CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-EXO-21-019 ; CERN-EP-2023-301
Search for pair production of scalar and vector leptoquarks decaying to muons and bottom quarks in proton-proton collisions at $ \sqrt{s}= $ 13 TeV
Accepted for publication in Phys. Rev. D
Abstract: A search for pair production of scalar and vector leptoquarks (LQs) each decaying to a muon and a bottom quark is performed using proton-proton collision data collected at $ \sqrt{s}= $ 13 TeV with the CMS detector at the CERN LHC, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. No excess above standard model expectation is observed. Scalar (vector) LQs with masses less than 1810 (2120) GeV are excluded at 95% confidence level, assuming a 100% branching fraction of the LQ decaying to a muon and a bottom quark. These limits represent the most stringent to date.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Dominant leading order Feynman diagrams for pair production of LQs at the LHC.

png pdf
Figure 1-a:
Leading order Feynman diagram for pair production of LQs at the LHC.

png pdf
Figure 1-b:
Leading order Feynman diagram for pair production of LQs at the LHC.

png pdf
Figure 1-c:
Leading order Feynman diagram for pair production of LQs at the LHC.

png pdf
Figure 1-d:
Leading order Feynman diagram for pair production of LQs at the LHC.

png pdf
Figure 2:
Comparison of data and background $ m_{\mu\mu} $ distribution at the preselection level for the $ \mathrm{Z}/\gamma^* $+jets and $ \mathrm{t} \bar{\mathrm{t}} $+jets (left) and diboson and $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{V} $ (right) background control regions, with the corresponding data-to-background ratio shown below. For $ \mathrm{Z}/\gamma^* $+jets, the control region is a $ m_{\mu\mu} $ window of 80-100 GeV around the Z peak, and for $ \mathrm{t} \bar{\mathrm{t}} $ +jets is a window of 100-250 GeV. For diboson and $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{V} $ processes, the normalization is performed simultaneously, with a control region again of 80-100 GeV around the Z peak, but with a third lepton requirement (to remain orthogonal to the $ \mathrm{Z}/\gamma^* $+jets control region) and no b tag requirement (to diminish the statistical uncertainty). The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate. The signal contribution in all control regions is negligible.

png pdf
Figure 2-a:
Comparison of data and background $ m_{\mu\mu} $ distribution at the preselection level for the

png pdf
Figure 2-b:
Comparison of data and background $ m_{\mu\mu} $ distribution at the preselection level for the $ \mathrm{Z}/\gamma^* $+jets and $ \mathrm{t} \bar{\mathrm{t}} $+jets (left) and diboson and $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{V} $ (right) background control regions, with the corresponding data-to-background ratio shown below. For $ \mathrm{Z}/\gamma^* $+jets, the control region is a $ m_{\mu\mu} $ window of 80-100 GeV around the Z peak, and for $ \mathrm{t} \bar{\mathrm{t}} $ +jets is a window of 100-250 GeV. For diboson and $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{V} $ processes, the normalization is performed simultaneously, with a control region again of 80-100 GeV around the Z peak, but with a third lepton requirement (to remain orthogonal to the $ \mathrm{Z}/\gamma^* $+jets control region) and no b tag requirement (to diminish the statistical uncertainty). The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate. The signal contribution in all control regions is negligible.

png pdf
Figure 3:
Comparison of data and background $ p_{\mathrm{T}} $ distribution at the preselection level for the leading two muons and jets. The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate.

png pdf
Figure 3-a:
Comparison of data and background $ p_{\mathrm{T}} $ distribution at the preselection level for the leading two muons and jets. The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate.

png pdf
Figure 3-b:
Comparison of data and background $ p_{\mathrm{T}} $ distribution at the preselection level for the leading two muons and jets. The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate.

png pdf
Figure 3-c:
Comparison of data and background $ p_{\mathrm{T}} $ distribution at the preselection level for the leading two muons and jets. The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate.

png pdf
Figure 3-d:
Comparison of data and background $ p_{\mathrm{T}} $ distribution at the preselection level for the leading two muons and jets. The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate.

png pdf
Figure 4:
Comparison of data and background BDT discriminant distributions at the preselection level for LQ mass hypotheses of 1500 GeV (upper left), 1800 GeV (upper right), and 2000 GeV (lower). The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate.

png pdf
Figure 4-a:
Comparison of data and background BDT discriminant distributions at the preselection level for LQ mass hypotheses of 1500 GeV (upper left), 1800 GeV (upper right), and 2000 GeV (lower). The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate.

png pdf
Figure 4-b:
Comparison of data and background BDT discriminant distributions at the preselection level for LQ mass hypotheses of 1500 GeV (upper left), 1800 GeV (upper right), and 2000 GeV (lower). The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate.

png pdf
Figure 4-c:
Comparison of data and background BDT discriminant distributions at the preselection level for LQ mass hypotheses of 1500 GeV (upper left), 1800 GeV (upper right), and 2000 GeV (lower). The error bars are the data statistical uncertainties, while the shaded band represents the combined statistical and systematic uncertainty in the full background estimate.

png pdf
Figure 5:
Total signal selection efficiency, defined as the number of events passing the final selection divided by the number of generated events. The discrete nature of the individual BDT training and final selection for each LQ candidate mass produces the observed variation in the efficiency. Relative uncertainties are less than one percent in all cases.

png pdf
Figure 6:
Data, background, and signal event yields after final selections, for each scalar $ m_{\mathrm{LQ}} $ hypothesis. Each bin on the $ y $ axis represents an independent $ m_{\mathrm{LQ}} $ hypothesis. The hatched band represents the combined statistical and systematic uncertainty in the full background estimate.

png pdf
Figure 7:
The expected and observed upper limits at 95% CL on the product of the LQ pair production cross section and the branching fractions $ \beta^2 $ as a function of $ m_{\mathrm{LQ}} $. The black solid line represents the observed limits, the dotted line is for the median expected limits, and the inner dark-green and outer light-yellow bands are for the 68 and 95% CL intervals. The solid blue line and corresponding blue band represents the theoretical scalar LQ pair production cross sections and the uncertainties on the cross sections due to the PDF prediction and renormalization and factorization scales, respectively. Similarly, the dash-dotted (dashed) line and corresponding band represents the cross sections of theoretical vector LQ pair production and uncertainties in the minimal coupling (Yang-Mills) scenario.

png pdf
Figure 8:
The expected and observed exclusion limits at 95% CL as a function of the leptoquark mass and the branching fraction $ \beta $. The solid line represents the observed limits, the dashed line represents the median expected limits, and the inner dark-green and outer light-yellow bands represent the 68 and 95% CL intervals. The area left of the observed limit is excluded.
Tables

png pdf
Table 1:
Systematic uncertainties in signal efficiency and background yields in the combined 2016-2018 data set, shown as a range over all final selections (second and third columns) as well as for the $ m_{\mathrm{LQ}} = $ 1800 GeV point (rightmost two columns). The last two rows show the total systematic and statistical uncertainties in the simulated samples.
Summary
A search has been performed for pair production of leptoquarks (LQs) decaying to muons and bottom quarks using proton-proton collision data collected at $ \sqrt{s} = $ 13 TeV in 2016-2018 with the CMS detector at the LHC, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. Limits are set at 95% confidence level on the product of the scalar LQ pair production cross section and $ \beta^2 $, as a function of the LQ mass $ m_{\mathrm{LQ}} $, where $ \beta $ is the branching fraction of the LQ decaying to a muon and a bottom quark. Scalar LQs with $ m_{\mathrm{LQ}} < $ 1810 GeV are excluded for $ \beta= $ 1. The results are also presented as a function of $ \beta $, and scalar LQs with $ m_{\mathrm{LQ}} < $ 1540 GeV are excluded for $ \beta= $ 0.5. A further interpretation is performed with a vector LQ model, and vector LQs with $ m_{\mathrm{LQ}} < $ 2120 (2460) GeV are excluded in the minimal coupling (Yang-Mills) scenario for $ \beta= $ 1. These represent the most stringent limits to date on these models.
References
1 J. C. Pati and A. Salam Unified lepton-hadron symmetry and a gauge theory of the basic interactions PRD 8 (1973) 1240
2 J. C. Pati and A. Salam Lepton number as the fourth color PRD 10 (1974) 275
3 H. Georgi and S. Glashow Unity of all elementary-particle forces PRL 32 (1974) 438
4 H. Fritzsch and P. Minkowski United interactions of leptons and hadrons Annals Phys. 93 (1975) 193
5 G. Senjanovi \'c and A. Sokorac Light lepto-quarks in SO(10) Z. Phys. C 20 (1983) 255
6 P. H. Frampton and B.-H. Lee SU(15) grand unification PRL 64 (1990) 619
7 P. H. Frampton and T. W. Kephart Higgs sector and proton decay in SU(15q) grand unification PRD 42 (1990) 3892
8 H. Murayama and T. Yanagida A viable SU(5) GUT with light leptoquark bosons Mod. Phys. Lett. A 07 (1992) 147
9 B. Schrempp and F. Schrempp Light leptoquarks PLB 153 (1985) 101
10 S. Dimopoulos and L. Susskind Mass without scalars NPB 155 (1979) 237
11 S. Dimopoulos Technicolored signatures NPB 168 (1980) 69
12 E. Eichten and K. Lane Dynamical breaking of the weak interaction symmetries PLB 90 (1980) 85
13 J. L. Hewett and T. G. Rizzo Low-energy phenomenology of superstring-inspired E$ _{6} $ models Phys. Rept. 183 (1989) 193
14 P. Ramond Dual theory for free fermions PRD 3 (1971) 2415
15 Y. A. Golfand and E. P. Likhtman Extension of the algebra of Poincaré group generators and violation of p invariance JETP Lett. 13 (1971) 323
16 A. Neveu and J. H. Schwarz Factorizable dual model of pions NPB 31 (1971) 86
17 D. V. Volkov and V. P. Akulov Possible universal neutrino interaction JETP Lett. 16 (1972) 438
18 J. Wess and B. Zumino A Lagrangian model invariant under supergauge transformations PLB 49 (1974) 52
19 J. Wess and B. Zumino Supergauge transformations in four dimensions NPB 70 (1974) 39
20 P. Fayet Supergauge invariant extension of the Higgs mechanism and a model for the electron and its neutrino NPB 90 (1975) 104
21 G. R. Farrar and P. Fayet Phenomenology of the production, decay, and detection of new hadronic states associated with supersymmetry PLB 76 (1978) 575
22 H. P. Nilles Supersymmetry, supergravity and particle physics Phys. Rept. 110 (1984) 1
23 R. Barbier et al. R-parity violating supersymmetry Phys. Rept. 420 (2005) 1 hep-ph/0406039
24 BaBar Collaboration Evidence for an excess of $ \bar{B} \to D^{(*)} \tau^-\bar{\nu}_\tau $ decays PRL 109 (2012) 101802 1205.5442
25 BaBar Collaboration Measurement of an Excess of $ \bar{B} \to D^{(*)}\tau^- \bar{\nu}_\tau $ Decays and Implications for Charged Higgs Bosons PRD 88 (2013) 072012 1303.0571
26 Belle Collaboration Measurement of the branching ratio of $ \bar{B} \to D^{(\ast)} \tau^- \bar{\nu}_\tau $ relative to $ \bar{B} \to D^{(\ast)} \ell^- \bar{\nu}_\ell $ decays with hadronic tagging at Belle PRD 92 (2015) 072014 1507.03233
27 Belle Collaboration Measurement of the $ \tau $ lepton polarization and $ R(D^*) $ in the decay $ \bar{B} \to D^* \tau^- \bar{\nu}_\tau $ PRL 118 (2017) 211801 1612.00529
28 Belle Collaboration Measurement of the $ \tau $ lepton polarization and $ R(D^*) $ in the decay $ \bar{B} \rightarrow D^* \tau^- \bar{\nu}_\tau $ with one-prong hadronic $ \tau $ decays at Belle PRD 97 (2018) 012004 1709.00129
29 Belle Collaboration Measurement of $ \mathcal{R}(D) $ and $ \mathcal{R}(D^*) $ with a semileptonic tagging method PRL 124 (2020) 161803 1910.05864
30 LHCb Collaboration Measurement of the ratio of branching fractions $ \mathcal{B}(\bar{B}^0 \to D^{*+}\tau^{-}\bar{\nu}_{\tau})/\mathcal{B}(\bar{B}^0 \to D^{*+}\mu^{-}\bar{\nu}_{\mu}) $ PRL 115 (2015) 111803 1506.08614
31 LHCb Collaboration Measurement of the ratio of the $ B^0 \to D^{*-} \tau^+ \nu_{\tau} $ and $ B^0 \to D^{*-} \mu^+ \nu_{\mu} $ branching fractions using three-prong $ \tau $-lepton decays PRL 120 (2018) 171802 1708.08856
32 LHCb Collaboration Test of Lepton Flavor Universality by the measurement of the $ B^0 \to D^{*-} \tau^+ \nu_{\tau} $ branching fraction using three-prong $ \tau $ decays PRD 97 (2018) 072013 1711.02505
33 LHCb Collaboration Measurement of the ratio of branching fractions $ \mathcal{B}(B_c^+\,\to\,J/\psi\tau^+\nu_\tau) $/$ \mathcal{B}(B_c^+\,\to\,J/\psi\mu^+\nu_\mu) $ PRL 120 (2018) 121801 1711.05623
34 LHCb Collaboration Test of lepton flavor universality using $ B^0 \to D^{*-}\tau^+\nu_{\tau} $ decays with hadronic $ \tau $ channels PRD 108 (2023) 012018 2305.01463
35 LHCb Collaboration Measurement of the ratios of branching fractions $ \mathcal{R}(D^{*}) $ and $ \mathcal{R}(D^{0}) $ Submitted to Phys. Rev. Lett., 2023 2302.02886
36 Muon $g$-2 Collaboration Final report of the E821 muon anomalous magnetic moment measurement at BNL PRD 73 (2006) 072003 hep-ex/0602035
37 Muon $g$-2 Collaboration Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm PRL 126 (2021) 141801 2104.03281
38 Muon $g$-2 Collaboration Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm PRL 131 (2023) 161802 2308.06230
39 I. Dor \v s ner et al. Physics of leptoquarks in precision experiments and at particle colliders Phys. Rept. 641 (2016) 1 1603.04993
40 B. Diaz, M. Schmaltz, and Y.-M. Zhong The leptoquark Hunter's guide: Pair production JHEP 10 (2017) 097 1706.05033
41 D. Buttazzo, A. Greljo, G. Isidori, and D. Marzocca B-physics anomalies: a guide to combined explanations JHEP 11 (2017) 44 1706.07808
42 L. Calibbi, A. Crivellin, and T. Li Model of vector leptoquarks in view of the $ B $-physics anomalies PRD 98 (2018) 115002 1709.00692
43 G. Hiller, D. Loose, and I. Ni \v s and \v z i \' c Flavorful leptoquarks at hadron colliders PRD 97 (2018) 075004 1801.09399
44 W. Buchm \"u ller, R. R \"u ckl, and D. Wyler Leptoquarks in lepton-quark collisions PLB 191 (1987) 442
45 J. Blumlein, E. Boos, and A. Kryukov Leptoquark pair production in hadronic interactions Z. Phys. C 76 (1997) 137 hep-ph/9610408
46 CMS Collaboration Search for pair production of first and second generation leptoquarks in proton-proton collisions at $ \sqrt{s} $ = 8 TeV PRD 93 (2016) 032004 CMS-EXO-12-041
1509.03744
47 CMS Collaboration Search for pair production of second-generation leptoquarks at $ \sqrt{s}= $ 13 TeV PRD 99 (2019) 032014 CMS-EXO-17-003
1808.05082
48 ATLAS Collaboration Search for pairs of scalar leptoquarks decaying into quarks and electrons or muons in $ \sqrt{s} $ = 13 TeV $ pp $ collisions with the ATLAS detector JHEP 10 (2020) 112 2006.05872
49 ATLAS Collaboration Search for pair-produced scalar and vector leptoquarks decaying into third-generation quarks and first- or second-generation leptons in $ pp $ collisions with the ATLAS detector JHEP 06 (2023) 188 2210.04517
50 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
51 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
52 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
53 CMS Collaboration Technical Proposal for the Phase-II Upgrade of the CMS Detector Technical Report CMS-TDR-15-02, . https://cds.cern.ch/record/886, 2015
CDS
54 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
55 E. Bols et al. Jet flavour classification using DeepJet JINST 15 (2020) P12012 2008.10519
56 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
57 CMS Collaboration Performance summary of AK4 jet b tagging with data from proton-proton collisions at 13 TeV with the CMS detector CMS Detector Performance Note CMS-DP-2023-005, . http://cds.cern.ch/record/2854609, 2023
CDS
58 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_\text{T} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
59 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
60 CMS Collaboration Pileup mitigation at CMS in 13 TeV data JINST 15 (2020) P09018 CMS-JME-18-001
2003.00503
61 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
62 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
63 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
64 CMS Collaboration Precision luminosity measurement in proton-proton collisions at $ \sqrt{s}= $ 13 TeV in 2015 and 2016 at CMS EPJC 81 (2021) 800 CMS-LUM-17-003
2104.01927
65 CMS Collaboration CMS luminosity measurement for the 2017 data-taking period at $ \sqrt{s}= $ 13 TeV CMS Physics Analysis Summary , . http://cds.cern.ch/record/262, 2018
CMS-PAS-LUM-17-004
CMS-PAS-LUM-17-004
66 CMS Collaboration CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s}= $ 13 TeV CMS Physics Analysis Summary , . http://cds.cern.ch/record/2676164, 2019
CMS-PAS-LUM-18-002
CMS-PAS-LUM-18-002
67 S. Frixione and B. R. Webber Matching NLO QCD computations and parton shower simulations JHEP 06 (2002) 029 hep-ph/0204244
68 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
69 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
70 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
71 S. Alioli, P. Nason, C. Oleari, and E. Re NLO vector-boson production matched with shower in POWHEG JHEP 07 (2008) 060 0805.4802
72 S. Alioli, P. Nason, C. Oleari, and E. Re NLO single-top production matched with shower in POWHEG: $ s $- and $ t $-channel contributions JHEP 09 (2009) 111 0907.4076
73 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
74 S. Frixione, E. Laenen, P. Motylinski, and B. R. Webber Single-top production in MC@NLO JHEP 03 (2006) 092 hep-ph/0512250
75 T. Sjöstrand et al. An Introduction to PYTHIA 8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
76 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
77 GEANT4 Collaboration GEANT 4---A simulation toolkit NIM A 506 (2003) 250
78 J. Allison et al. GEANT 4 developments and applications IEEE Trans. Nucl. Sci. 53 (2006) 270
79 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
80 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
81 I. Dor \v s ner and A. Greljo Leptoquark toolbox for precision collider studies JHEP 05 (2018) 126 1801.07641
82 M. Kramer, T. Plehn, M. Spira, and P. M. Zerwas Pair production of scalar leptoquarks at the CERN LHC PRD 71 (2005) 057503 hep-ph/0411038
83 T. Mandal, S. Mitra, and S. Seth Pair Production of scalar leptoquarks at the LHC to NLO parton shower accuracy PRD 93 (2016) 035018 1506.07369
84 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
85 L. Mason, J. Baxter, P. L. Bartlett, and M. Frean Boosting algorithms as gradient descent in, 2000
Advances in Neural Information Processing Systems 1 (2000) 512
86 J. H. Friedman Greedy function approximation: A gradient boosting machine. Annals Statist. 29 (2001) 1189
87 J. H. Friedman Stochastic gradient boosting Comput. Stat. Data Anal. 38 (2002) 367
88 G. Punzi Sensitivity of searches for new signals and its optimization in Statistical problems in particle physics, astrophysics and cosmology. Proceedings, Conference, PHYSTAT, Stanford, USA, September 8-11,, 2003
link
physics/0308063
89 CMS Collaboration HEPData record for this analysis link
90 CMS Collaboration Search for high-mass resonances in dilepton final states in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JHEP 06 (2018) 120 CMS-EXO-16-047
1803.06292
91 D. Bourilkov, R. C. Group, and M. R. Whalley LHAPDF: PDF use from the Tevatron to the LHC hep-ph/0605240
92 CMS Collaboration Measurement of the inelastic proton-proton cross section at $ \sqrt{s}= $ 13 TeV JHEP 07 (2018) 161 CMS-FSQ-15-005
1802.02613
93 CMS Collaboration Measurement of differential cross sections for top quark pair production using the lepton+jets final state in proton-proton collisions at 13 TeV PRD 95 (2017) 092001 CMS-TOP-16-008
1610.04191
94 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
95 T. Junk Confidence level computation for combining searches with small statistics NIM A 434 (1999) 435 hep-ex/9902006
96 A. L. Read Presentation of search results: The CL$ _{\rm{s}} $ technique JPG 28 (2002) 2693
97 J. B. Hammett and D. A. Ross NLO leptoquark production and decay: the narrow-width approximation and beyond JHEP 07 (2015) 148 1501.06719
Compact Muon Solenoid
LHC, CERN