CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-EXO-21-015 ; CERN-EP-2024-326
Search for a neutral gauge boson with nonuniversal fermion couplings in vector boson fusion processes in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Submitted to Phys. Rev. Lett.
Abstract: The first search for a heavy neutral spin-1 gauge boson (Z') with nonuniversal fermion couplings produced via vector boson fusion processes and decaying to tau leptons or W bosons is presented. The analysis is performed using LHC data at $ \sqrt{s} = $ 13 TeV, collected from 2016 to 2018 and corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The data are consistent with the standard model predictions. Upper limits are set on the product of the cross section for production of the Z' boson and its branching fraction to $ \tau\tau $ or WW. The presence of a Z' boson decaying to $ \tau^{+}\tau^{-} $ (W$^{+}$W$^{-}$) is excluded for masses up to 2.45 (1.60) TeV, depending on the Z' boson coupling to SM weak bosons, and assuming a $ {\mathrm{Z}^{'}} \to\tau^{+}\tau^{-} $ (W$^{+}$W$^{-}$) branching fraction of 50%.
Figures Summary References CMS Publications
Figures

png pdf
Figure 1:
Observed $ m(\ell_{1},\ell_{2},p_{\mathrm{T}}^\text{miss}) $ for the data, and the post-fit backgrounds (stacked histograms), in the signal region for the $ \mu\tau_\mathrm{h} $ (upper left), $ \mathrm{e}\tau_\mathrm{h} $ (upper right), $ \tau_\mathrm{h}\tau_\mathrm{h} $ (lower left), and $ \mathrm{e}\mu $ (lower right) channels. The lower panels show ratios of the data to the pre-fit background prediction and post-fit background yields as red open squares and blue points, respectively. The gray band in the lower panels indicates the systematic component of the post-fit uncertainty. The dashed lines correspond to the signal expectation for Z' boson masses of 1 TeV (black) and 2.5 TeV (magenta) decaying to $ \tau^{+}\tau^{-} $, normalized to cross sections of 199.4 fb and 0.7504 fb respectively. The dashed brown line corresponds to a Z' boson mass of 1.25 TeV decaying to W$^{+}$W$^{-}$, normalized to a cross section of 61.14 fb. The signal cross sections correspond to $ \{\kappa_{\mathrm{V}},g_{3},g_{1,\,2} \} = \{ 1,1,0\} $.

png pdf
Figure 1-a:
Observed $ m(\ell_{1},\ell_{2},p_{\mathrm{T}}^\text{miss}) $ for the data, and the post-fit backgrounds (stacked histograms), in the signal region for the $ \mu\tau_\mathrm{h} $ (upper left), $ \mathrm{e}\tau_\mathrm{h} $ (upper right), $ \tau_\mathrm{h}\tau_\mathrm{h} $ (lower left), and $ \mathrm{e}\mu $ (lower right) channels. The lower panels show ratios of the data to the pre-fit background prediction and post-fit background yields as red open squares and blue points, respectively. The gray band in the lower panels indicates the systematic component of the post-fit uncertainty. The dashed lines correspond to the signal expectation for Z' boson masses of 1 TeV (black) and 2.5 TeV (magenta) decaying to $ \tau^{+}\tau^{-} $, normalized to cross sections of 199.4 fb and 0.7504 fb respectively. The dashed brown line corresponds to a Z' boson mass of 1.25 TeV decaying to W$^{+}$W$^{-}$, normalized to a cross section of 61.14 fb. The signal cross sections correspond to $ \{\kappa_{\mathrm{V}},g_{3},g_{1,\,2} \} = \{ 1,1,0\} $.

png pdf
Figure 1-b:
Observed $ m(\ell_{1},\ell_{2},p_{\mathrm{T}}^\text{miss}) $ for the data, and the post-fit backgrounds (stacked histograms), in the signal region for the $ \mu\tau_\mathrm{h} $ (upper left), $ \mathrm{e}\tau_\mathrm{h} $ (upper right), $ \tau_\mathrm{h}\tau_\mathrm{h} $ (lower left), and $ \mathrm{e}\mu $ (lower right) channels. The lower panels show ratios of the data to the pre-fit background prediction and post-fit background yields as red open squares and blue points, respectively. The gray band in the lower panels indicates the systematic component of the post-fit uncertainty. The dashed lines correspond to the signal expectation for Z' boson masses of 1 TeV (black) and 2.5 TeV (magenta) decaying to $ \tau^{+}\tau^{-} $, normalized to cross sections of 199.4 fb and 0.7504 fb respectively. The dashed brown line corresponds to a Z' boson mass of 1.25 TeV decaying to W$^{+}$W$^{-}$, normalized to a cross section of 61.14 fb. The signal cross sections correspond to $ \{\kappa_{\mathrm{V}},g_{3},g_{1,\,2} \} = \{ 1,1,0\} $.

png pdf
Figure 1-c:
Observed $ m(\ell_{1},\ell_{2},p_{\mathrm{T}}^\text{miss}) $ for the data, and the post-fit backgrounds (stacked histograms), in the signal region for the $ \mu\tau_\mathrm{h} $ (upper left), $ \mathrm{e}\tau_\mathrm{h} $ (upper right), $ \tau_\mathrm{h}\tau_\mathrm{h} $ (lower left), and $ \mathrm{e}\mu $ (lower right) channels. The lower panels show ratios of the data to the pre-fit background prediction and post-fit background yields as red open squares and blue points, respectively. The gray band in the lower panels indicates the systematic component of the post-fit uncertainty. The dashed lines correspond to the signal expectation for Z' boson masses of 1 TeV (black) and 2.5 TeV (magenta) decaying to $ \tau^{+}\tau^{-} $, normalized to cross sections of 199.4 fb and 0.7504 fb respectively. The dashed brown line corresponds to a Z' boson mass of 1.25 TeV decaying to W$^{+}$W$^{-}$, normalized to a cross section of 61.14 fb. The signal cross sections correspond to $ \{\kappa_{\mathrm{V}},g_{3},g_{1,\,2} \} = \{ 1,1,0\} $.

png pdf
Figure 1-d:
Observed $ m(\ell_{1},\ell_{2},p_{\mathrm{T}}^\text{miss}) $ for the data, and the post-fit backgrounds (stacked histograms), in the signal region for the $ \mu\tau_\mathrm{h} $ (upper left), $ \mathrm{e}\tau_\mathrm{h} $ (upper right), $ \tau_\mathrm{h}\tau_\mathrm{h} $ (lower left), and $ \mathrm{e}\mu $ (lower right) channels. The lower panels show ratios of the data to the pre-fit background prediction and post-fit background yields as red open squares and blue points, respectively. The gray band in the lower panels indicates the systematic component of the post-fit uncertainty. The dashed lines correspond to the signal expectation for Z' boson masses of 1 TeV (black) and 2.5 TeV (magenta) decaying to $ \tau^{+}\tau^{-} $, normalized to cross sections of 199.4 fb and 0.7504 fb respectively. The dashed brown line corresponds to a Z' boson mass of 1.25 TeV decaying to W$^{+}$W$^{-}$, normalized to a cross section of 61.14 fb. The signal cross sections correspond to $ \{\kappa_{\mathrm{V}},g_{3},g_{1,\,2} \} = \{ 1,1,0\} $.

png pdf
Figure 2:
Combined 95% CL lower limits on $ m_{{\mathrm{Z}^{'}} } $ as a function of the Z' branching fraction to $ \tau^{+}\tau^{-} $ (upper row) and W$^{+}$W$^{-}$ (lower row) for the $ g_{1,\,2} = $ 0 (left column) and $ g_{1,\,2} = $ 1 (right column) scenario. The red, green, and blue curves show the observed limits corresponding to $ \kappa_{\mathrm{V}} $ equal to 0.1, 0.5, and 1, respectively. The dashed curves and shaded bands show the expected limits with their 68% CL percentile bands.

png pdf
Figure 2-a:
Combined 95% CL lower limits on $ m_{{\mathrm{Z}^{'}} } $ as a function of the Z' branching fraction to $ \tau^{+}\tau^{-} $ (upper row) and W$^{+}$W$^{-}$ (lower row) for the $ g_{1,\,2} = $ 0 (left column) and $ g_{1,\,2} = $ 1 (right column) scenario. The red, green, and blue curves show the observed limits corresponding to $ \kappa_{\mathrm{V}} $ equal to 0.1, 0.5, and 1, respectively. The dashed curves and shaded bands show the expected limits with their 68% CL percentile bands.

png pdf
Figure 2-b:
Combined 95% CL lower limits on $ m_{{\mathrm{Z}^{'}} } $ as a function of the Z' branching fraction to $ \tau^{+}\tau^{-} $ (upper row) and W$^{+}$W$^{-}$ (lower row) for the $ g_{1,\,2} = $ 0 (left column) and $ g_{1,\,2} = $ 1 (right column) scenario. The red, green, and blue curves show the observed limits corresponding to $ \kappa_{\mathrm{V}} $ equal to 0.1, 0.5, and 1, respectively. The dashed curves and shaded bands show the expected limits with their 68% CL percentile bands.

png pdf
Figure 2-c:
Combined 95% CL lower limits on $ m_{{\mathrm{Z}^{'}} } $ as a function of the Z' branching fraction to $ \tau^{+}\tau^{-} $ (upper row) and W$^{+}$W$^{-}$ (lower row) for the $ g_{1,\,2} = $ 0 (left column) and $ g_{1,\,2} = $ 1 (right column) scenario. The red, green, and blue curves show the observed limits corresponding to $ \kappa_{\mathrm{V}} $ equal to 0.1, 0.5, and 1, respectively. The dashed curves and shaded bands show the expected limits with their 68% CL percentile bands.

png pdf
Figure 2-d:
Combined 95% CL lower limits on $ m_{{\mathrm{Z}^{'}} } $ as a function of the Z' branching fraction to $ \tau^{+}\tau^{-} $ (upper row) and W$^{+}$W$^{-}$ (lower row) for the $ g_{1,\,2} = $ 0 (left column) and $ g_{1,\,2} = $ 1 (right column) scenario. The red, green, and blue curves show the observed limits corresponding to $ \kappa_{\mathrm{V}} $ equal to 0.1, 0.5, and 1, respectively. The dashed curves and shaded bands show the expected limits with their 68% CL percentile bands.
Summary
In summary, a first search for a heavy neutral spin-1 gauge boson Z' produced via vector boson fusion processes has been performed using data collected by the CMS experiment, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The search considers nonuniversal couplings of Z' bosons to fermions, including scenarios with dominant couplings to the third generation. Two decay channels, $ {\mathrm{Z}^{'}} \to\tau^{+}\tau^{-} $ and $ {\mathrm{Z}^{'}} \to\mathrm{W^+}\mathrm{W^-} $, are investigated. The invariant mass of the dilepton pair plus missing transverse momentum is used to search for the presence of a signal as a broad enhancement above the background expectation. The data are found to be in agreement with standard model predictions. In Z' models with nonuniversal fermion couplings, in particular those with Z' bosons having enhanced couplings to the third generation, the presence of Z' bosons decaying to a $ \tau $ lepton (W boson) pair is excluded for Z' masses up to 2.45 (1.60) TeV, depending on the Z' boson coupling to SM weak bosons and assuming a $ {\mathrm{Z}^{'}} \to\tau^{+}\tau^{-} $ (W$^{+}$W$^{-}$) branching fraction of 50%. These are the first limits on these models to date.
References
1 LHCb Collaboration Measurement of the ratios of branching fractions $ \mathcal{R}(D^{*}) $ and $ \mathcal{R}(D^{0}) $ PRL 131 (2023) 111802 2302.02886
2 Muon g$-$2 Collaboration Measurement of the positive muon anomalous magnetic moment to 0.46 ppm PRL 126 (2021) 141801 2104.03281
3 Muon g$-$2 Collaboration Measurement of the positive muon anomalous magnetic moment to 0.20 ppm PRL 131 (2023) 161802 2308.06230
4 W. Altmannshofer and P. Stangl New physics in rare B decays after Moriond 2021 EPJC 81 (2021) 952 2103.13370
5 A. Das, P. S. B. Dev, Y. Hosotani, and S. Mandal Probing the minimal $ U(1)_X $ model at future electron-positron colliders via fermion pair-production channels PRD 105 (2022) 115030 2104.10902
6 B. Allanach LHC di-lepton searches for $ Z^\prime $ bosons which explain measurements of $ b \rightarrow s l^+l^- $ transitions PLB 858 (2024) 139055 2404.14748
7 C. T. Hill Topcolor assisted technicolor PLB 345 (1995) 483 hep-ph/9411426
8 L. Randall and R. Sundrum A large mass hierarchy from a small extra dimension PRL 83 (1999) 3370 hep-ph/9905221
9 L. Randall and R. Sundrum An alternative to compactification PRL 83 (1999) 4690 hep-th/9906064
10 H. Davoudiasl, J. L. Hewett, and T. G. Rizzo Experimental probes of localized gravity: on and off the wall PRD 63 (2001) 075004 hep-ph/0006041
11 P. K. Mohapatra, R. N. Mohapatra, and P. B. Pal Implications of $ E(6) $ grand unification PRD 33 (1986) 2010
12 D. London and J. L. Rosner Extra gauge bosons in $ E(6) $ PRD 34 (1986) 1530
13 D0 Collaboration Search for additional neutral gauge bosons PLB 385 (1996) 471
14 D0 Collaboration Search for a heavy neutral gauge boson in the dielectron channel with 5.4 fb$ ^{-1} $ of $ \textrm{p}\bar{\textrm{p}} $ collisions at $ \sqrt{s} = $ 1.96 TeV PLB 695 (2011) 88 1008.2023
15 CDF Collaboration Search for high mass resonances decaying to muon pairs in $ \sqrt{s}= $ 1.96 TeV $ \textrm{p}\bar{\textrm{p}} $ Collisions PRL 106 (2011) 121801 1101.4578
16 CMS Collaboration Search for high-mass resonances decaying into $ \tau $-lepton pairs in pp collisions at $ \sqrt{s}= $ 7 TeV PLB 716 (2012) 82 CMS-EXO-11-031
1206.1725
17 CMS Collaboration Search for heavy narrow dilepton resonances in pp collisions at $ \sqrt{s}= $ 7 TeV and $ \sqrt{s}= $ 8 TeV PLB 720 (2013) 63 CMS-EXO-12-015
1212.6175
18 CMS Collaboration Search for narrow resonances in dilepton mass spectra in proton-proton collisions at $ \sqrt{s} = $ 13 TeV and combination with 8 TeV data PLB 768 (2017) 57 CMS-EXO-15-005
1609.05391
19 CMS Collaboration Search for heavy resonances decaying to tau lepton pairs in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JHEP 02 (2017) 048 CMS-EXO-16-008
1611.06594
20 ATLAS Collaboration Search for high-mass dilepton resonances using 139 fb$ ^{-1} $ of pp collision data collected at $ \sqrt{s}= $ 13 TeV with the ATLAS detector PLB 796 (2019) 68 1903.06248
21 CMS Collaboration Search for resonant and nonresonant new phenomena in high-mass dilepton final states at $ \sqrt{s} = $ 13 TeV JHEP 07 (2021) 208 CMS-EXO-19-019
2103.02708
22 D. A. Faroughy, A. Greljo, and J. F. Kamenik Confronting lepton flavor universality violation in B decays with high-$ p_T $ tau lepton searches at LHC PLB 764 (2017) 126 1609.07138
23 P. Langacker The physics of heavy $ Z^\prime $ gauge bosons Rev. Mod. Phys. 81 (2009) 1199 0801.1345
24 K. R. Lynch, E. H. Simmons, M. Narain, and S. Mrenna Finding $ Z^\prime $ bosons coupled preferentially to the third family at LEP and the Tevatron PRD 63 (2001) 035006 hep-ph/0007286
25 A. Flórez et al. Searching for new heavy neutral gauge bosons using vector boson fusion processes at the LHC PLB 767 (2017) 126 1609.09765
26 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
27 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
28 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
29 CMS Collaboration Performance of the CMS high-level trigger during LHC Run 2 JINST 19 (2024) P11021 CMS-TRG-19-001
2410.17038
30 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
31 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
32 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
33 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
34 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
35 CMS Collaboration Pileup mitigation at CMS in 13 TeV data JINST 15 (2020) P09018 CMS-JME-18-001
2003.00503
36 D. Bertolini, P. Harris, M. Low, and N. Tran Pileup per particle identification JHEP 10 (2014) 059 1407.6013
37 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_{\mathrm{T}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
38 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
39 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
40 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
41 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
42 CMS Collaboration Performance of reconstruction and identification of $ \tau $ leptons decaying to hadrons and $ \nu_\tau $ in pp collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) P10005 CMS-TAU-16-003
1809.02816
43 CMS Collaboration Identification of hadronic tau lepton decays using a deep neural network JINST 17 (2022) P07023 CMS-TAU-20-001
2201.08458
44 CMS Collaboration Tau reconstruction and identification with particle-flow techniques using the CMS detector at LHC Nucl. Phys. B Proc. Suppl. 189 (2009) 311
45 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
46 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
47 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
48 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
49 T. Sjöstrand et al. An introduction to PYTHIA 8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
50 CMS Collaboration Electroweak production of two jets in association with a Z boson in proton-proton collisions at $ \sqrt{s} = $ 13 TeV EPJC 78 (2018) 589 CMS-SMP-16-018
1712.09814
51 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
52 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
53 NNPDF Collaboration Parton distributions for the LHC run II JHEP 04 (2015) 040 1410.8849
54 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
55 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
56 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
57 CMS Collaboration CMS luminosity measurement for the 2017 data-taking period at $ \sqrt{s} = $ 13 TeV CMS Physics Analysis Summary, 2018
link
CMS-PAS-LUM-17-004
58 CMS Collaboration CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s} = $ 13 TeV CMS Physics Analysis Summary, 2019
link
CMS-PAS-LUM-18-002
59 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
60 P. M. Nadolsky et al. Implications of CTEQ global analysis for collider observables PRD 78 (2008) 013004 0802.0007
61 A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt Update of parton distributions at NNLO PLB 652 (2007) 292 0706.0459
62 M. Ubiali NNPDF1.0 parton set for the LHC Nucl. Phys. Proc. Suppl. 186 (2009) 62 0809.3716
63 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
64 T. Junk Confidence level computation for combining searches with small statistics NIM A 434 (1999) 435
65 A. L. Read Presentation of search results: the $ CL_s $ technique JPG 28 (2002) 2693
66 CMS Collaboration The CMS statistical analysis and combination tool: \textscCombine Comput. Softw. Big Sci. 8 (2024) 19 CMS-CAT-23-001
2404.06614
67 CMS Collaboration HEPData record for this analysis link
Compact Muon Solenoid
LHC, CERN