributions of the output discriminant ${L_\mathrm {NN}}$ used in the boosted ${\mathrm{t} _\ell}$ identification for the low-${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$ (left) and high-${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$ (right) regions. The data (points) and predictions from simulation (colored histograms) are shown. The hatched area gives the combined statistical and systematic uncertainties in the prediction. The vertical bars on the points show the statistical uncertainty in the data. The ratio of the data to the sum of the individual predictions is displayed in the lower panels.

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Figure 5:
The selection efficiency for background jets as a function of the signal selection efficiency in three ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ ranges for 3Q (solid curves) and 2Q+3Q (dashed curves) jets from simulation. An efficiency of 100% corresponds to the preselection of $ {| \eta |} < $ 2.4 and $m_\mathrm {jet} > $ 120 GeV.

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Figure 6:
Schematic overview of the categories and how they are used in the analysis.

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Figure 7:
Comparisons of various reconstructed kinematic distributions between data (points) and predictions (colored histograms) obtained for the parton-level measurement. Contributions of the various reconstruction categories are obtained from the POWHEG+PYTHIA ${\mathrm{t} \mathrm{\bar{t}}}$ simulation. The contribution of multijet, DY, and W boson background events in the 2t and 1t1l categories are extracted from the data (cf. Section 10). All other background contributions are taken from simulation. Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 7-a:
Comparisons of various reconstructed kinematic distributions between data (points) and predictions (colored histograms) obtained for the parton-level measurement. Contributions of the various reconstruction categories are obtained from the POWHEG+PYTHIA ${\mathrm{t} \mathrm{\bar{t}}}$ simulation. The contribution of multijet, DY, and W boson background events in the 2t and 1t1l categories are extracted from the data (cf. Section 10). All other background contributions are taken from simulation. Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 7-b:
Comparisons of various reconstructed kinematic distributions between data (points) and predictions (colored histograms) obtained for the parton-level measurement. Contributions of the various reconstruction categories are obtained from the POWHEG+PYTHIA ${\mathrm{t} \mathrm{\bar{t}}}$ simulation. The contribution of multijet, DY, and W boson background events in the 2t and 1t1l categories are extracted from the data (cf. Section 10). All other background contributions are taken from simulation. Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 7-c:
Comparisons of various reconstructed kinematic distributions between data (points) and predictions (colored histograms) obtained for the parton-level measurement. Contributions of the various reconstruction categories are obtained from the POWHEG+PYTHIA ${\mathrm{t} \mathrm{\bar{t}}}$ simulation. The contribution of multijet, DY, and W boson background events in the 2t and 1t1l categories are extracted from the data (cf. Section 10). All other background contributions are taken from simulation. Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 7-d:
Comparisons of various reconstructed kinematic distributions between data (points) and predictions (colored histograms) obtained for the parton-level measurement. Contributions of the various reconstruction categories are obtained from the POWHEG+PYTHIA ${\mathrm{t} \mathrm{\bar{t}}}$ simulation. The contribution of multijet, DY, and W boson background events in the 2t and 1t1l categories are extracted from the data (cf. Section 10). All other background contributions are taken from simulation. Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 7-e:
Comparisons of various reconstructed kinematic distributions between data (points) and predictions (colored histograms) obtained for the parton-level measurement. Contributions of the various reconstruction categories are obtained from the POWHEG+PYTHIA ${\mathrm{t} \mathrm{\bar{t}}}$ simulation. The contribution of multijet, DY, and W boson background events in the 2t and 1t1l categories are extracted from the data (cf. Section 10). All other background contributions are taken from simulation. Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 7-f:
Comparisons of various reconstructed kinematic distributions between data (points) and predictions (colored histograms) obtained for the parton-level measurement. Contributions of the various reconstruction categories are obtained from the POWHEG+PYTHIA ${\mathrm{t} \mathrm{\bar{t}}}$ simulation. The contribution of multijet, DY, and W boson background events in the 2t and 1t1l categories are extracted from the data (cf. Section 10). All other background contributions are taken from simulation. Combined systematic (cf. Section 13) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the sum of the predicted yields are provided in the lower panels.

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Figure 8:
The ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (left) and ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$ (right) distributions for the multijet and DY/W boson backgrounds from data (points) in the control region and from simulation (colored histograms) in the signal region for the 1t1l category. The red lines show the variations in the control region distribution when shifting the discriminant selection range up (solid lines) and down (dotted lines). The blue dashed line gives the sum of the multijet and DY/W boson predictions in the control region. The hatched band shows the statistical uncertainties in the prediction. The data points are shown with statistical uncertainties. The ratios of data to the predicted yields are provided in the lower panels.

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Figure 8-a:
The ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (left) and ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$ (right) distributions for the multijet and DY/W boson backgrounds from data (points) in the control region and from simulation (colored histograms) in the signal region for the 1t1l category. The red lines show the variations in the control region distribution when shifting the discriminant selection range up (solid lines) and down (dotted lines). The blue dashed line gives the sum of the multijet and DY/W boson predictions in the control region. The hatched band shows the statistical uncertainties in the prediction. The data points are shown with statistical uncertainties. The ratios of data to the predicted yields are provided in the lower panels.

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Figure 8-b:
The ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (left) and ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$ (right) distributions for the multijet and DY/W boson backgrounds from data (points) in the control region and from simulation (colored histograms) in the signal region for the 1t1l category. The red lines show the variations in the control region distribution when shifting the discriminant selection range up (solid lines) and down (dotted lines). The blue dashed line gives the sum of the multijet and DY/W boson predictions in the control region. The hatched band shows the statistical uncertainties in the prediction. The data points are shown with statistical uncertainties. The ratios of data to the predicted yields are provided in the lower panels.

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Figure 9:
The postfit ${H_\mathrm {NN}}$ distributions in bins of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (left) and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (right) for the data (points) and simulation (colored histograms). The electron and muon events and all three years of data taking have been combined. The hatched area shows the total uncertainties from the fit. The vertical bars on the points represent the statistical uncertainty in the data. The ratios of data to the sum of the fitted yields are provided in the lower panels.

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Figure 9-a:
The postfit ${H_\mathrm {NN}}$ distributions in bins of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (left) and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (right) for the data (points) and simulation (colored histograms). The electron and muon events and all three years of data taking have been combined. The hatched area shows the total uncertainties from the fit. The vertical bars on the points represent the statistical uncertainty in the data. The ratios of data to the sum of the fitted yields are provided in the lower panels.

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Figure 9-b:
The postfit ${H_\mathrm {NN}}$ distributions in bins of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (left) and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (right) for the data (points) and simulation (colored histograms). The electron and muon events and all three years of data taking have been combined. The hatched area shows the total uncertainties from the fit. The vertical bars on the points represent the statistical uncertainty in the data. The ratios of data to the sum of the fitted yields are provided in the lower panels.

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Figure 9-c:
The postfit ${H_\mathrm {NN}}$ distributions in bins of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (left) and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (right) for the data (points) and simulation (colored histograms). The electron and muon events and all three years of data taking have been combined. The hatched area shows the total uncertainties from the fit. The vertical bars on the points represent the statistical uncertainty in the data. The ratios of data to the sum of the fitted yields are provided in the lower panels.

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Figure 9-d:
The postfit ${H_\mathrm {NN}}$ distributions in bins of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (left) and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (right) for the data (points) and simulation (colored histograms). The electron and muon events and all three years of data taking have been combined. The hatched area shows the total uncertainties from the fit. The vertical bars on the points represent the statistical uncertainty in the data. The ratios of data to the sum of the fitted yields are provided in the lower panels.

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Figure 9-e:
The postfit ${H_\mathrm {NN}}$ distributions in bins of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (left) and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (right) for the data (points) and simulation (colored histograms). The electron and muon events and all three years of data taking have been combined. The hatched area shows the total uncertainties from the fit. The vertical bars on the points represent the statistical uncertainty in the data. The ratios of data to the sum of the fitted yields are provided in the lower panels.

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Figure 9-f:
The postfit ${H_\mathrm {NN}}$ distributions in bins of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (left) and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (right) for the data (points) and simulation (colored histograms). The electron and muon events and all three years of data taking have been combined. The hatched area shows the total uncertainties from the fit. The vertical bars on the points represent the statistical uncertainty in the data. The ratios of data to the sum of the fitted yields are provided in the lower panels.

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Figure 10:
Distributions of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (upper left), ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (upper right), ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ (lower left), and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$ (lower right) after background subtraction. The points show the data and the dashed lines the predictions for the various events types. The lower panels give the ratio of the data to the predictions. The vertical bars on the points give the statistical uncertainties, and the horizontal bars the bin widths.

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Figure 10-a:
Distributions of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (upper left), ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (upper right), ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ (lower left), and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$ (lower right) after background subtraction. The points show the data and the dashed lines the predictions for the various events types. The lower panels give the ratio of the data to the predictions. The vertical bars on the points give the statistical uncertainties, and the horizontal bars the bin widths.

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Figure 10-b:
Distributions of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (upper left), ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (upper right), ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ (lower left), and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$ (lower right) after background subtraction. The points show the data and the dashed lines the predictions for the various events types. The lower panels give the ratio of the data to the predictions. The vertical bars on the points give the statistical uncertainties, and the horizontal bars the bin widths.

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Figure 10-c:
Distributions of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (upper left), ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (upper right), ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ (lower left), and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$ (lower right) after background subtraction. The points show the data and the dashed lines the predictions for the various events types. The lower panels give the ratio of the data to the predictions. The vertical bars on the points give the statistical uncertainties, and the horizontal bars the bin widths.

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Figure 10-d:
Distributions of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ (upper left), ${m({\mathrm{t} \mathrm{\bar{t}}})}$ (upper right), ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ (lower left), and ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$ (lower right) after background subtraction. The points show the data and the dashed lines the predictions for the various events types. The lower panels give the ratio of the data to the predictions. The vertical bars on the points give the statistical uncertainties, and the horizontal bars the bin widths.

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Figure 11:
Combined response matrices of all reconstruction categories for the measurements of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ at parton (upper left) and particle (lower left) levels from the POWHEG+PYTHIA simulation. The purity (fraction of parton-/particle-level events that are reconstructed in the same bin at the detector level), stability (fraction of detector-level events that belong in the same bin at the parton/particle level), the efficiency per bin, and the fraction of ${\mathrm{t} \mathrm{\bar{t}}}$ background for the corresponding parton and particle levels are shown in the right plots.

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Figure 11-a:
Combined response matrices of all reconstruction categories for the measurements of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ at parton (upper left) and particle (lower left) levels from the POWHEG+PYTHIA simulation. The purity (fraction of parton-/particle-level events that are reconstructed in the same bin at the detector level), stability (fraction of detector-level events that belong in the same bin at the parton/particle level), the efficiency per bin, and the fraction of ${\mathrm{t} \mathrm{\bar{t}}}$ background for the corresponding parton and particle levels are shown in the right plots.

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Figure 11-b:
Combined response matrices of all reconstruction categories for the measurements of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ at parton (upper left) and particle (lower left) levels from the POWHEG+PYTHIA simulation. The purity (fraction of parton-/particle-level events that are reconstructed in the same bin at the detector level), stability (fraction of detector-level events that belong in the same bin at the parton/particle level), the efficiency per bin, and the fraction of ${\mathrm{t} \mathrm{\bar{t}}}$ background for the corresponding parton and particle levels are shown in the right plots.

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Figure 11-c:
Combined response matrices of all reconstruction categories for the measurements of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ at parton (upper left) and particle (lower left) levels from the POWHEG+PYTHIA simulation. The purity (fraction of parton-/particle-level events that are reconstructed in the same bin at the detector level), stability (fraction of detector-level events that belong in the same bin at the parton/particle level), the efficiency per bin, and the fraction of ${\mathrm{t} \mathrm{\bar{t}}}$ background for the corresponding parton and particle levels are shown in the right plots.

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Figure 11-d:
Combined response matrices of all reconstruction categories for the measurements of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ at parton (upper left) and particle (lower left) levels from the POWHEG+PYTHIA simulation. The purity (fraction of parton-/particle-level events that are reconstructed in the same bin at the detector level), stability (fraction of detector-level events that belong in the same bin at the parton/particle level), the efficiency per bin, and the fraction of ${\mathrm{t} \mathrm{\bar{t}}}$ background for the corresponding parton and particle levels are shown in the right plots.

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Figure 12:
The $p$-values of the $\chi ^2$ fits for the listed variables are shown for the parton- (upper) and particle- (lower) level measurements.

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Figure 12-a:
The $p$-values of the $\chi ^2$ fits for the listed variables are shown for the parton- (upper) and particle- (lower) level measurements.

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Figure 12-b:
The $p$-values of the $\chi ^2$ fits for the listed variables are shown for the parton- (upper) and particle- (lower) level measurements.

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Figure 13:
The individual sources of systematic uncertainties in the various parton (left) and particle (right) measurements and their relative contributions to the overall uncertainty. Sources with a maximum uncertainty below 1.5% are combined in the category "Other''.

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Figure 13-a:
The individual sources of systematic uncertainties in the various parton (left) and particle (right) measurements and their relative contributions to the overall uncertainty. Sources with a maximum uncertainty below 1.5% are combined in the category "Other''.

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Figure 13-b:
The individual sources of systematic uncertainties in the various parton (left) and particle (right) measurements and their relative contributions to the overall uncertainty. Sources with a maximum uncertainty below 1.5% are combined in the category "Other''.

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Figure 13-c:
The individual sources of systematic uncertainties in the various parton (left) and particle (right) measurements and their relative contributions to the overall uncertainty. Sources with a maximum uncertainty below 1.5% are combined in the category "Other''.

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Figure 13-d:
The individual sources of systematic uncertainties in the various parton (left) and particle (right) measurements and their relative contributions to the overall uncertainty. Sources with a maximum uncertainty below 1.5% are combined in the category "Other''.

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Figure 13-e:
The individual sources of systematic uncertainties in the various parton (left) and particle (right) measurements and their relative contributions to the overall uncertainty. Sources with a maximum uncertainty below 1.5% are combined in the category "Other''.

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Figure 13-f:
The individual sources of systematic uncertainties in the various parton (left) and particle (right) measurements and their relative contributions to the overall uncertainty. Sources with a maximum uncertainty below 1.5% are combined in the category "Other''.

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Figure 14:
The $Z$-scores from the corresponding $\chi ^2$ tests comparing the measured differential cross sections for the shown variables at the parton (upper) and particle (lower) levels to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The $Z$-scores are truncated at an upper limit of six. The uncertainties in the measurements and the predictions are taken into account in the $\chi ^2$ calculation.

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Figure 14-a:
The $Z$-scores from the corresponding $\chi ^2$ tests comparing the measured differential cross sections for the shown variables at the parton (upper) and particle (lower) levels to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The $Z$-scores are truncated at an upper limit of six. The uncertainties in the measurements and the predictions are taken into account in the $\chi ^2$ calculation.

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Figure 14-b:
The $Z$-scores from the corresponding $\chi ^2$ tests comparing the measured differential cross sections for the shown variables at the parton (upper) and particle (lower) levels to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The $Z$-scores are truncated at an upper limit of six. The uncertainties in the measurements and the predictions are taken into account in the $\chi ^2$ calculation.

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Figure 15:
Differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 15-a:
Differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 15-b:
Differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 15-c:
Differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 15-d:
Differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 15-e:
Differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 16:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 16-a:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 16-b:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 16-c:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 16-d:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 16-e:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 17:
Differential cross sections at the parton level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 17-a:
Differential cross sections at the parton level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 17-b:
Differential cross sections at the parton level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 17-c:
Differential cross sections at the parton level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 17-d:
Differential cross sections at the parton level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 18:
Differential cross sections at the particle level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 18-a:
Differential cross sections at the particle level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 18-b:
Differential cross sections at the particle level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 18-c:
Differential cross sections at the particle level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 18-d:
Differential cross sections at the particle level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 19:
Differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 19-a:
Differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 19-b:
Differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 19-c:
Differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 19-d:
Differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 19-e:
Differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 20:
Differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 20-a:
Differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 20-b:
Differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 20-c:
Differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 20-d:
Differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 20-e:
Differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} \mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 21:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 21-a:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 21-b:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 21-c:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 21-d:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 21-e:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 21-f:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 22:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 22-a:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 22-b:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 22-c:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 22-d:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 22-e:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 22-f:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 23:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 23-a:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 23-b:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 23-c:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 23-d:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 23-e:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 23-f:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 24:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 24-a:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 24-b:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 24-c:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 24-d:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 24-e:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 24-f:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{| y({\mathrm{t} \mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 25:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 25-a:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 25-b:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 25-c:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 25-d:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 25-e:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 25-f:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 26:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 26-a:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 26-b:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 26-c:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 26-d:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 26-e:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 26-f:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 27:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}}}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 27-a:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}}}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 27-b:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}}}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 27-c:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}}}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 27-d:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}}}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 27-e:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}}}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 27-f:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}}}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 28:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 28-a:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 28-b:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 28-c:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 28-d:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 28-e:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 28-f:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 29:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 29-a:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 29-b:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 29-c:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 29-d:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 29-e:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 29-f:
Double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 30:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 30-a:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 30-b:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 30-c:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 30-d:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 30-e:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 30-f:
Double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 31:
Double-differential cross section at the parton level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs. ${m({\mathrm{t} \mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 31-a:
Double-differential cross section at the parton level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs. ${m({\mathrm{t} \mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 31-b:
Double-differential cross section at the parton level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs. ${m({\mathrm{t} \mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 31-c:
Double-differential cross section at the parton level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs. ${m({\mathrm{t} \mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 31-d:
Double-differential cross section at the parton level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs. ${m({\mathrm{t} \mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 32:
Double-differential cross section at the particle level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs. ${m({\mathrm{t} \mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 32-a:
Double-differential cross section at the particle level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs. ${m({\mathrm{t} \mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 32-b:
Double-differential cross section at the particle level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs. ${m({\mathrm{t} \mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 32-c:
Double-differential cross section at the particle level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs. ${m({\mathrm{t} \mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 32-d:
Double-differential cross section at the particle level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs. ${m({\mathrm{t} \mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 33:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 33-a:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 33-b:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 33-c:
Double-differential cross section at the parton level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 34:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 34-a:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 34-b:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 34-c:
Double-differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure 35:
Double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$.

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Figure 35-a:
Double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$.

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Figure 35-b:
Double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$.

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Figure 35-c:
Double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$.

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Figure 35-d:
Double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$.

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Figure 35-e:
Double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$.

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Figure 35-f:
Double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$.

png pdf
Figure 36:
Double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$

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Figure 36-a:
Double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$

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Figure 36-b:
Double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$

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Figure 36-c:
Double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$

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Figure 36-d:
Double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$

png pdf
Figure 36-e:
Double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$

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Figure 36-f:
Double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs. ${{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels. Lower right: ratio of $ {| y(\mathrm{\bar{t}}) |} / {| y(\mathrm{t}) |}$

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Figure 37:
Measurements of the ${\mathrm{t} \mathrm{\bar{t}}}$ production cross sections $\sigma _{{\mathrm{e} \text {/} \mu \text {+jets}}}$ with their total uncertainty obtained as the sum of the cross sections in all bins of a distribution as a function of the kinematic variable used in the determination. The results are compared to the Top++ and the Matrix predictions with their corresponding uncertainties.

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Figure 38:
Measurements of the ${\mathrm{t} \mathrm{\bar{t}}}$ production cross sections $\sigma _\mathrm {particle}$ at the particle level and their total uncertainties as a function of the kinematic variable used in the determination. The results are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA.

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Figure 39:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} (\ell)}$, jet multiplicity, ${H_{\mathrm {T}}}$, and ${m_\text {evt}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 39-a:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} (\ell)}$, jet multiplicity, ${H_{\mathrm {T}}}$, and ${m_\text {evt}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 39-b:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} (\ell)}$, jet multiplicity, ${H_{\mathrm {T}}}$, and ${m_\text {evt}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 39-c:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} (\ell)}$, jet multiplicity, ${H_{\mathrm {T}}}$, and ${m_\text {evt}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 39-d:
Differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} (\ell)}$, jet multiplicity, ${H_{\mathrm {T}}}$, and ${m_\text {evt}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 40:
Differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 40-a:
Differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 40-b:
Differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 40-c:
Differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 40-d:
Differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 41:
Differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 41-a:
Differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 41-b:
Differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 41-c:
Differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 41-d:
Differential cross section at the particle level as a function of ${m({\mathrm{t} \mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 42:
Differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 42-a:
Differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 42-b:
Differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 42-c:
Differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure 42-d:
Differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} \mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A1:
Normalized differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A1-a:
Normalized differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A1-b:
Normalized differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A1-c:
Normalized differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A1-d:
Normalized differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A1-e:
Normalized differential cross sections at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A2:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A2-a:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A2-b:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A2-c:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A2-d:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A2-e:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\ell})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {high}})}$, ${{p_{\mathrm {T}}} ({\mathrm{t} _\text {low}})}$, and ${S_\mathrm {T}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A3:
Normalized differential cross sections at the parton level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A3-a:
Normalized differential cross sections at the parton level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A3-b:
Normalized differential cross sections at the parton level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A3-c:
Normalized differential cross sections at the parton level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A3-d:
Normalized differential cross sections at the parton level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A4:
Normalized differential cross sections at the particle level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A4-a:
Normalized differential cross sections at the particle level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A4-b:
Normalized differential cross sections at the particle level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A4-c:
Normalized differential cross sections at the particle level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A4-d:
Normalized differential cross sections at the particle level as a function of ${{| y({\mathrm{t} _\mathrm {h}}) |}}$, ${{| y({\mathrm{t} _\ell}) |}}$, and the differences ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ and ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A5:
Normalized differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A5-a:
Normalized differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A5-b:
Normalized differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A5-c:
Normalized differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A5-d:
Normalized differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A5-e:
Normalized differential cross sections at the parton level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A6:
Normalized differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A6-a:
Normalized differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A6-b:
Normalized differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A6-c:
Normalized differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A6-d:
Normalized differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A6-e:
Normalized differential cross sections at the particle level as a function of kinematic variables of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ system. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A7:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A7-a:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A7-b:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A7-c:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A7-d:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A7-e:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A7-f:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A8:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A8-a:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A8-b:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A8-c:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A8-d:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A8-e:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A8-f:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ vs. ${{| y({\mathrm{t} _\mathrm {h}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A9:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A9-a:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A9-b:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A9-c:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A9-d:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A9-e:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A9-f:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A10:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A10-a:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A10-b:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A10-c:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A10-d:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A10-e:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A10-f:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {{| y({\mathrm{t} {}\mathrm{\bar{t}}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A11:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A11-a:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A11-b:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A11-c:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A11-d:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A11-e:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A11-f:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A12:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A12-a:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A12-b:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A12-c:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A12-d:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A12-e:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A12-f:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs.$ {\cos(\theta ^*)}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A13:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A13-a:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A13-b:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A13-c:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A13-d:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A13-e:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A13-f:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A14:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A14-a:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A14-b:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A14-c:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A14-d:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A14-e:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A14-f:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A15:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A15-a:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A15-b:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A15-c:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A15-d:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A15-e:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A15-f:
Normalized double-differential cross section at the parton level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A16:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A16-a:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A16-b:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A16-c:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A16-d:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A16-e:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A16-f:
Normalized double-differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A17:
Normalized double-differential cross section at the parton level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs.$ {m({\mathrm{t} {}\mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A17-a:
Normalized double-differential cross section at the parton level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs.$ {m({\mathrm{t} {}\mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A17-b:
Normalized double-differential cross section at the parton level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs.$ {m({\mathrm{t} {}\mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A17-c:
Normalized double-differential cross section at the parton level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs.$ {m({\mathrm{t} {}\mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A17-d:
Normalized double-differential cross section at the parton level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs.$ {m({\mathrm{t} {}\mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A18:
Normalized double-differential cross section at the particle level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs.$ {m({\mathrm{t} {}\mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A18-a:
Normalized double-differential cross section at the particle level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs.$ {m({\mathrm{t} {}\mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A18-b:
Normalized double-differential cross section at the particle level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs.$ {m({\mathrm{t} {}\mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A18-c:
Normalized double-differential cross section at the particle level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs.$ {m({\mathrm{t} {}\mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A18-d:
Normalized double-differential cross section at the particle level as a function of ${{| \Delta y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$ vs.$ {m({\mathrm{t} {}\mathrm{\bar{t}}})}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A19:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A19-a:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A19-b:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A19-c:
Normalized double-differential cross section at the parton level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A20:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A20-a:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A20-b:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A20-c:
Normalized double-differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ vs. ${\Delta {| y_{\mathrm{t} /\mathrm{\bar{t}}} |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A21:
Normalized double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A21-a:
Normalized double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A21-b:
Normalized double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A21-c:
Normalized double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A21-d:
Normalized double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A21-e:
Normalized double-differential cross section at the parton level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA (P8) or HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A22:
Normalized double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A22-a:
Normalized double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A22-b:
Normalized double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A22-c:
Normalized double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A22-d:
Normalized double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A22-e:
Normalized double-differential cross section at the particle level as a function of ${{| y(\mathrm{t}) |}}$ vs.$ {{| y(\mathrm{\bar{t}}) |}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A23:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} (\ell)}$, jet multiplicity, ${H_{\mathrm {T}}}$, and ${m_\text {evt}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A23-a:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} (\ell)}$, jet multiplicity, ${H_{\mathrm {T}}}$, and ${m_\text {evt}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A23-b:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} (\ell)}$, jet multiplicity, ${H_{\mathrm {T}}}$, and ${m_\text {evt}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A23-c:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} (\ell)}$, jet multiplicity, ${H_{\mathrm {T}}}$, and ${m_\text {evt}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A23-d:
Normalized differential cross sections at the particle level as a function of ${{p_{\mathrm {T}}} (\ell)}$, jet multiplicity, ${H_{\mathrm {T}}}$, and ${m_\text {evt}}$. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A24:
Normalized differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A24-a:
Normalized differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A24-b:
Normalized differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A24-c:
Normalized differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A24-d:
Normalized differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} _\mathrm {h}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A25:
Normalized differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A25-a:
Normalized differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A25-b:
Normalized differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A25-c:
Normalized differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A25-d:
Normalized differential cross section at the particle level as a function of ${m({\mathrm{t} {}\mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A26:
Normalized differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A26-a:
Normalized differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A26-b:
Normalized differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A26-c:
Normalized differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

png pdf
Figure A26-d:
Normalized differential cross section at the particle level as a function of ${{p_{\mathrm {T}}} ({\mathrm{t} {}\mathrm{\bar{t}}})}$ in bins of jet multiplicity. The data are shown as points with gray (yellow) bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), and the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA. The ratios of the various predictions to the measured cross sections are shown in the lower panels.

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Figure A27:
Results of $\chi ^2$ tests in $Z$-scores comparing the measured normalized cross sections at the parton (upper) and particle (lower) levels to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The $Z$-scores are truncated at an upper limit of six. The uncertainties in the measurements and the predictions are taken into account for the calculation of the $\chi ^2$.

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Figure A27-a:
Results of $\chi ^2$ tests in $Z$-scores comparing the measured normalized cross sections at the parton (upper) and particle (lower) levels to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The $Z$-scores are truncated at an upper limit of six. The uncertainties in the measurements and the predictions are taken into account for the calculation of the $\chi ^2$.

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Figure A27-b:
Results of $\chi ^2$ tests in $Z$-scores comparing the measured normalized cross sections at the parton (upper) and particle (lower) levels to the predictions of POWHEG+PYTHIA (P8) for the CP5 and CUETP8M2T4 (T4) tunes, POWHEG+HERWIG (H7), the multiparton simulation MG5_aMC@NLO (MG)+PYTHIA FxFx, and the NNLO QCD calculations obtained with Matrix. The $Z$-scores are truncated at an upper limit of six. The uncertainties in the measurements and the predictions are taken into account for the calculation of the $\chi ^2$.
Tables

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Table 1:
The sources of systematic uncertainty and their absolute and relative values in the measurement of $\sigma _{\mathrm{t} \mathrm{\bar{t}}} $.

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Table 2:
The sources of systematic uncertainty and their absolute and relative values in the measurement of $\sigma _\mathrm {particle}$.
Summary
Measurements of differential and double-differential top quark pair ($\mathrm{t\bar{t}}$) production cross sections have been presented as a function of many kinematic properties of the top quarks and the $\mathrm{t\bar{t}}$ system at the parton and particle levels, where the latter reduces extrapolations based on theoretical assumptions. In addition, the number of additional jets and kinematic variables in bins of jet multiplicities have been measured at the particle level. The data correspond to an integrated luminosity of 137 fb$^{-1}$ recorded by the CMS experiment at the LHC in proton-proton collisions at $\sqrt{s} = $ 13 TeV. The $\mathrm{t\bar{t}}$ cross sections are measured in the lepton+jets channels with a single electron or muon and jets in the final state. For the first time the full spectra of differential cross sections are determined using a combination of resolved and boosted $\mathrm{t\bar{t}}$ topologies, in which the $\mathrm{t\bar{t}}$ decay products can be either identified as separated jets and isolated leptons or as collimated and overlapping jets, respectively. The combination of multiple reconstruction categories provides constraints on the systematic uncertainties and results in a significantly improved precision with respect to previous measurements. For a top quark transverse momentum ${p_{\mathrm{T}}} < $ 500 GeV the uncertainty is reduced by about 50% compared with the previous CMS measurement [17]. The dominant sources of systematic uncertainties are the jet energy scale, integrated luminosity, and $\mathrm{t\bar{t}}$ modeling.

Most differential distributions are found to be compatible with the standard model predictions of the event generators POWHEG+PYTHIA, POWHEG+HERWIG, and MG5_aMC@NLO+PYTHIA. In addition, the parton-level cross sections are compared to the next-to-next-to-leading-order quantum chromodynamics calculations obtained with Matrix that comes with a significantly reduced theoretical uncertainty. A softer top quark ${p_{\mathrm{T}}}$ spectrum is observed compared to most of the next-to-leading-order predictions. Deviations between the predictions and data are observed when the top quark ${p_{\mathrm{T}}}$ is measured in bins of the $\mathrm{t\bar{t}}$ invariant mass and ${p_{\mathrm{T}}}$. The POWHEG+HERWIG and MG5_aMC@NLO+PYTHIA simulations do not give a good description of the observed jet multiplicities and related observables such as the scalar ${p_{\mathrm{T}}}$ sum of additional jets. The total $\mathrm{t\bar{t}}$ production cross section is measured to be
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