Measurement of differential cross sections for the production of top quark pairs and of additional jets in $\mathrm{lepton}+\text{jets}$ events from $pp$ collisions at $\sqrt{s}=13\text{ }\text{ }\mathrm{TeV}$

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Measurement of differential cross sections for the production of top quark pairs and of additional jets in $lepton + jets$ events from $p p$ collisions at $\sqrt{s} = 13 TeV$

A. M. Sirunyan et al. (CMS Collaboration)

Phys. Rev. D 97, 112003 – Published 15 June 2018

Abstract

Differential and double-differential cross sections for the production of top quark pairs in proton-proton collisions at $\sqrt{s} = 13 TeV$ are measured as a function of kinematic variables of the top quarks and the top quark-antiquark ( $t \bar{t}$ ) system. In addition, kinematic variables and multiplicities of jets associated with the $t \bar{t}$ production 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 the particle level, within a phase space close to the experimental acceptance, and at the parton level in the full phase space. The results are compared to several standard model predictions that use different methods and approximations. The kinematic variables of the top quarks and the $t \bar{t}$ system are reasonably described in general, though none predict all the measured distributions. In particular, the transverse momentum distribution of the top quarks is more steeply falling than predicted. The kinematic distributions and multiplicities of jets are adequately modeled by certain combinations of next-to-leading-order calculations and parton shower models.

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Received 23 March 2018

DOI:https://doi.org/10.1103/PhysRevD.97.112003

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Physics Subject Headings (PhySH)

Particle production

Particles & Fields

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Vol. 97, Iss. 11 — 1 June 2018

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Figure 1
Comparison between the $p_{T} (t_{h})$ distributions at the particle and parton level, extracted from the powheg+pythia8 simulation. Left: fraction of parton-level top quarks in the same $p_{T}$ bin at the particle level (purity), fraction of particle-level top quarks in the same $p_{T}$ bin at the parton level (stability), ratio of the number of particle- to parton-level top quarks (bin efficiency), and fraction of events with a particle-level top quark pair that are not considered as signal events at the parton level (non-parton-level signal). Right: $p_{T}$ -bin migrations between particle and parton level. The $p_{T}$ range of the bins can be taken from the left panel. Each column is normalized such that the sum of its entries corresponds to the fraction of particle-level events in this bin at the parton level in the full phase space.
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Figure 2
Upper: normalized two-dimensional mass distribution of the correctly reconstructed hadronically decaying $W$ bosons $M (W)$ and the correctly reconstructed top quarks $M (t_{h})$ for the (left) parton- and the (right) particle-level measurements. Lower: normalized distributions of the distance $D_{ν, \min}$ for correctly and incorrectly selected $b$ jets from the leptonically decaying top quarks. The distributions are taken from the powheg+pythia8 $t \bar{t}$ simulation.
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Figure 3
Reconstruction efficiency of the $t \bar{t}$ system as a function of the number of additional jets for the (left) parton- and (right) particle-level measurements. The efficiencies are calculated based on the simulations with powheg+pythia8 (P8) with scale variations up and down of the final-state PS, powheg+herwig++ (H++), and mg5_amc@nlo+pythia8. The vertical bars represent the statistical uncertainties in each simulation.
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Figure 4
Distribution of the negative log-likelihood for the selected best permutation in the (left) parton- and the (right) particle-level measurements in data and simulations. Events generated with powheg+pythia8 are used to describe the $t \bar{t}$ production. The contribution of multijet, DY, and $W$ boson plus jets background events is extracted from the data (cf. Sec. 7). Combined experimental (cf. Sec. 9) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the sum of the predicted yields are provided at the bottom of each panel.
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Figure 5
Comparisons between data and simulation at the particle level of the reconstructed distributions of the $p_{T}$ of jets as identified by the $t \bar{t}$ reconstruction algorithm. The simulation of powheg+pythia8 is used to describe the $t \bar{t}$ production. The contribution of multijet, DY, and $W$ boson plus jets background events is extracted from the data (cf. Sec. 7). Combined experimental (cf. Sec. 9) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the predicted yields are given at the bottom of each panel.
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Figure 6
Comparisons of the reconstructed $p_{T}$ (upper) and $| y |$ (lower) in data and simulations for the $t_{ℓ}$ (left) at the parton level and the $t_{h}$ (right) at the particle level. The simulation of powheg+pythia8 is used to describe the $t \bar{t}$ production. The contribution of multijet, DY, and $W$ boson plus jets background events is extracted from the data (cf. Sec. 7). Combined experimental (cf. Sec. 9) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the predicted yields are given at the bottom of each panel.
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Figure 7
Comparisons of the reconstructed distributions of $p_{T} (t \bar{t})$ (upper), $| y (t \bar{t}) |$ (middle), and $M (t \bar{t})$ (lower) for the (left) parton- and the (right) particle-level measurements in data and simulation. The simulation of powheg+pythia8 is used to describe the $t \bar{t}$ production. The contribution of multijet, DY, and $W$ boson plus jets background events is extracted from the data (cf. Sec. 7). Combined experimental (cf. Sec. 9) and statistical uncertainties (hatched area) are shown for the total predicted yields. The data points are shown with statistical uncertainties. The ratios of data to the predicted yields are given at the bottom of each panel.
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Figure 8
Migration studies of the (upper) parton- and (lower) particle-level measurements of $p_{T} (t_{h})$ , extracted from the powheg+pythia8 simulation. Left: purity, stability, and bin efficiency. Right: bin migrations between detector and parton (particle) level. The $p_{T}$ range of the bins can be taken from the left panels. Each column is normalized such that the sum of its entries corresponds to the percentage of reconstructed events in this bin at the parton (particle) level.
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Figure 9
Migration studies of the particle-level measurement of the jet $p_{T}$ spectra, extracted from the powheg+pythia8 simulation. Left: purity, stability, and bin efficiency. Right: bin migrations between detector and particle level. On the axes the $p_{T}$ bins for each jet are shown. Each column is normalized in the way that the sum of its entries corresponds to the percentage of reconstructed events in this bin at the particle level.
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Figure 10
Relative uncertainties due to the individual sources in the absolute (upper) and normalized (lower) measurement of $p_{T} (t_{h})$ at the parton level (left) and particle level (right). Sources whose impact never exceeds 1% are summarized in the category “Others.” The combination of the individual sources of jet energy uncertainty is labeled “Jet energy.” The combined uncertainty is the sum in quadrature of the statistical and all the systematic uncertainties.
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Figure 11
Absolute (left) and normalized (right) differential cross sections at the parton level as a function of $p_{T} (t_{h})$ (upper) and $p_{T} (t_{ℓ})$ (lower). The data are shown as points with light (dark) 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
Absolute (left) and normalized (right) differential cross sections at the parton level as a function of $| y (t_{h}) |$ (upper) and $| y (t_{ℓ}) |$ (lower). The data are shown as points with light (dark) 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 13
Absolute (left) and normalized (right) differential cross sections at the particle level as a function of $p_{T} (t_{h})$ (upper) and $p_{T} (t_{ℓ})$ (lower). The data are shown as points with light (dark) 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
Absolute (left) and normalized (right) differential cross sections at the particle level as a function of $| y (t_{h}) |$ (upper) and $| y (t_{ℓ}) |$ (lower). The data are shown as points with light (dark) 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
Absolute (left) and normalized (right) differential cross sections at the parton level as a function of the transverse momentum of the top quark with the higher and lower $p_{T}$ . The data are shown as points with light (dark) bands indicating the statistical (statistical and systematic) uncertainties. The data are shown as points with light (dark) 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 various predictions to the measured cross sections are shown at the bottom of each panel.
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Figure 16
Absolute (left) and normalized (right) differential cross sections at the parton level as a function of $p_{T} (t \bar{t})$ (upper), $| y (t \bar{t}) |$ (middle), and $M (t \bar{t})$ (lower). The data are shown as points with light (dark) 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 17
Absolute (left) and normalized (right) differential cross sections at the particle level as a function of $p_{T} (t \bar{t})$ (upper), $| y (t \bar{t}) |$ (middle), and $M (t \bar{t})$ (lower). The data are shown as points with light (dark) 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 18
Double-differential cross section at the parton level as a function of $| y (t_{h}) |$ vs. $p_{T} (t_{h})$ . The data are shown as points with light (dark) 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 various predictions to the measured cross sections are shown at the bottom of each panel.
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Figure 19
Normalized double-differential cross section at the parton level as a function of $| y (t_{h}) |$ vs. $p_{T} (t_{h})$ . The data are shown as points with light (dark) 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 various 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 the particle level as a function of $| y (t_{h}) |$ vs. $p_{T} (t_{h})$ . The data are shown as points with light (dark) 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 21
Normalized double-differential cross section at the particle level as a function of $| y (t_{h}) |$ vs. $p_{T} (t_{h})$ . The data are shown as points with light (dark) 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 22
Double-differential cross section at the parton level as a function of $M (t \bar{t})$ vs. $| y (t \bar{t}) |$ . The data are shown as points with light (dark) 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 various predictions to the measured cross sections are shown at the bottom of each panel.
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Figure 23
Normalized double-differential cross section at the parton level as a function of $M (t \bar{t})$ vs. $| y (t \bar{t}) |$ . The data are shown as points with light (dark) 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 various predictions to the measured cross sections are shown at the bottom of each panel.
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Figure 24
Double-differential cross section at the particle level as a function of $M (t \bar{t})$ vs. $| y (t \bar{t}) |$ . The data are shown as points with light (dark) 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 25
Normalized double-differential cross section at the particle level as a function of $M (t \bar{t})$ vs. $| y (t \bar{t}) |$ . The data are shown as points with light (dark) 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 26
Double-differential cross section at the parton level as a function of $p_{T} (t_{h})$ vs. $M (t \bar{t})$ . The data are shown as points with light (dark) 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 various predictions to the measured cross sections are shown at the bottom of each panel.
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Figure 27
Normalized double-differential cross section at the parton level as a function of $p_{T} (t_{h})$ vs. $M (t \bar{t})$ . The data are shown as points with light (dark) 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 various predictions to the measured cross sections are shown at the bottom of each panel.
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Figure 28
Double-differential cross section at the particle level as a function of $p_{T} (t_{h})$ vs. $M (t \bar{t})$ . The data are shown as points with light (dark) 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 29
Normalized double-differential cross section at the particle level as a function of $p_{T} (t_{h})$ vs. $M (t \bar{t})$ . The data are shown as points with light (dark) 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 30
Differential cross sections at the particle level as a function of $p_{T} (t_{h})$ in bins of the number of additional jets. The data are shown as points with light (dark) 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 31
Differential cross sections at the particle level normalized to the sum of the cross sections $σ_{norm}$ in the measured ranges as a function of $p_{T} (t_{h})$ in bins of the number of additional jets. The data are shown as points with light (dark) 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 32
Differential cross sections at the particle level as a function of $M (t \bar{t})$ in bins of the number of additional jets. The data are shown as points with light (dark) 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 33
Differential cross sections at the particle level normalized to the sum of the cross sections $σ_{norm}$ in the measured ranges as a function of $M (t \bar{t})$ in bins of the number of additional jets. The data are shown as points with light (dark) 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 34
Differential cross sections at the particle level as a function of $p_{T} (t \bar{t})$ in bins of the number of additional jets. The data are shown as points with light (dark) 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 35
Differential cross sections at the particle level normalized to the sum of the cross sections $σ_{norm}$ in the measured ranges as a function of $p_{T} (t \bar{t})$ in bins of the number of additional jets. The data are shown as points with light (dark) 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 36
Differential cross section at the particle level as a function of jet $p_{T}$ . The upper two rows show the $p_{T}$ distributions for the jets in the $t \bar{t}$ system, the lower two rows the distribution for additional jets. The data are shown as points with light (dark) 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 37
Normalized differential cross section at the particle level as a function of jet $p_{T}$ . The upper two rows show the $p_{T}$ distributions for the jets in the $t \bar{t}$ system, the lower two rows the distribution for additional jets. The data are shown as points with light (dark) 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 38
Upper: absolute (left) and normalized (right) cross sections of jet multiplicities. Middle, lower: absolute cross sections of jet multiplicities for various thresholds of the jet $p_{T}$ . The data are shown as points with light (dark) 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 39
Distributions of the gap fractions $f_{1} (p_{T})$ and $f_{2} (p_{T})$ . The data are shown as points with light (dark) 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 40
Differential cross section at the particle level as a function of jet $| η |$ . The upper two rows show the $| η |$ distributions for the jets in the $t \bar{t}$ system, the lower two rows the distributions for additional jets. The data are shown as points with light (dark) 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 41
Normalized differential cross section at the particle level as a function of jet $| η |$ . The upper two rows show the $| η |$ distributions for the jets in the $t \bar{t}$ system, the lower two rows the distributions for additional jets. The data are shown as points with light (dark) 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 42
Differential cross section at the particle level as a function of jet $Δ R_{j_{t}}$ . The upper two rows show the $Δ R_{j_{t}}$ distributions for the jets in the $t \bar{t}$ system, the lower two rows the distribution for additional jets. The data are shown as points with light (dark) 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 43
Normalized differential cross section at the particle level as a function of jet $Δ R_{j_{t}}$ . The upper two rows show the $Δ R_{j_{t}}$ distributions for the jets in the $t \bar{t}$ system, the lower two rows the distribution for additional jets. The data are shown as points with light (dark) 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 44
Differential cross section at the particle level as a function of $Δ R_{t}$ . The upper two rows show the $Δ R_{t}$ distributions for the jets in the $t \bar{t}$ system, the lower two rows the distribution for additional jets. The data are shown as points with light (dark) 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 45
Normalized differential cross section at the particle level as a function of $Δ R_{t}$ . The upper two rows show the $Δ R_{t}$ distributions for the jets in the $t \bar{t}$ system, the lower two rows the distribution for additional jets. The data are shown as points with light (dark) 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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Physical Review D

covering particles, fields, gravitation, and cosmology

Measurement of differential cross sections for the production of top quark pairs and of additional jets in $lepton + jets$ events from $p p$ collisions at $\sqrt{s} = 13 TeV$

A. M. Sirunyan et al. (CMS Collaboration)

Phys. Rev. D 97, 112003 – Published 15 June 2018

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Physical Review D

covering particles, fields, gravitation, and cosmology

Measurement of differential cross sections for the production of top quark pairs and of additional jets in lepton+jets events from pp collisions at s=13 TeV

A. M. Sirunyan et al. (CMS Collaboration)

Phys. Rev. D 97, 112003 – Published 15 June 2018

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Measurement of differential cross sections for the production of top quark pairs and of additional jets in $lepton + jets$ events from $p p$ collisions at $\sqrt{s} = 13 TeV$