CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-EXO-24-021
Search for new charged gauge bosons in the e/$ \mu $ + p$ _\mathrm{T}^\mathrm{miss} $ channel using pp collisions at $ \sqrt{s} = $ 13.6 TeV
Abstract: A search for physics beyond the standard model in final states with an electron or muon and missing transverse momentum is presented. The analysis uses data from proton-proton collisions at a centre-of-mass energy of 13.6 TeV, collected with the CMS detector at the LHC in 2022 and 2023 and corresponding to an integrated luminosity of 62 fb$ ^{-1} $. The study is performed assuming the production of a W$ ^{'} $ boson as predicted by the sequential standard model and decaying into a muon or electron plus imbalanced p$ _\mathrm{T} $ in the event. Model independent limits are also reported.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Product of acceptance times efficiency for the simulated SSM $ \mathrm{W^{'}} $ signal, as a function of the $ \mathrm{W^{'}} $ mass, after all selection criteria are applied for the electron (purple markers) and the muon (blue markers) decay channels. The drop in signal efficiency at higher $ \mathrm{W^{'}} $ masses comes from the kinematic properties of off-shell $ \mathrm{W^{'}} $ boson production. At larger mass scales, the cross-section becomes increasingly dominated by off-shell events that populate the low-mass region. Consequently, a substantial fraction of these events is suppressed by trigger and offline $ p_{\mathrm{T}} $ selection criteria, resulting in a lower overall efficiency as the $ \mathrm{W^{'}} $ mass increases.

png pdf
Figure 2:
Distributions for $ m_\mathrm{T} $ for the electron (left) and muon (right) decay channels for 2022 and 2023 data (black points) for a total integrated luminosity of $ {\cal L}=62 $fb$^{-1} $, together with the SM prediction (coloured histograms) after applying the complete selection criteria. Two signal distributions are presented, with contributions normalized to the data luminosity analyzed, corresponding to SSM $ \mathrm{W^{'}} $ boson masses of 3.6 and 5.6 TeV. The lower panels show the ratios of data to the SM prediction, and the shaded bands represent the per bin statistical plus systematic uncertainties.

png pdf
Figure 2-a:
Distributions for $ m_\mathrm{T} $ for the electron (left) and muon (right) decay channels for 2022 and 2023 data (black points) for a total integrated luminosity of $ {\cal L}=62 $fb$^{-1} $, together with the SM prediction (coloured histograms) after applying the complete selection criteria. Two signal distributions are presented, with contributions normalized to the data luminosity analyzed, corresponding to SSM $ \mathrm{W^{'}} $ boson masses of 3.6 and 5.6 TeV. The lower panels show the ratios of data to the SM prediction, and the shaded bands represent the per bin statistical plus systematic uncertainties.

png pdf
Figure 2-b:
Distributions for $ m_\mathrm{T} $ for the electron (left) and muon (right) decay channels for 2022 and 2023 data (black points) for a total integrated luminosity of $ {\cal L}=62 $fb$^{-1} $, together with the SM prediction (coloured histograms) after applying the complete selection criteria. Two signal distributions are presented, with contributions normalized to the data luminosity analyzed, corresponding to SSM $ \mathrm{W^{'}} $ boson masses of 3.6 and 5.6 TeV. The lower panels show the ratios of data to the SM prediction, and the shaded bands represent the per bin statistical plus systematic uncertainties.

png pdf
Figure 3:
Observed (solid line) and expected (dashed line) upper limits at 95% CL on the product $ \sigma_{\mathrm{W^{'}}} \mathcal{B}(\mathrm{W^{'}} \rightarrow\ell\nu) $ for an SSM $ \mathrm{W^{'}} $ model as a function of $ \mathrm{W^{'}} $ boson mass, derived for the electron (top left) and muon (top right) decay channels, and the combination of both channels (bottom) using 2022 and 2023 collected data. The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical prediction for SSM at NNLO-QCD level is shown (blue line) with a narrow gray band corresponding to the PDF and $ \alpha_{s} $ uncertainties.

png pdf
Figure 3-a:
Observed (solid line) and expected (dashed line) upper limits at 95% CL on the product $ \sigma_{\mathrm{W^{'}}} \mathcal{B}(\mathrm{W^{'}} \rightarrow\ell\nu) $ for an SSM $ \mathrm{W^{'}} $ model as a function of $ \mathrm{W^{'}} $ boson mass, derived for the electron (top left) and muon (top right) decay channels, and the combination of both channels (bottom) using 2022 and 2023 collected data. The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical prediction for SSM at NNLO-QCD level is shown (blue line) with a narrow gray band corresponding to the PDF and $ \alpha_{s} $ uncertainties.

png pdf
Figure 3-b:
Observed (solid line) and expected (dashed line) upper limits at 95% CL on the product $ \sigma_{\mathrm{W^{'}}} \mathcal{B}(\mathrm{W^{'}} \rightarrow\ell\nu) $ for an SSM $ \mathrm{W^{'}} $ model as a function of $ \mathrm{W^{'}} $ boson mass, derived for the electron (top left) and muon (top right) decay channels, and the combination of both channels (bottom) using 2022 and 2023 collected data. The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical prediction for SSM at NNLO-QCD level is shown (blue line) with a narrow gray band corresponding to the PDF and $ \alpha_{s} $ uncertainties.

png pdf
Figure 3-c:
Observed (solid line) and expected (dashed line) upper limits at 95% CL on the product $ \sigma_{\mathrm{W^{'}}} \mathcal{B}(\mathrm{W^{'}} \rightarrow\ell\nu) $ for an SSM $ \mathrm{W^{'}} $ model as a function of $ \mathrm{W^{'}} $ boson mass, derived for the electron (top left) and muon (top right) decay channels, and the combination of both channels (bottom) using 2022 and 2023 collected data. The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical prediction for SSM at NNLO-QCD level is shown (blue line) with a narrow gray band corresponding to the PDF and $ \alpha_{s} $ uncertainties.

png pdf
Figure 4:
The 95% CL observed (solid line) and expected (dashed line) model-independent cross section limits as a function of the $ M_\mathrm{T}^\mathrm{min} $ threshold for the electron decay channel (top left) and the muon decay channel (top right). The limits correspond to an integrated luminosity of 62 fb$ ^{-1} $. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The lower plot shows the limits for the combination of both decay channels.

png pdf
Figure 4-a:
The 95% CL observed (solid line) and expected (dashed line) model-independent cross section limits as a function of the $ M_\mathrm{T}^\mathrm{min} $ threshold for the electron decay channel (top left) and the muon decay channel (top right). The limits correspond to an integrated luminosity of 62 fb$ ^{-1} $. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The lower plot shows the limits for the combination of both decay channels.

png pdf
Figure 4-b:
The 95% CL observed (solid line) and expected (dashed line) model-independent cross section limits as a function of the $ M_\mathrm{T}^\mathrm{min} $ threshold for the electron decay channel (top left) and the muon decay channel (top right). The limits correspond to an integrated luminosity of 62 fb$ ^{-1} $. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The lower plot shows the limits for the combination of both decay channels.

png pdf
Figure 4-c:
The 95% CL observed (solid line) and expected (dashed line) model-independent cross section limits as a function of the $ M_\mathrm{T}^\mathrm{min} $ threshold for the electron decay channel (top left) and the muon decay channel (top right). The limits correspond to an integrated luminosity of 62 fb$ ^{-1} $. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The lower plot shows the limits for the combination of both decay channels.

png pdf
Figure 5:
Observed (solid line) and expected (dashed line) upper limits at 95% CL on the coupling strength ratio, $ g_{\mathrm{W^{'}}}/g_{\mathrm{W}} $ as a function of the mass of the $ \mathrm{W^{'}} $ boson. They are shown for the electron (left) and muon (right) channels. The one and two standard deviation uncertainty bands for the expected limits are shown. The area above the limit curve is excluded. The dotted line represents the case of the SSM $ \mathrm{W^{'}} $ coupling, $ g_{\mathrm{W^{'}}} $, being equal to $ g_{\mathrm{W}} $, the SM coupling.

png pdf
Figure 5-a:
Observed (solid line) and expected (dashed line) upper limits at 95% CL on the coupling strength ratio, $ g_{\mathrm{W^{'}}}/g_{\mathrm{W}} $ as a function of the mass of the $ \mathrm{W^{'}} $ boson. They are shown for the electron (left) and muon (right) channels. The one and two standard deviation uncertainty bands for the expected limits are shown. The area above the limit curve is excluded. The dotted line represents the case of the SSM $ \mathrm{W^{'}} $ coupling, $ g_{\mathrm{W^{'}}} $, being equal to $ g_{\mathrm{W}} $, the SM coupling.

png pdf
Figure 5-b:
Observed (solid line) and expected (dashed line) upper limits at 95% CL on the coupling strength ratio, $ g_{\mathrm{W^{'}}}/g_{\mathrm{W}} $ as a function of the mass of the $ \mathrm{W^{'}} $ boson. They are shown for the electron (left) and muon (right) channels. The one and two standard deviation uncertainty bands for the expected limits are shown. The area above the limit curve is excluded. The dotted line represents the case of the SSM $ \mathrm{W^{'}} $ coupling, $ g_{\mathrm{W^{'}}} $, being equal to $ g_{\mathrm{W}} $, the SM coupling.
Tables

png pdf
Table 1:
The 95% CL observed (expected) limits for the product $ \sigma_{\mathrm{W^{'}}} \mathcal{B}(\mathrm{W^{'}} \rightarrow\ell\nu) $ for the production and decay of a SSM $ \mathrm{W^{'}} $ boson, derived from the data collected each year, for the electron and muon channels and their combination. The corresponding Run2 limits as published in [none-none-none] are shown for comparison.
Summary
A search for new physics based on the high-$ m_\mathrm{T} $ region of single lepton (electron or muon) and missing transverse momentum final states, has been performed using the proton proton collision data collected during 2022 and 2023 at $ \sqrt{s}= $ 13.6 TeV, corresponding to an integrated luminosity of 62 fb$ ^{-1} $. No evidence for new physics is observed. These observations are interpreted as limits on the parameters of $ \mathrm{W^{'}} $ bosons as predicted by the sequential standard model (SSM). The exclusion limits at 95% CL on the $ \mathrm{W^{'}} $ mass are found to be 5.7 and 5.6 TeV for the electron and muon channels, respectively. The 95% CL exclusion limit from the combination of both channels is 5.9 TeV. Variations in the coupling strength of the SSM $ \mathrm{W^{'}} $ bosons are also studied. Models for which the ratio of the coupling strength of the $ \mathrm{W^{'}} $ boson to the SM W boson is at the level of 2 $ \times10^{-2} $ are excluded for $ \mathrm{W^{'}} $ masses up to 0.5 TeV. For higher masses the constraint on the coupling weakens, approaching $ g_{\mathrm{W^{'}}}/g_{\mathrm{W}} = $ 1 at the value of the $ \mathrm{W^{'}} $ mass corresponding to the exclusion limit obtained in the SSM analysis. Model-independent limits are also provided that can be used to constrain parameters of several models through reinterpretations.
References
1 R. N. Mohapatra and J. C. Pati A ``Natural'' left-right symmetry PRD 11 (1975) 2558
2 R. N. Mohapatra and J. C. Pati Left-right gauge symmetry and an ``isoconjugate'' model of $ \mathrm{CP} $ violation PRD 11 (1975) 566
3 J. C. Pati and A. Salam Lepton number as the fourth color Physical Review D 10 (1974) 275
4 G. Senjanovic and R. N. Mohapatra Exact left-right symmetry and spontaneous violation of parity Physical Review D 12 (1975) 1502
5 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
6 G. Altarelli, B. Mele, and M. Ruiz-Altaba Searching for new heavy vector bosons in $ \mathrm{p}\overline{\mathrm{p}} $ colliders Z. Phys. C 45 (1989) 109
7 ATLAS Collaboration ATLAS search for a heavy gauge boson decaying to a charged lepton and a neutrino in pp collisions at $ \sqrt{s}= $ 7 TeV EPJC 72 (2012) 2241 1209.4446
8 CMS Collaboration Search for leptonic decays of $ \mathrm{W^{'}} $ bosons in pp collisions at $ \sqrt{s}= $ 7 TeV JHEP 08 (2012) 023 CMS-EXO-11-024
1204.4764
9 ATLAS Collaboration Search for new particles in events with one lepton and missing transverse momentum in pp collisions at $ \sqrt{s}= $ 8 TeV with the ATLAS detector JHEP 09 (2014) 037 1407.7494
10 CMS Collaboration Search for physics beyond the standard model in final states with a lepton and missing transverse energy in proton-proton collisions at $ \sqrt{s}= $ 8 TeV PRD 91 (2015) 092005 CMS-EXO-12-060
1408.2745
11 ATLAS Collaboration Search for a new heavy gauge boson resonance decaying into a lepton and missing transverse momentum in 36 fb$^{-1}$ of pp collisions at $ \sqrt{s}= $ 13 TeV with the ATLAS experiment EPJC 78 (2018) 401 1706.04786
12 CMS Collaboration Search for heavy gauge $ \mathrm{W^{'}} $ boson in events with an energetic lepton and large missing transverse momentum at $ \sqrt{s}= $ 13 TeV PLB 770 (2017) 278 CMS-EXO-15-006
1612.09274
13 CMS Collaboration Search for high-mass resonances in final states with a lepton and missing transverse momentum at $ \sqrt{s}= $ 13 TeV JHEP 06 (2018) 128 CMS-EXO-16-033
1803.11133
14 ATLAS Collaboration Search for a heavy charged boson in events with a charged lepton and missing transverse momentum from pp collisions at $ \sqrt{s}= $ 13 TeV with the ATLAS detector PRD 100 (2019) 052013 1906.05609
15 CMS Collaboration Search for new physics in the lepton plus missing transverse momentum final state in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 2022 (2022) no. 7, 2022 CMS-EXO-19-017
2202.06075
16 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
17 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 JINST 19 (2024) P05064
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 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
20 CMS Collaboration Performance of the CMS high-level trigger during LHC Run 2 JINST 19 (2024) P11021 CMS-TRG-19-001
2410.17038
21 J. Alwall et al. MadGraph 5: going beyond JHEP 06 (2011) 128 1106.0522
22 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
23 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
24 R. Vogt The usage of the K factor in heavy ion physics Acta Phys. Hung. A 17 (2003) 75 hep-ph/0207359
25 Y. Li and F. Petriello Combining QCD and electroweak corrections to dilepton production in FEWZ PRD 86 (2012) 094034 1208.5967
26 J. Alwall, S. Hoech, F. Krauss, and et al Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions Eur.Phys.J.C 53 (2008) 473 0706.2569
27 T. Sjöstrand et al. An introduction to PYTHIA 8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
28 A. Arbuzov et al. Update of the MCSANC Monte Carlo integrator, v. 1.20 JETP Lett. 103 (2016) no. 2, 131--136 1509.03052
29 S. Alioli et al. Precision studies of observables in $ p p \rightarrow W \rightarrow l\nu _l $ and $ pp \rightarrow \gamma,Z \rightarrow l^+ l^- $ processes at the LHC Eur. Phys. J. C77, no. 5, 280, 2017 1606.02330
30 F. Buccioni and et al. Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region Journal of High Energy Physics 202 (2022) 2
31 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
32 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
33 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
34 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
35 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
36 M. Czakon, P. Fiedler, and A. Mitov Total top-quark pair-production cross section at hadron colliders through $ \mathcal{O}({\alpha}_{S}^{4}) $ PRL 110 (2013) 252004 1303.6254
37 M. Czakon et al. Top-pair production at the LHC through NNLO QCD and NLO EW JHEP 10 (2017) 186 1705.04105
38 T. Gehrmann et al. $ {\mathrm{W}^{+}\mathrm{W}^{-}} $ production at hadron colliders in Next-to-next-to-leading order QCD PRL 113 (2014) 212001 1408.5243
39 J. M. Campbell, R. K. Ellis, and C. Williams Vector boson pair production at the LHC JHEP 07 (2011) 018 1105.0020
40 F. Cascioli et al. ZZ production at hadron colliders in NNLO QCD PLB 735 (2014) 311
41 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
42 J. Allison et al. Recent developments in GEANT 4 NIM A 835 (2016) 186
43 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
44 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
45 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
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) no. 06, P06015
48 CMS Collaboration Performance of the reconstruction and identification of high-momentum muons in proton-proton collisions at sqrt(s) = 13 TeV JINST 15 (2020) no. 02, P0
49 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_{\mathrm{T}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
50 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
51 CMS Collaboration Pileup mitigation at CMS in 13 TeV data JINST 15 (2020) P09018 CMS-JME-18-001
2003.00503
52 D. Bertolini, P. Harris, M. Low, and N. Tran Pileup per particle identification JHEP 10 (2014) 059 1407.6013
53 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
54 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
55 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
56 CMS Collaboration Measurement of the inclusive W and Z production cross sections in pp collisions at $ \sqrt{s}= $ 7 TeV JHEP 10 (2011) 132 CMS-EWK-10-005
1107.4789
57 CMS Collaboration Muon ID and Isolation efficiencies with muons in proton-proton collisions at sqrt(s) = 13.6 TeV CMS Detector Performance Summary CERN-CMS-DP-2024-067, 2024
CDS
58 CMS Collaboration Muon momentum calibration with proton-proton collisions at sqrt(s) = 13.6 TeV CMS Detector Performance Summary CERN-CMS-DP-2024-065, 2024
CDS
59 CMS Collaboration Luminosity measurement in proton-proton collisions at sqrt(s) = 13.6 TeV in 2022 at CMS CMS Physics Analysis Summary, 2024
CMS-PAS-LUM-22-001
CMS-PAS-LUM-22-001
60 CMS Collaboration Measurement of the offline integrated luminosity for the cms pp collision dataset recorded in 2023 CMS Detector Performance Summary CERN-CMS-2024-068, CMS-DP-2024-068, 2024
CDS
61 J. Butterworth et al. PDF4LHC recommendations for LHC Run II 1510.03865
62 Particle Data Group Collaboration Review of particle physics Chin. Phys. C 40 (2016) 100001
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 W. Verkerke and D. P. Kirkby The RooFit toolkit for data modeling eConf C0303241 MOLT007, 2003 physics/0306116
65 L. Moneta et al. The RooStats Project PoS ACAT 057, 2010 1009.1003
Compact Muon Solenoid
LHC, CERN