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| CMS-PAS-TOP-18-002 | ||
| Measurement of the cross section for $\mathrm{t}\bar{\mathrm{t}}$ production with additional jets and b jets in proton-proton collisions at $\sqrt{s}= $ 13 TeV | ||
| CMS Collaboration | ||
| August 2019 | ||
| Abstract: The cross sections of top quark pair production in association with a pair of jets from bottom quarks ($\sigma_{\mathrm{t}\bar{\mathrm{t}}\mathrm{b}\bar{\mathrm{b}}}$) and in association with a pair of jets from quarks with any flavor or gluons ($\sigma_{\mathrm{t}\bar{\mathrm{t}}\mathrm{jj}}$) and their ratio are measured in proton-proton collisions at a center-of-mass energy of 13 TeV with data collected in 2016 by the CMS detector at the LHC, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The measurements are performed in the visible phase space in the dilepton and lepton+jets channels separately, by fitting the distribution of the b tagging discriminant variable of the two jets that do not belong to the $\mathrm{t}\bar{\mathrm{t}}$ decay. The $\mathrm{t}\bar{\mathrm{t}}\mathrm{jj}$ cross sections in the visible phase space in the dilepton and the lepton+jets channel are measured to be 2.36 $\pm$ 0.02 (stat) $\pm$ 0.20 (syst) pb and 31.0 $\pm$ 0.2 (stat) $\pm$ 2.9 (syst) pb, respectively. The measured cross section ratio in the visible phase space is 0.017 $\pm$ 0.001 (stat) $\pm$ 0.001(syst) for the dilepton channel, and 0.020 $\pm$ 0.001 (stat) $\pm$ 0.001 (syst) for the lepton+jets channel. The results extrapolated to the full phase space are compared with the standard model expectations obtained at next-to-leading order. | ||
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These preliminary results are superseded in this paper, JHEP 07 (2020) 125. The superseded preliminary plots can be found here. |
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| Figures | |
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Figure 1:
b tagging discriminant distribution for the first (left) and second (right) additional jet for the dilepton (upper) and lepton+jets channels (lower) in decreasing order of the b tagging discriminant value after the event selection. The lower panels display the ratio of the data to the expectations. Gray areas include both statistical and systematic uncertainities. |
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Figure 1-a:
b tagging discriminant distribution for the first (left) and second (right) additional jet for the dilepton (upper) and lepton+jets channels (lower) in decreasing order of the b tagging discriminant value after the event selection. The lower panels display the ratio of the data to the expectations. Gray areas include both statistical and systematic uncertainities. |
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Figure 1-b:
b tagging discriminant distribution for the first (left) and second (right) additional jet for the dilepton (upper) and lepton+jets channels (lower) in decreasing order of the b tagging discriminant value after the event selection. The lower panels display the ratio of the data to the expectations. Gray areas include both statistical and systematic uncertainities. |
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Figure 1-c:
b tagging discriminant distribution for the first (left) and second (right) additional jet for the dilepton (upper) and lepton+jets channels (lower) in decreasing order of the b tagging discriminant value after the event selection. The lower panels display the ratio of the data to the expectations. Gray areas include both statistical and systematic uncertainities. |
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Figure 1-d:
b tagging discriminant distribution for the first (left) and second (right) additional jet for the dilepton (upper) and lepton+jets channels (lower) in decreasing order of the b tagging discriminant value after the event selection. The lower panels display the ratio of the data to the expectations. Gray areas include both statistical and systematic uncertainities. |
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Figure 2:
Two-dimensional distributions of the b tagging discriminant for the first and second additional jets in the dilepton channel shown separately for different flavors of the additional jet: $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} $ (upper left), $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm {j}} $ (upper right), $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{c} \mathrm{\bar{c}}} $ (below left) and $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {LF}} $ (below right). The number of entries is normalized to unity. The histograms are obtained from MC simulation (POWHEG). |
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Figure 2-a:
Two-dimensional distributions of the b tagging discriminant for the first and second additional jets in the dilepton channel shown separately for different flavors of the additional jet: $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} $ (upper left), $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm {j}} $ (upper right), $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{c} \mathrm{\bar{c}}} $ (below left) and $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {LF}} $ (below right). The number of entries is normalized to unity. The histograms are obtained from MC simulation (POWHEG). |
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Figure 2-b:
Two-dimensional distributions of the b tagging discriminant for the first and second additional jets in the dilepton channel shown separately for different flavors of the additional jet: $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} $ (upper left), $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm {j}} $ (upper right), $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{c} \mathrm{\bar{c}}} $ (below left) and $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {LF}} $ (below right). The number of entries is normalized to unity. The histograms are obtained from MC simulation (POWHEG). |
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Figure 2-c:
Two-dimensional distributions of the b tagging discriminant for the first and second additional jets in the dilepton channel shown separately for different flavors of the additional jet: $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} $ (upper left), $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm {j}} $ (upper right), $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{c} \mathrm{\bar{c}}} $ (below left) and $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {LF}} $ (below right). The number of entries is normalized to unity. The histograms are obtained from MC simulation (POWHEG). |
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Figure 2-d:
Two-dimensional distributions of the b tagging discriminant for the first and second additional jets in the dilepton channel shown separately for different flavors of the additional jet: $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} $ (upper left), $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm {j}} $ (upper right), $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{c} \mathrm{\bar{c}}} $ (below left) and $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {LF}} $ (below right). The number of entries is normalized to unity. The histograms are obtained from MC simulation (POWHEG). |
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Figure 3:
b tagging discriminant distribution for the first (left) and the second (right) additional jet for all the $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}} $ categories in the lepton+jets channel. The number of entries in each distribution is normalized to unity. |
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Figure 3-a:
b tagging discriminant distribution for the first (left) and the second (right) additional jet for all the $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}} $ categories in the lepton+jets channel. The number of entries in each distribution is normalized to unity. |
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Figure 3-b:
b tagging discriminant distribution for the first (left) and the second (right) additional jet for all the $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}} $ categories in the lepton+jets channel. The number of entries in each distribution is normalized to unity. |
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Figure 4:
Results of the simultaneous fit for $R_{{\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} / {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}}}$ and ${\sigma _{{\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}}}}$ (denoted by the cross) in the VPS, along with its 68% and 95% CL contours, are shown for the (left) dilepton and (right) lepton+jets channels. The solid circle dot shows the prediction by POWHEG +PYTHIA 8. The uncertainties in the MC prediction are a combination of statistical, $\mu _F/\mu _R$ scale, and PDF components. |
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Figure 4-a:
Results of the simultaneous fit for $R_{{\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} / {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}}}$ and ${\sigma _{{\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}}}}$ (denoted by the cross) in the VPS, along with its 68% and 95% CL contours, are shown for the (left) dilepton and (right) lepton+jets channels. The solid circle dot shows the prediction by POWHEG +PYTHIA 8. The uncertainties in the MC prediction are a combination of statistical, $\mu _F/\mu _R$ scale, and PDF components. |
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Figure 4-b:
Results of the simultaneous fit for $R_{{\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} / {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}}}$ and ${\sigma _{{\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}}}}$ (denoted by the cross) in the VPS, along with its 68% and 95% CL contours, are shown for the (left) dilepton and (right) lepton+jets channels. The solid circle dot shows the prediction by POWHEG +PYTHIA 8. The uncertainties in the MC prediction are a combination of statistical, $\mu _F/\mu _R$ scale, and PDF components. |
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Figure 5:
Summary of the $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} $ and $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}} $ cross sections and their ratio for the dilepton channel in the FPS (requiring jet transverse momenta of $ {p_{\mathrm {T}}} > $ 30 GeV) in comparison with the theoretical predictions obtained from POWHEG and MG_aMC@NLO (5FS) interfaced with PYTHIA 8, and POWHEG interfaced with HERWIG++. All the theoretical predictions for $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}} $ and $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} $ processes are normalized to $\sigma _{{\mathrm{t} \mathrm{\bar{t}}}}^\text { NNLO} = $ 831.76 pb. The uncertainties in the MC predictions are a combination of statistical, $\mu _F/\mu _R$ scale, and PDF components. |
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Figure 6:
Summary of the $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} $ and $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}} $ cross sections and their ratio for the lepton+jets channel in the FPS (requiring jet transverse momenta of $ {p_{\mathrm {T}}} > $ 20 GeV) in comparison with the theoretical predictions obtained from POWHEG and MG_aMC@NLO (5FS) interfaced with PYTHIA 8, and POWHEG interfaced with HERWIG++. All the theoretical predictions for $ {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}} $ and $ {\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} $ processes are normalized to $\sigma _{{\mathrm{t} \mathrm{\bar{t}}}}^\text {NNLO} = $ 831.76 pb. The previous measurement performed by the CMS Collaboration [21] is also shown with a rhombus marker. The uncertainties in the MC predictions are a combination of statistical, $\mu _F/\mu _R$ scale, and PDF components. |
| Tables | |
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Table 1:
The definition of objects in the visible and full phase space are listed. Details of the particle-level definitions are described in the text. The symbol $\ell $ denotes a lepton ($\mathrm {e}$ or $ \mu $). |
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Table 2:
Expected and observed numbers of events in the dilepton and lepton+jets channel after applying the event selection. The results are given for the different ${\mathrm{t} \mathrm{\bar{t}}} $(+jets) categories, the individual sources of background (from MC simulation) normalized to a luminosity of 35.9 fb$^{-1}$, and observed in data. The uncertainties quoted for each MC contribution consider all systematic uncertainties described in Section 6. |
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Table 3:
Summary of the individual contributions to the systematic uncertainty in the $R_{{\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}} / {\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}}}$ and $ {\sigma _{{\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}}}} $ measurements for the VPS. The uncertainties are given as relative uncertainties. |
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Table 4:
The measured cross sections $ {\sigma _{{\mathrm{t} \mathrm{\bar{t}} \mathrm{b} \mathrm{\bar{b}}}}} $ and $ {\sigma _{{\mathrm{t} \mathrm{\bar{t}} \mathrm {jj}}}} $, and their ratio, for the VPS and FPS, corrected for acceptance and branching fractions. In both phase space definitions, the dilepton channel requires a jet with $ {p_{\mathrm {T}}} > $ 30 GeV, while a jet with $ {p_{\mathrm {T}}} > $ 20 GeV is considered for the lepton+jets channel. The uncertainties in the measurements are split into their statistical and systematic components, while the uncertainties in the MC predictions are a combination of statistical, $\mu _{\rm F}/\mu _{\rm R}$ scale, and PDF components. |
| Summary |
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Measurements of the ${\mathrm{t\bar{t}}\mathrm{b\bar{b}}} $ and ${\mathrm{t\bar{t}} \text{jj}} $ cross sections and their ratio are performed independently in dilepton and lepton+jets final states using a data sample of proton-proton collisions collected at $\sqrt{s} = $ 13 TeV by the CMS experiment in 2016, and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. Leptons and particle-level jets must be in the experimentally accessible kinematic region. The inclusive ${\mathrm{t\bar{t}} \text{jj}} $ cross section and the ${\mathrm{t\bar{t}}\mathrm{b\bar{b}}} $ to ${\mathrm{t\bar{t}} \text{jj}} $ cross section ratio in the visible phase space are measured by means of a binned maximum-likelihood fit to the b tagging discriminant distribution of the additional jets, from which the inclusive ${\mathrm{t\bar{t}}\mathrm{b\bar{b}}} $ cross section measurement is inferred. The cross section ratio and the inclusive ${\mathrm{t\bar{t}} \text{jj}} $ cross section in the visible phase space are extrapolated to the full phase space after correcting for the detector acceptance. The inclusive ${\mathrm{t\bar{t}} \text{jj}} $ cross sections in the visible phase space are measured to be 2.36 $\pm$ 0.20 pb in the dilepton channel and 31.0 $\pm$ 2.9 pb in the lepton+jets channel. The ratio of the ${\mathrm{t\bar{t}}\mathrm{b\bar{b}}} $ to ${\mathrm{t\bar{t}} \text{jj}} $ cross sections are measured to be 0.017 $\pm$ 0.002 $ and $0.020 $\pm$ 0.002 in the dilepton and the lepton+jets channels, respectively. The treatment of the systematic uncertainties as nuisance parameters in the fit leads to an improvement in the precision compared to previous measurements. The inclusive ${\mathrm{t\bar{t}}\mathrm{b\bar{b}}} $ cross sections and the cross section ratios for both decay channels measured in the full phase space show higher results than the ones from several different Monte Carlo predictions. A higher ${\mathrm{t\bar{t}}\mathrm{b\bar{b}}} $ cross section is also reported in a recent measurement performed by the CMS Collaboration in the fully hadronic final state [22]. |
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