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CMS-PAS-TOP-17-002
Measurement of differential cross sections for top quark pair production and associated jets using the lepton+jets final state in proton-proton collisions at 13 TeV
Abstract: Differential and double-differential cross sections for the production of top quark pairs in proton-proton collisions at 13 TeV are measured as a function of kinematic variables of the top quarks and the top quark-antiquark system. In addition, kinematic properties and multiplicities of jets associated with the production of top quark pairs are measured. This analysis is based on data collected by the CMS experiment at the LHC in 2016 corresponding to an integrated luminosity of 35.8 fb$^{-1}$. The measurements are performed in the lepton+jets decay channels with a single muon or electron and jets in the final state. The differential cross sections are presented at particle level, within a phase space close to the experimental acceptance, and at parton level in the full phase space. The results are compared to several standard model predictions that use different methods and approximations for their calculations. The kinematic properties of the top quarks and the top quark-antiquark system are well described apart from a softer transverse momentum of the top quarks, which has already been observed in previous measurements. The kinematic distributions and multiplicities of jets can be modeled by certain combinations of next-to-leading order calculations and parton shower models.
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Figures

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Figure 1:
Comparison between the $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) at particle and parton level, extracted from the POWHEG+PYTHIA8 simulation. Left : fraction of parton-level top quarks in the same bin at particle level (purity), fraction of particle-level top quarks in the same bin at parton level (stability), ratio of the number of particle- to parton-level top quarks, and fraction of events with a particle-level top quark pair that are not considered as signal events at parton level. Right : bin migrations between particle and parton level. The $ {p_{\mathrm {T}}} $ range of the bins can be taken from the left panel. Each column is normalized to the number of events per column at parton level in the full phase space.

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Figure 1-a:
Comparison between the $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) at particle and parton level, extracted from the POWHEG+PYTHIA8 simulation. Left : fraction of parton-level top quarks in the same bin at particle level (purity), fraction of particle-level top quarks in the same bin at parton level (stability), ratio of the number of particle- to parton-level top quarks, and fraction of events with a particle-level top quark pair that are not considered as signal events at parton level. Right : bin migrations between particle and parton level. The $ {p_{\mathrm {T}}} $ range of the bins can be taken from the left panel. Each column is normalized to the number of events per column at parton level in the full phase space.

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Figure 1-b:
Comparison between the $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) at particle and parton level, extracted from the POWHEG+PYTHIA8 simulation. Left : fraction of parton-level top quarks in the same bin at particle level (purity), fraction of particle-level top quarks in the same bin at parton level (stability), ratio of the number of particle- to parton-level top quarks, and fraction of events with a particle-level top quark pair that are not considered as signal events at parton level. Right : bin migrations between particle and parton level. The $ {p_{\mathrm {T}}} $ range of the bins can be taken from the left panel. Each column is normalized to the number of events per column at parton level in the full phase space.

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Figure 2:
Top: normalized two-dimensional mass distribution of the correctly reconstructed hadronically decaying W bosons $M(\mathrm{W})$ and the correctly reconstructed top quarks $M({\mathrm{t} _\mathrm {h}})$ for the parton- (left) and the particle- (right) level measurements. The predictions of the other contributions are taken from the simulation. Bottom: normalized distributions of the distance $ {D_{\nu,\text {min}}} $ for correctly and wrongly selected b jets from the leptonically decaying top quarks. The distributions are taken from the POWHEG+PYTHIA8 $ {\mathrm{t} \mathrm{\bar{t}}} $ simulation.

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Figure 2-a:
Top: normalized two-dimensional mass distribution of the correctly reconstructed hadronically decaying W bosons $M(\mathrm{W})$ and the correctly reconstructed top quarks $M({\mathrm{t} _\mathrm {h}})$ for the parton- (left) and the particle- (right) level measurements. The predictions of the other contributions are taken from the simulation. Bottom: normalized distributions of the distance $ {D_{\nu,\text {min}}} $ for correctly and wrongly selected b jets from the leptonically decaying top quarks. The distributions are taken from the POWHEG+PYTHIA8 $ {\mathrm{t} \mathrm{\bar{t}}} $ simulation.

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Figure 2-b:
Top: normalized two-dimensional mass distribution of the correctly reconstructed hadronically decaying W bosons $M(\mathrm{W})$ and the correctly reconstructed top quarks $M({\mathrm{t} _\mathrm {h}})$ for the parton- (left) and the particle- (right) level measurements. The predictions of the other contributions are taken from the simulation. Bottom: normalized distributions of the distance $ {D_{\nu,\text {min}}} $ for correctly and wrongly selected b jets from the leptonically decaying top quarks. The distributions are taken from the POWHEG+PYTHIA8 $ {\mathrm{t} \mathrm{\bar{t}}} $ simulation.

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Figure 2-c:
Top: normalized two-dimensional mass distribution of the correctly reconstructed hadronically decaying W bosons $M(\mathrm{W})$ and the correctly reconstructed top quarks $M({\mathrm{t} _\mathrm {h}})$ for the parton- (left) and the particle- (right) level measurements. The predictions of the other contributions are taken from the simulation. Bottom: normalized distributions of the distance $ {D_{\nu,\text {min}}} $ for correctly and wrongly selected b jets from the leptonically decaying top quarks. The distributions are taken from the POWHEG+PYTHIA8 $ {\mathrm{t} \mathrm{\bar{t}}} $ simulation.

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Figure 2-d:
Top: normalized two-dimensional mass distribution of the correctly reconstructed hadronically decaying W bosons $M(\mathrm{W})$ and the correctly reconstructed top quarks $M({\mathrm{t} _\mathrm {h}})$ for the parton- (left) and the particle- (right) level measurements. The predictions of the other contributions are taken from the simulation. Bottom: normalized distributions of the distance $ {D_{\nu,\text {min}}} $ for correctly and wrongly selected b jets from the leptonically decaying top quarks. The distributions are taken from the POWHEG+PYTHIA8 $ {\mathrm{t} \mathrm{\bar{t}}} $ simulation.

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Figure 3:
Reconstruction efficiency of the $ {\mathrm{t} \mathrm{\bar{t}}} $ system as a function of the number of additional jets for the parton- (left) and particle- (right) level measurements. The efficiencies are calculated based on the simulations with POWHEG+PYTHIA8 (P8), POWHEG+HERWIG++ (H++), and MG5_aMC@NLO +PYTHIA8. The efficiencies are shown with statistical uncertainties depending on the simulation.

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Figure 3-a:
Reconstruction efficiency of the $ {\mathrm{t} \mathrm{\bar{t}}} $ system as a function of the number of additional jets for the parton- (left) and particle- (right) level measurements. The efficiencies are calculated based on the simulations with POWHEG+PYTHIA8 (P8), POWHEG+HERWIG++ (H++), and MG5_aMC@NLO +PYTHIA8. The efficiencies are shown with statistical uncertainties depending on the simulation.

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Figure 3-b:
Reconstruction efficiency of the $ {\mathrm{t} \mathrm{\bar{t}}} $ system as a function of the number of additional jets for the parton- (left) and particle- (right) level measurements. The efficiencies are calculated based on the simulations with POWHEG+PYTHIA8 (P8), POWHEG+HERWIG++ (H++), and MG5_aMC@NLO +PYTHIA8. The efficiencies are shown with statistical uncertainties depending on the simulation.

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Figure 4:
Distribution of the negative log-likelihood for the selected best permutation in the parton- (left) and the particle- (right) level measurements in data and simulations. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the sum of the expected yields are provided at the bottom of each panel.

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Figure 4-a:
Distribution of the negative log-likelihood for the selected best permutation in the parton- (left) and the particle- (right) level measurements in data and simulations. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the sum of the expected yields are provided at the bottom of each panel.

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Figure 4-b:
Distribution of the negative log-likelihood for the selected best permutation in the parton- (left) and the particle- (right) level measurements in data and simulations. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the sum of the expected yields are provided at the bottom of each panel.

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Figure 5:
Comparisons of the reconstructed distributions of the $ {p_{\mathrm {T}}} $ of jets as identified by the $ {\mathrm{t} \mathrm{\bar{t}}} $ reconstruction algorithm. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 5-a:
Comparisons of the reconstructed distributions of the $ {p_{\mathrm {T}}} $ of jets as identified by the $ {\mathrm{t} \mathrm{\bar{t}}} $ reconstruction algorithm. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 5-b:
Comparisons of the reconstructed distributions of the $ {p_{\mathrm {T}}} $ of jets as identified by the $ {\mathrm{t} \mathrm{\bar{t}}} $ reconstruction algorithm. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 5-c:
Comparisons of the reconstructed distributions of the $ {p_{\mathrm {T}}} $ of jets as identified by the $ {\mathrm{t} \mathrm{\bar{t}}} $ reconstruction algorithm. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 5-d:
Comparisons of the reconstructed distributions of the $ {p_{\mathrm {T}}} $ of jets as identified by the $ {\mathrm{t} \mathrm{\bar{t}}} $ reconstruction algorithm. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 5-e:
Comparisons of the reconstructed distributions of the $ {p_{\mathrm {T}}} $ of jets as identified by the $ {\mathrm{t} \mathrm{\bar{t}}} $ reconstruction algorithm. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 5-f:
Comparisons of the reconstructed distributions of the $ {p_{\mathrm {T}}} $ of jets as identified by the $ {\mathrm{t} \mathrm{\bar{t}}} $ reconstruction algorithm. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 5-g:
Comparisons of the reconstructed distributions of the $ {p_{\mathrm {T}}} $ of jets as identified by the $ {\mathrm{t} \mathrm{\bar{t}}} $ reconstruction algorithm. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 5-h:
Comparisons of the reconstructed distributions of the $ {p_{\mathrm {T}}} $ of jets as identified by the $ {\mathrm{t} \mathrm{\bar{t}}} $ reconstruction algorithm. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 6:
Comparisons of the reconstructed $ {p_{\mathrm {T}}} $ (top) and $ {< y >}$ (bottom) in data and simulations for the parton (left) and the particle (right) level. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 6-a:
Comparisons of the reconstructed $ {p_{\mathrm {T}}} $ (top) and $ {< y >}$ (bottom) in data and simulations for the parton (left) and the particle (right) level. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 6-b:
Comparisons of the reconstructed $ {p_{\mathrm {T}}} $ (top) and $ {< y >}$ (bottom) in data and simulations for the parton (left) and the particle (right) level. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 6-c:
Comparisons of the reconstructed $ {p_{\mathrm {T}}} $ (top) and $ {< y >}$ (bottom) in data and simulations for the parton (left) and the particle (right) level. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 6-d:
Comparisons of the reconstructed $ {p_{\mathrm {T}}} $ (top) and $ {< y >}$ (bottom) in data and simulations for the parton (left) and the particle (right) level. The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 7:
Comparisons of the reconstructed distributions of $ {p_{\mathrm {T}}} $ ($ {\mathrm{t} \mathrm{\bar{t}}} $) (top) and $M({\mathrm{t} \mathrm{\bar{t}}})$ (middle) for the parton- (left) and the particle- (right) level measurements in data and simulations. Bottom: distributions of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ (left) and the number of additional jets (right). The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 7-a:
Comparisons of the reconstructed distributions of $ {p_{\mathrm {T}}} $ ($ {\mathrm{t} \mathrm{\bar{t}}} $) (top) and $M({\mathrm{t} \mathrm{\bar{t}}})$ (middle) for the parton- (left) and the particle- (right) level measurements in data and simulations. Bottom: distributions of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ (left) and the number of additional jets (right). The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 7-b:
Comparisons of the reconstructed distributions of $ {p_{\mathrm {T}}} $ ($ {\mathrm{t} \mathrm{\bar{t}}} $) (top) and $M({\mathrm{t} \mathrm{\bar{t}}})$ (middle) for the parton- (left) and the particle- (right) level measurements in data and simulations. Bottom: distributions of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ (left) and the number of additional jets (right). The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 7-c:
Comparisons of the reconstructed distributions of $ {p_{\mathrm {T}}} $ ($ {\mathrm{t} \mathrm{\bar{t}}} $) (top) and $M({\mathrm{t} \mathrm{\bar{t}}})$ (middle) for the parton- (left) and the particle- (right) level measurements in data and simulations. Bottom: distributions of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ (left) and the number of additional jets (right). The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 7-d:
Comparisons of the reconstructed distributions of $ {p_{\mathrm {T}}} $ ($ {\mathrm{t} \mathrm{\bar{t}}} $) (top) and $M({\mathrm{t} \mathrm{\bar{t}}})$ (middle) for the parton- (left) and the particle- (right) level measurements in data and simulations. Bottom: distributions of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ (left) and the number of additional jets (right). The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 7-e:
Comparisons of the reconstructed distributions of $ {p_{\mathrm {T}}} $ ($ {\mathrm{t} \mathrm{\bar{t}}} $) (top) and $M({\mathrm{t} \mathrm{\bar{t}}})$ (middle) for the parton- (left) and the particle- (right) level measurements in data and simulations. Bottom: distributions of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ (left) and the number of additional jets (right). The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 7-f:
Comparisons of the reconstructed distributions of $ {p_{\mathrm {T}}} $ ($ {\mathrm{t} \mathrm{\bar{t}}} $) (top) and $M({\mathrm{t} \mathrm{\bar{t}}})$ (middle) for the parton- (left) and the particle- (right) level measurements in data and simulations. Bottom: distributions of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ (left) and the number of additional jets (right). The simulation of POWHEG+PYTHIA8 is used to describe the $ {\mathrm{t} \mathrm{\bar{t}}} $ production. The contribution of multijet, DY, and W boson events is extracted from the data (cf. Section 7). Experimental (cf. Section 9) and statistical uncertainties (hatched area) are shown for the total simulated yield, which is normalized according to the measured integrated luminosity of the data. The data points are shown with statistical uncertainties. The ratios of data to the expected yields are given at the bottom of each panel.

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Figure 8:
Migration studies of the parton (top) and particle (bottom) level measurements of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$), extracted from the POWHEG+PYTHIA8 simulation. Left : purity, stability, and efficiency per bin. Right : bin migrations between detector and parton (particle) level. The $ {p_{\mathrm {T}}} $ range of the bins can be taken from the left panels. Each column is normalized to the number of events per column at parton (particle) level in the finally measured phase space.

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Figure 8-a:
Migration studies of the parton (top) and particle (bottom) level measurements of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$), extracted from the POWHEG+PYTHIA8 simulation. Left : purity, stability, and efficiency per bin. Right : bin migrations between detector and parton (particle) level. The $ {p_{\mathrm {T}}} $ range of the bins can be taken from the left panels. Each column is normalized to the number of events per column at parton (particle) level in the finally measured phase space.

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Figure 8-b:
Migration studies of the parton (top) and particle (bottom) level measurements of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$), extracted from the POWHEG+PYTHIA8 simulation. Left : purity, stability, and efficiency per bin. Right : bin migrations between detector and parton (particle) level. The $ {p_{\mathrm {T}}} $ range of the bins can be taken from the left panels. Each column is normalized to the number of events per column at parton (particle) level in the finally measured phase space.

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Figure 8-c:
Migration studies of the parton (top) and particle (bottom) level measurements of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$), extracted from the POWHEG+PYTHIA8 simulation. Left : purity, stability, and efficiency per bin. Right : bin migrations between detector and parton (particle) level. The $ {p_{\mathrm {T}}} $ range of the bins can be taken from the left panels. Each column is normalized to the number of events per column at parton (particle) level in the finally measured phase space.

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Figure 8-d:
Migration studies of the parton (top) and particle (bottom) level measurements of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$), extracted from the POWHEG+PYTHIA8 simulation. Left : purity, stability, and efficiency per bin. Right : bin migrations between detector and parton (particle) level. The $ {p_{\mathrm {T}}} $ range of the bins can be taken from the left panels. Each column is normalized to the number of events per column at parton (particle) level in the finally measured phase space.

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Figure 9:
Migration matrices of the particle level measurement of the jet $ {p_{\mathrm {T}}} $ spectra, extracted from the POWHEG+PYTHIA8 simulation. Left : purity, stability, and efficiency per bin. Right : bin migrations between detector and particle level. On the axes the $ {p_{\mathrm {T}}} $ bins for each jet are shown. Each column is normalized to the number of events per column at particle level.

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Figure 9-a:
Migration matrices of the particle level measurement of the jet $ {p_{\mathrm {T}}} $ spectra, extracted from the POWHEG+PYTHIA8 simulation. Left : purity, stability, and efficiency per bin. Right : bin migrations between detector and particle level. On the axes the $ {p_{\mathrm {T}}} $ bins for each jet are shown. Each column is normalized to the number of events per column at particle level.

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Figure 9-b:
Migration matrices of the particle level measurement of the jet $ {p_{\mathrm {T}}} $ spectra, extracted from the POWHEG+PYTHIA8 simulation. Left : purity, stability, and efficiency per bin. Right : bin migrations between detector and particle level. On the axes the $ {p_{\mathrm {T}}} $ bins for each jet are shown. Each column is normalized to the number of events per column at particle level.

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Figure 10:
Relative uncertainties due to the individual sources in the measurement of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) at parton level (left) and particle level (right). Sources of a maximum uncertainty below 0.5% are summarized in the category "Others''. The combination of the individual sources of jet energy uncertainty is labeled "Jet energy''. The combined uncertainty considers all systematic uncertainties.

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Figure 10-a:
Relative uncertainties due to the individual sources in the measurement of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) at parton level (left) and particle level (right). Sources of a maximum uncertainty below 0.5% are summarized in the category "Others''. The combination of the individual sources of jet energy uncertainty is labeled "Jet energy''. The combined uncertainty considers all systematic uncertainties.

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Figure 10-b:
Relative uncertainties due to the individual sources in the measurement of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) at parton level (left) and particle level (right). Sources of a maximum uncertainty below 0.5% are summarized in the category "Others''. The combination of the individual sources of jet energy uncertainty is labeled "Jet energy''. The combined uncertainty considers all systematic uncertainties.

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Figure 11:
Differential cross sections at parton level as a function of the top quark with the higher and lower $ {p_{\mathrm {T}}} $ (top), $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) and $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\ell}$) (middle), and $ {< y({\mathrm{t} _\mathrm {h}}) >}$ and $ {< y({\mathrm{t} _\ell}) >}$ (bottom). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 11-a:
Differential cross sections at parton level as a function of the top quark with the higher and lower $ {p_{\mathrm {T}}} $ (top), $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) and $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\ell}$) (middle), and $ {< y({\mathrm{t} _\mathrm {h}}) >}$ and $ {< y({\mathrm{t} _\ell}) >}$ (bottom). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 11-b:
Differential cross sections at parton level as a function of the top quark with the higher and lower $ {p_{\mathrm {T}}} $ (top), $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) and $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\ell}$) (middle), and $ {< y({\mathrm{t} _\mathrm {h}}) >}$ and $ {< y({\mathrm{t} _\ell}) >}$ (bottom). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 11-c:
Differential cross sections at parton level as a function of the top quark with the higher and lower $ {p_{\mathrm {T}}} $ (top), $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) and $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\ell}$) (middle), and $ {< y({\mathrm{t} _\mathrm {h}}) >}$ and $ {< y({\mathrm{t} _\ell}) >}$ (bottom). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 11-d:
Differential cross sections at parton level as a function of the top quark with the higher and lower $ {p_{\mathrm {T}}} $ (top), $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) and $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\ell}$) (middle), and $ {< y({\mathrm{t} _\mathrm {h}}) >}$ and $ {< y({\mathrm{t} _\ell}) >}$ (bottom). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 11-e:
Differential cross sections at parton level as a function of the top quark with the higher and lower $ {p_{\mathrm {T}}} $ (top), $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) and $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\ell}$) (middle), and $ {< y({\mathrm{t} _\mathrm {h}}) >}$ and $ {< y({\mathrm{t} _\ell}) >}$ (bottom). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 11-f:
Differential cross sections at parton level as a function of the top quark with the higher and lower $ {p_{\mathrm {T}}} $ (top), $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) and $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\ell}$) (middle), and $ {< y({\mathrm{t} _\mathrm {h}}) >}$ and $ {< y({\mathrm{t} _\ell}) >}$ (bottom). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 12:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ ($\mathrm{t}$) (top) and $ {< y(\mathrm{t}) >}$ (bottom) measured separately for the hadronically (left) and leptonically (right) decaying particle-level top quarks. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 12-a:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ ($\mathrm{t}$) (top) and $ {< y(\mathrm{t}) >}$ (bottom) measured separately for the hadronically (left) and leptonically (right) decaying particle-level top quarks. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 12-b:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ ($\mathrm{t}$) (top) and $ {< y(\mathrm{t}) >}$ (bottom) measured separately for the hadronically (left) and leptonically (right) decaying particle-level top quarks. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 12-c:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ ($\mathrm{t}$) (top) and $ {< y(\mathrm{t}) >}$ (bottom) measured separately for the hadronically (left) and leptonically (right) decaying particle-level top quarks. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 12-d:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ ($\mathrm{t}$) (top) and $ {< y(\mathrm{t}) >}$ (bottom) measured separately for the hadronically (left) and leptonically (right) decaying particle-level top quarks. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 13:
Differential cross sections at parton level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$), $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$, and $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 13-a:
Differential cross sections at parton level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$), $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$, and $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 13-b:
Differential cross sections at parton level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$), $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$, and $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 13-c:
Differential cross sections at parton level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$), $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$, and $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx, and the NNLO QCD+NLO EW calculations. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 14:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$), $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$, and $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 14-a:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$), $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$, and $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 14-b:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$), $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$, and $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 14-c:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$), $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$, and $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the various predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 15:
Double-differential cross section at parton level as a function of $ {< y({\mathrm{t} _\mathrm {h}}) >}$ v.s. $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 15-a:
Double-differential cross section at parton level as a function of $ {< y({\mathrm{t} _\mathrm {h}}) >}$ v.s. $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 15-b:
Double-differential cross section at parton level as a function of $ {< y({\mathrm{t} _\mathrm {h}}) >}$ v.s. $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 15-c:
Double-differential cross section at parton level as a function of $ {< y({\mathrm{t} _\mathrm {h}}) >}$ v.s. $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 15-d:
Double-differential cross section at parton level as a function of $ {< y({\mathrm{t} _\mathrm {h}}) >}$ v.s. $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 16:
Double-differential cross section at particle level as a function of $ {< y({\mathrm{t} _\mathrm {h}}) >}$ v.s. $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 16-a:
Double-differential cross section at particle level as a function of $ {< y({\mathrm{t} _\mathrm {h}}) >}$ v.s. $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 16-b:
Double-differential cross section at particle level as a function of $ {< y({\mathrm{t} _\mathrm {h}}) >}$ v.s. $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 16-c:
Double-differential cross section at particle level as a function of $ {< y({\mathrm{t} _\mathrm {h}}) >}$ v.s. $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 16-d:
Double-differential cross section at particle level as a function of $ {< y({\mathrm{t} _\mathrm {h}}) >}$ v.s. $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$). The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 17:
Double-differential cross section at parton level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ v.s. $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 17-a:
Double-differential cross section at parton level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ v.s. $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 17-b:
Double-differential cross section at parton level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ v.s. $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 17-c:
Double-differential cross section at parton level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ v.s. $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 17-d:
Double-differential cross section at parton level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ v.s. $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 18:
Double-differential cross section at particle level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ v.s. $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 18-a:
Double-differential cross section at particle level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ v.s. $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 18-b:
Double-differential cross section at particle level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ v.s. $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 18-c:
Double-differential cross section at particle level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ v.s. $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 18-d:
Double-differential cross section at particle level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ v.s. $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 19:
Double-differential cross section at parton level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) v.s. $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 19-a:
Double-differential cross section at parton level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) v.s. $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 19-b:
Double-differential cross section at parton level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) v.s. $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 19-c:
Double-differential cross section at parton level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) v.s. $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 19-d:
Double-differential cross section at parton level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) v.s. $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulation MG5_aMC@NLO (MG5)+PYTHIA8 FxFx. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 20:
Double-differential cross section at particle level as a function of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ v.s. $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 20-a:
Double-differential cross section at particle level as a function of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ v.s. $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 20-b:
Double-differential cross section at particle level as a function of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ v.s. $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 20-c:
Double-differential cross section at particle level as a function of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ v.s. $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 20-d:
Double-differential cross section at particle level as a function of $ {< y({\mathrm{t} \mathrm{\bar{t}}}) >}$ v.s. $M({\mathrm{t} \mathrm{\bar{t}}})$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 21:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 21-a:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 21-b:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 21-c:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 21-d:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} _\mathrm {h}}$) in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 22:
Differential cross sections at particle level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 22-a:
Differential cross sections at particle level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 22-b:
Differential cross sections at particle level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 22-c:
Differential cross sections at particle level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 22-d:
Differential cross sections at particle level as a function of $M({\mathrm{t} \mathrm{\bar{t}}})$ in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 23:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$) in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 23-a:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$) in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 23-b:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$) in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 23-c:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$) in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 23-d:
Differential cross sections at particle level as a function of $ {p_{\mathrm {T}}} $ (${\mathrm{t} \mathrm{\bar{t}}}$) in bins of the number of additional jets. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 24:
Differential cross section at particle level as a function of jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 24-a:
Differential cross section at particle level as a function of jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 24-b:
Differential cross section at particle level as a function of jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 24-c:
Differential cross section at particle level as a function of jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 24-d:
Differential cross section at particle level as a function of jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 24-e:
Differential cross section at particle level as a function of jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 24-f:
Differential cross section at particle level as a function of jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 24-g:
Differential cross section at particle level as a function of jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 24-h:
Differential cross section at particle level as a function of jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 25:
Top: jet multiplicity. Middle, Bottom: jet multiplicities for various thresholds of the jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 25-a:
Top: jet multiplicity. Middle, Bottom: jet multiplicities for various thresholds of the jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 25-b:
Top: jet multiplicity. Middle, Bottom: jet multiplicities for various thresholds of the jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 25-c:
Top: jet multiplicity. Middle, Bottom: jet multiplicities for various thresholds of the jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 25-d:
Top: jet multiplicity. Middle, Bottom: jet multiplicities for various thresholds of the jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 25-e:
Top: jet multiplicity. Middle, Bottom: jet multiplicities for various thresholds of the jet $ {p_{\mathrm {T}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 26:
Distributions of $f_1( {p_{\mathrm {T}}} )$ and $f_2( {p_{\mathrm {T}}} )$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The measurements are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 26-a:
Distributions of $f_1( {p_{\mathrm {T}}} )$ and $f_2( {p_{\mathrm {T}}} )$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The measurements are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 26-b:
Distributions of $f_1( {p_{\mathrm {T}}} )$ and $f_2( {p_{\mathrm {T}}} )$. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The measurements are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 27:
Differential cross section at particle level as a function of jet $ \eta $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 27-a:
Differential cross section at particle level as a function of jet $ \eta $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 27-b:
Differential cross section at particle level as a function of jet $ \eta $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 27-c:
Differential cross section at particle level as a function of jet $ \eta $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 27-d:
Differential cross section at particle level as a function of jet $ \eta $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 27-e:
Differential cross section at particle level as a function of jet $ \eta $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 27-f:
Differential cross section at particle level as a function of jet $ \eta $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 27-g:
Differential cross section at particle level as a function of jet $ \eta $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 27-h:
Differential cross section at particle level as a function of jet $ \eta $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 28:
Differential cross section at particle level as a function of jet $ {\Delta R_{\mathrm {j}_\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 28-a:
Differential cross section at particle level as a function of jet $ {\Delta R_{\mathrm {j}_\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 28-b:
Differential cross section at particle level as a function of jet $ {\Delta R_{\mathrm {j}_\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 28-c:
Differential cross section at particle level as a function of jet $ {\Delta R_{\mathrm {j}_\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 28-d:
Differential cross section at particle level as a function of jet $ {\Delta R_{\mathrm {j}_\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 28-e:
Differential cross section at particle level as a function of jet $ {\Delta R_{\mathrm {j}_\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 28-f:
Differential cross section at particle level as a function of jet $ {\Delta R_{\mathrm {j}_\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

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Figure 28-g:
Differential cross section at particle level as a function of jet $ {\Delta R_{\mathrm {j}_\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

png pdf
Figure 28-h:
Differential cross section at particle level as a function of jet $ {\Delta R_{\mathrm {j}_\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

png pdf
Figure 29:
Differential cross section at particle level as a function of $n{\Delta R_{\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

png pdf
Figure 29-a:
Differential cross section at particle level as a function of $n{\Delta R_{\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

png pdf
Figure 29-b:
Differential cross section at particle level as a function of $n{\Delta R_{\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

png pdf
Figure 29-c:
Differential cross section at particle level as a function of $n{\Delta R_{\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

png pdf
Figure 29-d:
Differential cross section at particle level as a function of $n{\Delta R_{\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

png pdf
Figure 29-e:
Differential cross section at particle level as a function of $n{\Delta R_{\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

png pdf
Figure 29-f:
Differential cross section at particle level as a function of $n{\Delta R_{\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

png pdf
Figure 29-g:
Differential cross section at particle level as a function of $n{\Delta R_{\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.

png pdf
Figure 29-h:
Differential cross section at particle level as a function of $n{\Delta R_{\mathrm{t}}} $. The data are shown as points with light (dark) error bands indicating the statistical (statistical and systematic) uncertainties. The cross sections are compared to the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations MG5_aMC@NLO (MG5)+PYTHIA8 FxFx and {sherpa}. The ratios of the predictions to the measured cross sections are shown at the bottom of each panel.
Tables

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Table 1:
Comparison between the measured distributions at parton level and the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++), the multiparton simulation MG5_aMC@NLO FxFx, and the NNLO QCD+NLO EW calculations. The compatibility with the POWHEG+PYTHIA8 prediction is also calculated under consideration of its theoretical uncertainties (with unc.), while those are not taken into account for the other comparisons. The results of the $\chi ^2$ tests are listed together with the numbers of degrees of freedom (dof) and the corresponding p-values.

png pdf
Table 2:
Comparison between the measured distributions at particle level and the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations of MG5_aMC@NLO FxFx and {sherpa}. The compatibilities with the POWHEG+PYTHIA8 and the {sherpa} predictions are also calculated under consideration of their theoretical uncertainties (with unc.), while those are not taken into account for the other comparisons. The results of the $\chi ^2$ tests are listed together with the numbers of degrees of freedom (dof) and the corresponding p-values.

png pdf
Table 3:
Comparison between the measurements involving multiplicities and kinematic properties of jets and the predictions of POWHEG combined with PYTHIA8 (P8) or HERWIG++ (H++) and the multiparton simulations of MG5_aMC@NLO FxFx and {sherpa}. The compatibilities with the POWHEG+PYTHIA8 and the {sherpa} predictions are also calculated under consideration of their theoretical uncertainties (with unc.), while those are not taken into account for the other comparisons. The results of the $\chi ^2$ tests are listed together with the numbers of degrees of freedom (dof) and the corresponding p-values.
Summary
Measurements of the differential and double-differential cross sections for $\mathrm{t\bar{t}}$ production in pp collisions at 13 TeV have been presented. The data correspond to an integrated luminosity of 35.8 fb$^{-1}$ recorded by the CMS experiment. The $\mathrm{t\bar{t}}$ production cross section is measured in the $\ell$+jets channels at particle and parton level channel as a function of transverse momentum $ {p_{\mathrm{T}}} $ and rapidity $| {y} |$ of the top quarks; $ {p_{\mathrm{T}}} $, $| {y} | $, and invariant mass of the $ \mathrm{t\bar{t}} $ system. In addition, at particle level detailed studies of multiplicities and kinematic properties of the jets in $ \mathrm{t\bar{t}} $ events have been performed. The dominant sources of uncertainty are the jet energy scale uncertainties on the experimental side and parton shower modeling on the theoretical side.

The results are compared to several standard model predictions that use different methods and approximations for their calculations. The kinematic properties of the top quarks and the $ \mathrm{t\bar{t}} $ system are well described apart from a softer measured $ {p_{\mathrm{T}}} $ of the top quarks, which has already been observed in previous measurements and can partially be explained by calculations including NNLO QCD and NLO EW corrections. The kinematic distributions and multiplicities of the additional jets are reasonably modeled by POWHEG+PYTHIA. However, the POWHEG descriptions of additional jets rely on phenomenological models of parton showering and hadronization with tuned parameters. With the selected settings the SHERPA predictions show larger discrepancies from the data, but they strongly depend on the choice of scales. The multiparton simulation of MG5_aMC@NLO+PYTHIAA FxFx results in the best agreement with the measurements.
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