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CMS-SUS-21-005 ; CERN-EP-2026-130
Search for new physics using single-lepton events with high multiplicities of jets and b jets in proton-proton collisions at $ \sqrt{s}= $ 13 TeV
Submitted to the Journal of High Energy Physics
Abstract: This paper presents a search for beyond the standard model physics using single-lepton events with a high multiplicity of jets, including those identified as bottom quark jets, without a requirement on missing transverse momentum. The analysis is based on proton-proton collision data collected with the CMS detector at the CERN LHC at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. This search is sensitive to $ R $-parity violating supersymmetry models, where supersymmetric particles can decay into standard-model particles through interactions that violate baryon number conservation. In particular, the signal model considered is gluino pair production, where each gluino decays into top, bottom, and strange quarks. The sum of large-radius jet masses is used to distinguish the signal from background, as it effectively captures the features of high jet multiplicity and high interaction energy. No significant excess of data over the background predictions is observed. Gluinos in this model have been excluded for masses below 1890 GeV at 95% confidence level.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Diagram of the signal model considered in this analysis. Gluinos are produced in pairs and decay to t, b, and s.

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Figure 2:
Distributions of $ N_{\text{jet}} $ (left), $ N_{\mathrm{b}} $ (middle), and $ M_{\mathrm{J}} $ (right) for $ {\mathrm{t}\overline{\mathrm{t}}} $ and signal events in two gluino mass scenarios, after applying the baseline selection, as described in Section 3.

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Figure 2-a:
Distributions of $ N_{\text{jet}} $ (left), $ N_{\mathrm{b}} $ (middle), and $ M_{\mathrm{J}} $ (right) for $ {\mathrm{t}\overline{\mathrm{t}}} $ and signal events in two gluino mass scenarios, after applying the baseline selection, as described in Section 3.

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Figure 2-b:
Distributions of $ N_{\text{jet}} $ (left), $ N_{\mathrm{b}} $ (middle), and $ M_{\mathrm{J}} $ (right) for $ {\mathrm{t}\overline{\mathrm{t}}} $ and signal events in two gluino mass scenarios, after applying the baseline selection, as described in Section 3.

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Figure 2-c:
Distributions of $ N_{\text{jet}} $ (left), $ N_{\mathrm{b}} $ (middle), and $ M_{\mathrm{J}} $ (right) for $ {\mathrm{t}\overline{\mathrm{t}}} $ and signal events in two gluino mass scenarios, after applying the baseline selection, as described in Section 3.

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Figure 3:
Comparison of $ M_{\mathrm{J}} $ shapes between data and simulation in the CRs used to measure the $ \kappa $ factors for QCD multijet (left), W+jets (middle), and $ {\mathrm{t}\overline{\mathrm{t}}} $ (right). The selection corresponds to $ N_{\text{lep}}= $ 0, $ N_{\text{jet}}\ge $ 9, $ N_{\mathrm{b}}= $ 0 for QCD multijet; a DY+jets background dominated region with $ N_{\text{lep}}= $ 2, $ N_{\text{jet}}\ge $ 7, $ N_{\mathrm{b}}\le $ 2 for W+jets; and $ N_{\text{lep}}= $ 1, $ N_{\text{jet}}\ge $ 8, $ N_{\mathrm{b}}= $ 1 for $ {\mathrm{t}\overline{\mathrm{t}}} $. The simulation is normalized to data in all regions.

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Figure 3-a:
Comparison of $ M_{\mathrm{J}} $ shapes between data and simulation in the CRs used to measure the $ \kappa $ factors for QCD multijet (left), W+jets (middle), and $ {\mathrm{t}\overline{\mathrm{t}}} $ (right). The selection corresponds to $ N_{\text{lep}}= $ 0, $ N_{\text{jet}}\ge $ 9, $ N_{\mathrm{b}}= $ 0 for QCD multijet; a DY+jets background dominated region with $ N_{\text{lep}}= $ 2, $ N_{\text{jet}}\ge $ 7, $ N_{\mathrm{b}}\le $ 2 for W+jets; and $ N_{\text{lep}}= $ 1, $ N_{\text{jet}}\ge $ 8, $ N_{\mathrm{b}}= $ 1 for $ {\mathrm{t}\overline{\mathrm{t}}} $. The simulation is normalized to data in all regions.

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Figure 3-b:
Comparison of $ M_{\mathrm{J}} $ shapes between data and simulation in the CRs used to measure the $ \kappa $ factors for QCD multijet (left), W+jets (middle), and $ {\mathrm{t}\overline{\mathrm{t}}} $ (right). The selection corresponds to $ N_{\text{lep}}= $ 0, $ N_{\text{jet}}\ge $ 9, $ N_{\mathrm{b}}= $ 0 for QCD multijet; a DY+jets background dominated region with $ N_{\text{lep}}= $ 2, $ N_{\text{jet}}\ge $ 7, $ N_{\mathrm{b}}\le $ 2 for W+jets; and $ N_{\text{lep}}= $ 1, $ N_{\text{jet}}\ge $ 8, $ N_{\mathrm{b}}= $ 1 for $ {\mathrm{t}\overline{\mathrm{t}}} $. The simulation is normalized to data in all regions.

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Figure 3-c:
Comparison of $ M_{\mathrm{J}} $ shapes between data and simulation in the CRs used to measure the $ \kappa $ factors for QCD multijet (left), W+jets (middle), and $ {\mathrm{t}\overline{\mathrm{t}}} $ (right). The selection corresponds to $ N_{\text{lep}}= $ 0, $ N_{\text{jet}}\ge $ 9, $ N_{\mathrm{b}}= $ 0 for QCD multijet; a DY+jets background dominated region with $ N_{\text{lep}}= $ 2, $ N_{\text{jet}}\ge $ 7, $ N_{\mathrm{b}}\le $ 2 for W+jets; and $ N_{\text{lep}}= $ 1, $ N_{\text{jet}}\ge $ 8, $ N_{\mathrm{b}}= $ 1 for $ {\mathrm{t}\overline{\mathrm{t}}} $. The simulation is normalized to data in all regions.

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Figure 4:
The $ \kappa $ factors measured in control regions for the QCD multijet (yellow left), W+jets (purple middle), and $ {\mathrm{t}\overline{\mathrm{t}}} $ (blue right) backgrounds. The upper and lower panels correspond to $ \kappa_1 $ and $ \kappa_2 $, respectively. In each case, the three points indicate the $ \kappa $ values in each $ N_{\text{jet}} $ bin. The error bars include the statistical uncertainties of data (dominant) and MC simulation samples.

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Figure 5:
Background-only post-fit $ M_{\mathrm{J}} $ distributions in the $ N_{\text{lep}}= $ 1 region for all three data-taking years, with pre-fit signal overlaid. The three $ M_{\mathrm{J}} $ bins used, defined as 500 $ < M_{\mathrm{J}} < $ 800, 800 $ < M_{\mathrm{J}} < $ 1100, and $ M_{\mathrm{J}} > $ 1100 GeV, are shown from left to right. The data-to-simulation ratio is shown in the lower panel, where the hatched band represents the total (statistical and systematic) uncertainty in the background prediction.

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Figure 6:
Cross section upper limits at 95% CL compared to the predicted cross section of gluino pair production with $ \mathrm{\widetilde{g}}\to\mathrm{t}\mathrm{b}\mathrm{s} $ (magenta). The theoretical uncertainties in the cross section are represented by the dotted band corresponding to ${\pm}$1 standard deviation (s.d.). The expected limits are shown by the black dashed line, with 68% and 95% CL variations indicated by the green inner and yellow outer bands, respectively. The observed limit is shown as a black solid line with dots.
Tables

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Table 1:
A diagram representing the analysis regions after the baseline selection. Here, ``CR'' denotes a control region and ``SR'' denotes a signal region. Darker yellow indicates regions where the $ M_{\mathrm{J}} $ template is used, while lighter yellow corresponds to regions where it is not used.

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Table 2:
Selection criteria applied for measuring the $ \kappa $ factors of the main backgrounds.

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Table 3:
Uncertainties in the $ \kappa $ factors for QCD multijet, W+jets, and $ {\mathrm{t}\overline{\mathrm{t}}} $ backgrounds in the three $ N_{\text{jet}} $ regions used in the global fit.

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Table 4:
List of signal systematic uncertainties and their effects on the yields in the $ N_{\text{jet}}\ge $ 8 and $ N_{\mathrm{b}}\ge $ 4 bin for all three years combined. The signal model corresponds to $ m_{\mathrm{\widetilde{g}}}= $ 1800 GeV.

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Table 5:
Background-only post-fit yields in the SR for all three data-taking years, with pre-fit signal yields. The uncertainty shown for total background corresponds to the post-fit uncertainty, while that for the signal is statistical only.
Summary
This analysis investigates the existence of physics beyond the standard model in events characterized by high multiplicities of jets and bottom quark (b) jets in the single-lepton final state, without a requirement on missing transverse momentum. The scalar sum of the large-radius jet masses ($ M_{\mathrm{J}} $) in an event is used for both background rejection and prediction. A simultaneous fit to the $ M_{\mathrm{J}} $ templates, in bins of jet multiplicity $ N_{\text{jet}} $ and the number of b-tagged jets $ N_{\mathrm{b}} $, is performed to extract potential excesses in data. The templates, derived from simulation, are corrected by measurements comparing data and simulation in dedicated control regions. This method enables a data-driven prediction of background across bins of $ N_{\text{jet}} $, $ N_{\mathrm{b}} $, and $ M_{\mathrm{J}} $. The observed event yields are consistent with the background predictions. The result is interpreted within the framework of $ R $-parity violating supersymmetry under the minimal flavor violating scenario. The search focuses on gluino pair production, where each gluino decays to a top, a bottom, and a strange quark via the $ \lambda^{\prime\prime}_{323} $ coupling. Using proton-proton collisions at $ \sqrt{s}= $ 13 TeV from the CERN LHC collected by the CMS experiment from 2016 to 2018 and corresponding to an integrated luminosity of 138 fb$ ^{-1} $, gluinos are excluded up to a mass of 1890 GeV at 95% confidence level. This result exceeds existing limits on the considered gluino pair production model.
References
1 R. Barbieri and G. F. Giudice Upper bounds on supersymmetric particle masses NPB 306 (1988) 63
2 G. 't Hooft Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking NATO Sci. Ser. B 59 (1980) 135
3 E. Witten Dynamical breaking of supersymmetry NPB 188 (1981) 513
4 M. Dine, W. Fischler, and M. Srednicki Supersymmetric technicolor NPB 189 (1981) 575
5 S. Dimopoulos and S. Raby Supercolor NPB 192 (1981) 353
6 S. Dimopoulos and H. Georgi Softly broken supersymmetry and SU(5) NPB 193 (1981) 150
7 R. K. Kaul and P. Majumdar Cancellation of quadratically divergent mass corrections in globally supersymmetric spontaneously broken gauge theories NPB 199 (1982) 36
8 H. P. Nilles Supersymmetry, supergravity and particle physics Phys. Rept. 110 (1984) 1
9 H. E. Haber and G. L. Kane The search for supersymmetry: probing physics beyond the standard model Phys. Rept. 117 (1985) 75
10 S. Dimopoulos, S. Raby, and F. Wilczek Supersymmetry and the scale of unification PRD 24 (1981) 1681
11 L. E. Ib \'a \ n ez and G. G. Ross Low-energy predictions in supersymmetric grand unified theories PLB 105 (1981) 439
12 M. B. Einhorn and D. R. T. Jones The weak mixing angle and unification mass in supersymmetric SU(5) NPB 196 (1982) 475
13 W. J. Marciano and G. Senjanovi \'c Predictions of supersymmetric grand unified theories PRD 25 (1982) 3092
14 G. R. Farrar and P. Fayet Phenomenology of the production, decay, and detection of new hadronic states associated with supersymmetry PLB 76 (1978) 575
15 R. Barbier et al. $ {R} $-parity-violating supersymmetry Phys. Rept. 420 (2005) 1
16 C. Cs \'a ki, Y. Grossman, and B. Heidenreich Minimal flavor violation supersymmetry: a natural theory for $ R $-parity violation PRD 85 (2012) 095009 1111.1239
17 Super-Kamiokande Collaboration Neutron-antineutron oscillation search using a 0.37 megaton-years exposure of super-kamiokande PRD 103 (2021) 012008 2012.02607
18 CMS Collaboration Search for $ R $-parity violating supersymmetry in pp collisions at $ \sqrt{s}= $ 13 TeV using b jets in a final state with a single lepton, many jets, and high sum of large-radius jet masses PLB 783 (2018) 114 CMS-SUS-16-040
1712.08920
19 CMS Collaboration Searches for $ R $-parity-violating supersymmetry in pp collisions at $ \sqrt{s} = $ 8 TeV in final states with 0-4 leptons PRD 94 (2016) 112009 CMS-SUS-14-003
1606.08076
20 ATLAS Collaboration Search for $ R $-parity-violating supersymmetry in a final state containing leptons and many jets with the ATLAS experiment using $ \sqrt{s} = $ 13 TeV proton-proton collision data EPJC 81 (2021) 1023 2106.09609
21 A. Hook, E. Izaguirre, M. Lisanti, and J. G. Wacker High multiplicity searches at the LHC using jet masses PRD 85 (2012) 055029 1202.0558
22 T. Cohen, E. Izaguirre, M. Lisanti, and H. K. Lou Jet substructure by accident JHEP 03 (2013) 161 1212.1456
23 S. El Hedri, A. Hook, M. Jankowiak, and J. G. Wacker Learning how to count: a high multiplicity search for the LHC JHEP 08 (2013) 136 1302.1870
24 ATLAS Collaboration Search for massive supersymmetric particles decaying to many jets using the ATLAS detector in pp collisions at $ \sqrt{s}= $ 8 TeV PRD 91 (2015) 112016 1502.05686
25 ATLAS Collaboration Search for new phenomena in final states with large jet multiplicities and missing transverse momentum at $ \sqrt{s}= $ 8 TeV proton-proton collisions using the ATLAS experiment JHEP 10 (2013) 130 1308.1841
26 CMS Collaboration Search for supersymmetry in pp collisions at $ \sqrt{s}= $ 13 TeV in the single-lepton final state using the sum of masses of large-radius jets JHEP 08 (2016) 122 CMS-SUS-15-007
1605.04608
27 CMS Collaboration Search for supersymmetry in $ pp $ collisions at $ \sqrt{s}= $ 13 TeV in the single-lepton final state using the sum of masses of large-radius jets PRL 119 (2017) 151802 CMS-SUS-16-037
1705.04673
28 CMS Collaboration HEPData record for this analysis link
29 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
30 CMS Collaboration CMS luminosity measurement for the 2017 data-taking period at $ \sqrt{s}= $ 13 TeV CMS Physics Analysis Summary, 2018
CMS-PAS-LUM-17-004
CMS-PAS-LUM-17-004
31 CMS Collaboration CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s}= $ 13 TeV CMS Physics Analysis Summary, 2018
CMS-PAS-LUM-18-002
CMS-PAS-LUM-18-002
32 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
33 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 JINST 19 (2024) P05064 CMS-PRF-21-001
2309.05466
34 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
35 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
36 CMS Collaboration Performance of the CMS high-level trigger during LHC Run 2 JINST 19 (2024) P11021 CMS-TRG-19-001
2410.17038
37 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
38 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
39 CMS Collaboration Description and performance of track and primary-vertex reconstruction with the CMS tracker JINST 9 (2014) P10009 CMS-TRK-11-001
1405.6569
40 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
41 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
42 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
43 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
44 T. Sjöstrand et al. An introduction to PYTHIA 8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
45 C. Duhr and B. Fuks A superspace module for the feynrules package Comput. Phys. Commun. 182 (2011) 2404 1102.4191
46 L. Darm é et al. Ufo 2.0: the `universal feynman output' format EPJC 83 (2023) 631 2304.09883
47 W. Beenakker et al. NNLL-fast 2.0: coloured sparticle production at the LHC Run 3 with $ \sqrt{s}= $ 13.6 TeV SciPost Phys. Core 7 (2024) 072 2404.18837
48 R. D. Ball et al. Parton distributions from high-precision collider data EPJC 77 (2017) 663
49 J. Alwall et al. Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions EPJC 53 (2008) 473 0706.2569
50 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
51 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
52 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
53 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
54 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_{\mathrm{T}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
55 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
56 M. Cacciari and G. P. Salam Pileup subtraction using jet areas PLB 659 (2008) 119 0707.1378
57 CMS Collaboration Jet algorithms performance in 13 TeV data technical report, 2017
CDS
58 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
59 K. Rehermann and B. Tweedie Efficient identification of boosted semileptonic top quarks at the LHC JHEP 03 (2011) 059 1007.2221
60 CMS Collaboration Search for direct pair production of supersymmetric top quarks decaying to all-hadronic final states in pp collisions at $ \sqrt{s}= $ 8 TeV EPJC 76 (2016) 460 CMS-SUS-13-023
1603.00765
61 ATLAS Collaboration Search for direct pair production of the top squark in all-hadronic final states in proton-proton collisions at $ \sqrt{s}= $ 8 TeV with the ATLAS detector JHEP 09 (2014) 015 1406.1122
62 CMS Collaboration Measurement of the cross section for $ \mathrm{t\bar{t}} $ production with additional jets and b jets in pp collisions at $ \sqrt{s} = $ 13 TeV JHEP 07 (2020) 125 CMS-TOP-18-002
2003.06467
63 CMS Collaboration The CMS statistical analysis and combination tool: COMBINE Comput. Softw. Big Sci. 8 (2024) 19 CMS-CAT-23-001
2404.06614
64 T. Junk Confidence level computation for combining searches with small statistics NIM A 434 (1999) 435 hep-ex/9902006
65 A. L. Read Presentation of search results: the $ CL_{s} $ technique JPG 28 (2002) 2693
66 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
Compact Muon Solenoid
LHC, CERN