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CMS-PAS-TOP-23-005
Measurement of the inclusive $ \mathrm{t\bar{t}} $ cross section in final states with one lepton and additional jets at 5.02 TeV with 2017 data
Abstract: A measurement of the top quark pair production cross section in proton-proton collisions at a centre-of-mass energy of 5.02 TeV is presented. The data were collected in a low-energy and low-intensity LHC run in autumn 2017, and correspond to an integrated luminosity of 302 pb$^{-1}$. The measurement is performed using events with one electron or muon, and multiple jets. Events are classified based on the number of all reconstructed jets and of the b-tagged jets; the signal selection includes the usage of multivariate analysis techniques. The measured cross section is 61.4 $ \pm $ 1.6 (stat) $^{+2.7}_{-2.6}$ (syst) $\pm$ 1.2 (lumi) pb. A combination with the result in the dilepton channel based on the same data set results in a value of 61.2 $ ^{+1.6}_{-1.5} $ (stat) $^{+2.6}_{-2.3}$ (syst) $\pm$ 1.2 (lumi) pb, in agreement with the standard model prediction of 69.5 $ ^{+2.9}_{-3.1} $ pb (at next-to-next-to-leading-order in QCD).
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Ranking of the input variables of the random forest. Importance in the horizontal axis is computed as the mean of accumulation of the impurity decrease within each tree [51].

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Figure 2:
Distributions for data and expected signal and background contributions of the most discriminating input variables used for the random forest training, $ \Delta R_\mathrm{med}(\mathrm{j,j')} $ (left) and $ \mathit{m}(\mathrm{u},\mathrm{u'}) $ (right), in the 3j1b category, before the maximum likelihood fit. The vertical error bars represent the statistical uncertainty in the data, and the shaded band the experimental uncertainty in the prediction (not including MC statistics). The lower panels show the data-to-prediction ratio. The first and last bins in each distribution include underflow and overflow events, respectively.

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Figure 2-a:
Distributions for data and expected signal and background contributions of the most discriminating input variables used for the random forest training, $ \Delta R_\mathrm{med}(\mathrm{j,j')} $ (left) and $ \mathit{m}(\mathrm{u},\mathrm{u'}) $ (right), in the 3j1b category, before the maximum likelihood fit. The vertical error bars represent the statistical uncertainty in the data, and the shaded band the experimental uncertainty in the prediction (not including MC statistics). The lower panels show the data-to-prediction ratio. The first and last bins in each distribution include underflow and overflow events, respectively.

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Figure 2-b:
Distributions for data and expected signal and background contributions of the most discriminating input variables used for the random forest training, $ \Delta R_\mathrm{med}(\mathrm{j,j')} $ (left) and $ \mathit{m}(\mathrm{u},\mathrm{u'}) $ (right), in the 3j1b category, before the maximum likelihood fit. The vertical error bars represent the statistical uncertainty in the data, and the shaded band the experimental uncertainty in the prediction (not including MC statistics). The lower panels show the data-to-prediction ratio. The first and last bins in each distribution include underflow and overflow events, respectively.

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Figure 3:
Distributions for data and expected signal and background contributions of the MVA score for the $ e $+jets (left) and $ \mu $+jets (right) channels in the 3j1b category, before the maximum likelihood fit. The vertical error bars represent the statistical uncertainty in the data, and the shaded band the experimental uncertainty in the prediction (not including MC statistics). The lower panels show the data-to-prediction ratio. The first and last bins in each distribution include underflow and overflow events, respectively.

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Figure 3-a:
Distributions for data and expected signal and background contributions of the MVA score for the $ e $+jets (left) and $ \mu $+jets (right) channels in the 3j1b category, before the maximum likelihood fit. The vertical error bars represent the statistical uncertainty in the data, and the shaded band the experimental uncertainty in the prediction (not including MC statistics). The lower panels show the data-to-prediction ratio. The first and last bins in each distribution include underflow and overflow events, respectively.

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Figure 3-b:
Distributions for data and expected signal and background contributions of the MVA score for the $ e $+jets (left) and $ \mu $+jets (right) channels in the 3j1b category, before the maximum likelihood fit. The vertical error bars represent the statistical uncertainty in the data, and the shaded band the experimental uncertainty in the prediction (not including MC statistics). The lower panels show the data-to-prediction ratio. The first and last bins in each distribution include underflow and overflow events, respectively.

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Figure 4:
Observed and predicted number of events in each of the eight categories of the signal region, before the maximum likelihood fit. The vertical error bars represent the statistical uncertainty in the data, and the shaded band the experimental and theoretical uncertainty in the prediction. The lower panels show the data-to-prediction ratio.

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Figure 5:
Distributions for the $ e $+jets final state after the maximum likelihood fit: MVA score bins for the 3j1b category and $ \Delta R_\mathrm{med}(\mathrm{j,j')} $ bins for the other categories. The vertical error bars represent the statistical uncertainty in the data, and the shaded band the uncertainty in the prediction. All uncertainties considered in the analysis are included in the uncertainty band. The lower panels show the data-to-prediction ratio. The first and last bins in each distribution include underflow and overflow events, respectively.

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Figure 6:
Distributions for the $ \mu $+jets final state after the maximum likelihood fit: MVA score bins for the 3j1b category and $ \Delta R_\mathrm{med}(\mathrm{j,j')} $ bins for the other categories. The vertical error bars represent the statistical uncertainty in the data, and the shaded band the uncertainty in the prediction. All uncertainties considered in the analysis are included in the uncertainty band. The lower panels show the data-to-prediction ratio. The first and last bins in each distribution include underflow and overflow events, respectively.

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Figure 9:
Summary of the most recent measurements from the ATLAS [3] and CMS Collaborations using data collected at 5 TeV.
Tables

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Table 1:
Summary of MC samples used to model the signal and background processes. The last column corresponds to the QCD or electroweak (EW) precision used to normalize the distributions provided by the generators. The predictions for $ \mathrm{t} \overline{\mathrm{t}} $, $ t $ channel and $ \mathrm{t}\mathrm{W} $ are calculated using the PDF4LHC prescription [31].

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Table 2:
Summary of the variables used for the MVA training.
Summary
A measurement of the top quark pair production cross section in proton-proton collisions at a centre-of-mass energy of 5.02 TeV is performed for events with one electron or one muon and multiple jets using data collected by the CMS experiment in 2017, corresponding to an integrated luminosity of 302 pb$^{-1}$. The dominant background sources in the analysis are W+jets and tW processes for which MC simulations are used to estimate their contribution. In addition, the contribution from QCD multijet events is estimated from data. The measurement is done via a maximum likelihood fit to eight event categories defined in terms of the number of jets and b-tagged jets. The cross section is found to be 61.4 $ \pm $ 1.6 (stat) $ ^{+2.7}_{-2.6} $ (syst) $ \pm $ 1.2 (lumi) pb. This measurement is combined with the result obtained in the dilepton channel, based on the same data set, resulting in a value of 61.2 $ ^{+1.6}_{-1.5} $ (stat) $ ^{+2.6}_{-2.3} $ (syst) $ \pm $ 1.2 (lumi) pb. In both cases, the dominant uncertainties are those associated with the luminosity and with the b tagging scale factors for heavy flavours. This result is in agreement with the standard model prediction and with previous measurements from CMS and ATLAS. A summary plot of previous CMS and ATLAS measurements, together with the ones presented in this analysis (as well as those for the $ e $+jets and $ \mu $+jets channels separately) can be seen in Fig. 9.
References
1 CMS Collaboration Measurement of the inclusive $ \mathrm{t} \overline{\mathrm{t}} $ cross section in pp collisions at $ \sqrt{s}= $ 5.02 TeV using final states with at least one charged lepton JHEP 03 (2018) 115 CMS-TOP-16-023
1711.03143
2 CMS Collaboration Measurement of the inclusive $ \mathrm{t}\overline{\mathrm{t}} $ production cross section in proton-proton collisions at $ \sqrt{s} = $ 5.02 TeV JHEP 04 (2022) 144 CMS-TOP-20-004
2112.09114
3 ATLAS Collaboration Measurement of the $ t\overline{t} $ production cross-section in pp collisions at $ \sqrt{s} = $ 5.02 TeV with the ATLAS detector JHEP 06 (2023) 138 2207.01354
4 CMS and ATLAS Collaborations Combination of inclusive top-quark pair production cross-section measurements using ATLAS and CMS data at $ \sqrt{s} = $ 7 and 8 TeV JHEP 07 (2023) 213 2205.13830
5 ATLAS Collaboration Measurement of the $ \mathrm{t} \overline{\mathrm{t}} $ production cross-section and lepton differential distributions in $ e\mu $ dilepton events from pp collisions at $ \sqrt{s}= $ 13 TeV with the ATLAS detector EPJC 80 (2020) 528 1910.08819
6 CMS Collaboration Measurement of the top quark pair production cross section in proton-proton collisions at $ \sqrt{s}= $ 13 TeV PRL 116 (2016) 052002 CMS-TOP-15-003
1510.05302
7 CMS Collaboration Measurement of the $ \mathrm{t} \overline{\mathrm{t}} $ production cross section using events in the $ \mathrm{e}\mu $ final state in pp collisions at $ \sqrt{s}= $ 13 TeV EPJC 77 (2017) 172 CMS-TOP-16-005
1611.04040
8 CMS Collaboration Measurement of differential $ \mathrm{t} \overline{\mathrm{t}} $ production cross sections in the full kinematic range using lepton+jets events from proton-proton collisions at $ \sqrt{s}= $ 13 TeV PRD 104 (2021) 092013 CMS-TOP-20-001
2108.02803
9 LHCb Collaboration Measurement of forward top pair production in the dilepton channel in pp collisions at $ \sqrt{s}= $ 13 TeV JHEP 08 (2018) 174 1803.05188
10 CMS Collaboration First measurement of the top quark pair production cross section in proton-proton collisions at $ \sqrt{s} = $ 13.6 TeV JHEP 08 (2023) 204 CMS-TOP-22-012
2303.10680
11 ATLAS Collaboration Measurement of the $ \mathrm{t}\overline{\mathrm{t}} $ cross section and its ratio to the Z production cross section using pp collisions at $ \sqrt{s} = $ 13.6 TeV with the ATLAS detector PLB 848 (2024) 138376 2308.09529
12 CMS Collaboration Observation of top quark production in proton-nucleus collisions PRL 119 (2017) 242001 CMS-HIN-17-002
1709.07411
13 CMS Collaboration Evidence for top quark production in nucleus-nucleus collisions PRL 125 (2020) 222001 CMS-HIN-19-001
2006.11110
14 CMS Collaboration Measurement of double-differential cross sections for top quark pair production in pp collisions at $ \sqrt{s} = $ 8 TeV and impact on parton distribution functions EPJC 77 (2017) 459 CMS-TOP-14-013
1703.01630
15 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
16 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 Accepted by \itJINST CMS-PRF-21-001
2309.05466
17 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
18 CMS Collaboration Performance of the CMS Level-1 trigger in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JINST 15 (2020) P10017 CMS-TRG-17-001
2006.10165
19 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
20 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
21 S. Alioli, P. Nason, C. Oleari, and E. Re A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX JHEP 06 (2010) 043 1002.2581
22 S. Frixione, P. Nason, and G. Ridolfi A positive-weight next-to-leading-order Monte Carlo for heavy flavor hadroproduction JHEP 09 (2007) 126 0707.3088
23 T. Sjöstrand et al. An introduction to PYTHIA8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
24 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements EPJC 80 (2020) 4 CMS-GEN-17-001
1903.12179
25 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
26 J. Alwall et al. The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations JHEP 07 (2014) 079 1405.0301
27 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
28 M. Czakon and A. Mitov TOP++: a program for the calculation of the top-pair cross-section at hadron colliders Comput. Phys. Commun. 185 (2014) 2930 1112.5675
29 M. Czakon, P. Fiedler, and A. Mitov Total top quark pair production cross section at hadron colliders through O($ \alpha_\mathrm{S}^4 $) PRL 110 (2013) 252004 1303.6254
30 Particle Data Group Collaboration Review of Particle Physics PTEP 2020 (2020) 083C01
31 M. Botje et al. The PDF4LHC Working Group Interim Recommendations 1101.0538
32 A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt Parton distributions for the LHC EPJC 63 (2009) 189 0901.0002
33 A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt Uncertainties on $ \alpha_{S} $ in global PDF analyses and implications for predicted hadronic cross sections EPJC 64 (2009) 653 0905.3531
34 H.-L. Lai et al. New parton distributions for collider physics PRD 82 (2010) 074024 1007.2241
35 J. Gao et al. CT10 next-to-next-to-leading order global analysis of QCD PRD 89 (2014) 033009 1302.6246
36 R. D. Ball et al. Parton distributions with LHC data Nuclear Physics B 867 (2013) 244 1207.1303
37 J. Campbell, T. Neumann, and Z. Sullivan Single-top-quark production in the $ t $-channel at NNLO JHEP 02 (2021) 040 2012.01574
38 N. Kidonakis and N. Yamanaka Higher-order corrections for $ tW $ production at high-energy hadron colliders JHEP 05 (2021) 278 2102.11300
39 K. Melnikov and F. Petriello Electroweak gauge boson production at hadron colliders through $ O(\alpha_\mathrm{S}^2) $ PRD 74 (2006) 114017 hep-ph/0609070
40 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
41 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_{\mathrm{T}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
42 M. Cacciari, G. P. Salam, and G. Soyez FASTJET user manual EPJC 72 (2012) 1896 1111.6097
43 CMS Collaboration Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV JINST 12 (2017) P02014 CMS-JME-13-004
1607.03663
44 CMS Collaboration Jet algorithms performance in 13 TeV data CMS Physics Analysis Summary, 2017
CMS-PAS-JME-16-003
CMS-PAS-JME-16-003
45 CMS Collaboration Identification of heavy-flavour jets with the CMS detector in pp collisions at 13 TeV JINST 13 (2018) P05011 CMS-BTV-16-002
1712.07158
46 CMS Collaboration Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC JINST 16 (2021) P05014 CMS-EGM-17-001
2012.06888
47 CMS Collaboration Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) P06015 CMS-MUO-16-001
1804.04528
48 CMS Collaboration Technical proposal for the Phase-II upgrade of the Compact Muon Solenoid CMS Technical Proposal CERN-LHCC-2015-010, CMS-TDR-15-02, 2015
CDS
49 CMS Collaboration Measurement of the Higgs boson production rate in association with top quarks in final states with electrons, muons, and hadronically decaying tau leptons at $ \sqrt{s}= $ 13 TeV EPJC 81 (2021) 378 CMS-HIG-19-008
2011.03652
50 CMS Collaboration Performance of missing transverse momentum reconstruction in proton-proton collisions at $ \sqrt{s} = $ 13 TeV using the CMS detector JINST 14 (2019) P07004 CMS-JME-17-001
1903.06078
51 F. Pedregosa et al. Scikit-learn: Machine learning in python Journal of Machine Learning Research 12 (2011) 2825
52 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
53 CMS Collaboration Luminosity calibration for the pp reference run at $ \sqrt{s}= $ 5.02 TeV in 2017 CMS Physics Analysis Summary, 2019
CMS-PAS-LUM-19-001
CMS-PAS-LUM-19-001
54 J. S. Conway Incorporating nuisance parameters in likelihoods for multisource spectra in Proc. 2011 Workshop on Statistical Issues Related to Discovery Claims in Search Experiments and Unfolding (PHYSTAT ): Geneva, 2011
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