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CMS-SUS-23-013 ; CERN-EP-2026-087
Search for dark matter produced in association with a dark Higgs boson decaying into a bottom quark-antiquark pair in proton-proton collisions at $ \sqrt{s}= $ 13 TeV
Submitted to the European Physical Journal C
Abstract: A search for dark matter produced in association with a dark Higgs boson decaying into a bottom quark-antiquark pair has been performed using proton-proton collision data at a center-of-mass energy of 13 TeV. The search uses data collected with the CMS detector at the CERN LHC during the 2016--2018 data-taking period, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The results are interpreted in terms of a theoretical model of dark matter production that, together with a spin-1 gauge boson mediator, predicts the existence of a Higgs-boson-like particle in the dark sector (i.e., a dark Higgs boson). This search focuses on an experimental signature with large missing transverse momentum from dark matter production and a resonant structure in the invariant mass of the bottom quark-antiquark pair from the dark Higgs boson decay. Upper limits at 95% confidence level on the signal strength for dark Higgs boson mass hypotheses below 160 GeV are set. Values of the mediator mass up to 4.5 (2.5) TeV are excluded at 95% confidence level for a dark Higgs boson mass of 50 (150) GeV. This represents the most stringent limits set to date for the dark Higgs boson masses considered in this study.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Feynman diagram for the associated production of an $ \mathrm{H}_{\mathrm{D}} $ boson and $ \chi $ particles.

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Figure 2:
Post-fit $ m_{\mathrm{SD}} $ distributions in bins of of the hadronic recoil $ U $. The upper panels present stacked post-fit predictions for the backgrounds superimposed on the data, with an example signal hypothesis overlaid. The lower panels show in red (blue) the pre-fit (post-fit) values of the ratio between the observed data and the predicted SM background, with their associated uncertainties. The gray area represents the total statistical post-fit uncertainty.

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Figure 3:
Expected and observed exclusion limits at 95% CL on the signal strength $ \mu=\sigma/\sigma_\text{theory} $ as a function of the mediator mass $ m_{\mathrm{Z}^{'}} $ and dark matter mass $ m_\chi $ for six dark Higgs boson masses ($ \mathrm{H}_{\mathrm{D}} $ mass). Only scenarios with DM heavier than the $ \mathrm{H}_{\mathrm{D}} $ boson are considered. The black solid line indicates the observed exclusion boundary corresponding to $ \mu= $ 1. The black dashed and dotted lines represent the expected exclusion and the 68 and 95% CL intervals around the expected boundary, respectively. Parameter combinations corresponding to larger values of $ \mu $ are excluded.

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Figure 3-a:
Expected and observed exclusion limits at 95% CL on the signal strength $ \mu=\sigma/\sigma_\text{theory} $ as a function of the mediator mass $ m_{\mathrm{Z}^{'}} $ and dark matter mass $ m_\chi $ for six dark Higgs boson masses ($ \mathrm{H}_{\mathrm{D}} $ mass). Only scenarios with DM heavier than the $ \mathrm{H}_{\mathrm{D}} $ boson are considered. The black solid line indicates the observed exclusion boundary corresponding to $ \mu= $ 1. The black dashed and dotted lines represent the expected exclusion and the 68 and 95% CL intervals around the expected boundary, respectively. Parameter combinations corresponding to larger values of $ \mu $ are excluded.

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Figure 3-b:
Expected and observed exclusion limits at 95% CL on the signal strength $ \mu=\sigma/\sigma_\text{theory} $ as a function of the mediator mass $ m_{\mathrm{Z}^{'}} $ and dark matter mass $ m_\chi $ for six dark Higgs boson masses ($ \mathrm{H}_{\mathrm{D}} $ mass). Only scenarios with DM heavier than the $ \mathrm{H}_{\mathrm{D}} $ boson are considered. The black solid line indicates the observed exclusion boundary corresponding to $ \mu= $ 1. The black dashed and dotted lines represent the expected exclusion and the 68 and 95% CL intervals around the expected boundary, respectively. Parameter combinations corresponding to larger values of $ \mu $ are excluded.

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Figure 3-c:
Expected and observed exclusion limits at 95% CL on the signal strength $ \mu=\sigma/\sigma_\text{theory} $ as a function of the mediator mass $ m_{\mathrm{Z}^{'}} $ and dark matter mass $ m_\chi $ for six dark Higgs boson masses ($ \mathrm{H}_{\mathrm{D}} $ mass). Only scenarios with DM heavier than the $ \mathrm{H}_{\mathrm{D}} $ boson are considered. The black solid line indicates the observed exclusion boundary corresponding to $ \mu= $ 1. The black dashed and dotted lines represent the expected exclusion and the 68 and 95% CL intervals around the expected boundary, respectively. Parameter combinations corresponding to larger values of $ \mu $ are excluded.

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Figure 3-d:
Expected and observed exclusion limits at 95% CL on the signal strength $ \mu=\sigma/\sigma_\text{theory} $ as a function of the mediator mass $ m_{\mathrm{Z}^{'}} $ and dark matter mass $ m_\chi $ for six dark Higgs boson masses ($ \mathrm{H}_{\mathrm{D}} $ mass). Only scenarios with DM heavier than the $ \mathrm{H}_{\mathrm{D}} $ boson are considered. The black solid line indicates the observed exclusion boundary corresponding to $ \mu= $ 1. The black dashed and dotted lines represent the expected exclusion and the 68 and 95% CL intervals around the expected boundary, respectively. Parameter combinations corresponding to larger values of $ \mu $ are excluded.

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Figure 3-e:
Expected and observed exclusion limits at 95% CL on the signal strength $ \mu=\sigma/\sigma_\text{theory} $ as a function of the mediator mass $ m_{\mathrm{Z}^{'}} $ and dark matter mass $ m_\chi $ for six dark Higgs boson masses ($ \mathrm{H}_{\mathrm{D}} $ mass). Only scenarios with DM heavier than the $ \mathrm{H}_{\mathrm{D}} $ boson are considered. The black solid line indicates the observed exclusion boundary corresponding to $ \mu= $ 1. The black dashed and dotted lines represent the expected exclusion and the 68 and 95% CL intervals around the expected boundary, respectively. Parameter combinations corresponding to larger values of $ \mu $ are excluded.

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Figure 3-f:
Expected and observed exclusion limits at 95% CL on the signal strength $ \mu=\sigma/\sigma_\text{theory} $ as a function of the mediator mass $ m_{\mathrm{Z}^{'}} $ and dark matter mass $ m_\chi $ for six dark Higgs boson masses ($ \mathrm{H}_{\mathrm{D}} $ mass). Only scenarios with DM heavier than the $ \mathrm{H}_{\mathrm{D}} $ boson are considered. The black solid line indicates the observed exclusion boundary corresponding to $ \mu= $ 1. The black dashed and dotted lines represent the expected exclusion and the 68 and 95% CL intervals around the expected boundary, respectively. Parameter combinations corresponding to larger values of $ \mu $ are excluded.
Tables

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Table 1:
Expected yields from background processes in the SR. The values shown are from Monte Carlo simulation, and the uncertainties are statistical only. The expected yields for a reference signal hypothesis with $ m_{\mathrm{Z}^{'}} = $ 1000 GeV, $ m_{\mathrm{H}_{\mathrm{D}}} = $ 130 GeV, and $ m_\chi = $ 150 GeV are also reported.

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Table 2:
Summary of requirements that define the different analysis regions. A ``$\checkmark$'' means the requirement is enforced; a ``$ \times $'' means the variable is left unconstrained in that region (the requirement is not applied).

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Table 3:
Summary of systematic uncertainties included in the analysis. The value given for each rate uncertainty is the maximum value before the fit is performed. Uncertainties in the shape of the distributions are instead labeled as such.
Summary
A search for dark matter (DM) produced in association with a dark Higgs boson ($ \mathrm{H}_{\mathrm{D}} $) in events with a resonant bottom quark-antiquark pair and large missing transverse momentum has been presented. Hypotheses for $ \mathrm{H}_{\mathrm{D}} $ bosons with masses between 50--150 GeV are tested with this search. Only scenarios in which the DM particle is more massive than the $ \mathrm{H}_{\mathrm{D}} $ boson are considered. A data set of proton-proton collisions at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 138 fb$ ^{-1} $ is analyzed. A joint maximum likelihood fit spanning a set of one signal region and multiple control regions is used to constrain the standard model background contributions to the data and to extract a possible signal. No significant excess is observed above the background. The result is interpreted in terms of exclusion limits at 95% confidence level on the parameters of the model. Values of the mediator mass up to 4.5 (2.5) TeV are excluded for an $ \mathrm{H}_{\mathrm{D}} $ boson of 50 (150) GeV, assuming couplings of $ g_\mathrm{q} = $ 0.25 between the mediator and quarks, of $ g_\chi = $ 1.0 between the mediator and the DM particles, and a mixing angle between the $ \mathrm{H}_{\mathrm{D}} $ boson and the standard model Higgs boson of 0.01.
References
1 N. Arkani-Hamed, D. P. Finkbeiner, T. R. Slatyer, and N. Weiner A theory of dark matter PRD 79 (2009) 015014 0810.0713
2 F. Zwicky On the masses of nebulae and of clusters of nebulae Astrophys. J. 86 (1937) 217
3 G. Bertone, D. Hooper, and J. Silk Particle dark matter: Evidence, candidates and constraints Phys. Rept. 405 (2005) 279 hep-ph/0404175
4 D. Abercrombie et al. Dark matter benchmark models for early LHC Run-2 searches: Report of the ATLAS/CMS dark matter forum Phys. Dark Univ. 27 (2020) 100371 1507.00966
5 CMS Collaboration Search for new particles in events with energetic jets and large missing transverse momentum in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 11 (2021) 153 CMS-EXO-20-004
2107.13021
6 ATLAS Collaboration Search for new phenomena in events with an energetic jet and missing transverse momentum in pp collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector PRD 103 (2021) 112006 2102.10874
7 M. Duerr et al. Hunting the dark Higgs JHEP 04 (2017) 143 1701.08780
8 N. F. Bell, Y. Cai, and R. K. Leane Dark forces in the sky: Signals from $ \mathrm{Z}^{'} $ and the dark Higgs JCAP 08 (2016) 001 1605.09382
9 F. Kahlhoefer, K. Schmidt-Hoberg, T. Schwetz, and S. Vogl Implications of unitarity and gauge invariance for simplified dark matter models JHEP 02 (2016) 016 1510.02110
10 N. F. Bell, Y. Cai, and R. K. Leane Impact of mass generation for spin-1 mediator simplified models JCAP 01 (2017) 039 1610.03063
11 LHC Dark Matter Working Group Recommendations of the LHC Dark Matter Working Group: Comparing LHC searches for dark matter mediators in visible and invisible decay channels and calculations of the thermal relic density Phys. Dark Univ. 26 (2019) 100377 1703.05703
12 M. T. Frandsen et al. LHC and Tevatron bounds on the dark matter direct detection cross-section for vector mediators JHEP 07 (2012) 123 1204.3839
13 CMS Collaboration A portrait of the Higgs boson by the CMS experiment ten years after the discovery Corrigendum: doi:10./s41586-023-06164-8
Nature 607 (2022) 60
CMS-HIG-22-001
2207.00043
14 ATLAS Collaboration Search for dark matter produced in association with a dark Higgs boson decaying into $ \mathrm{W}^+\mathrm{W}^- $ in the one-lepton final state at $ \sqrt{s} = $ 13 TeV using 139 fb$ ^{-1} $ of pp collisions recorded with the ATLAS detector JHEP 07 (2023) 116 2211.07175
15 CMS Collaboration Search for dark matter particles in $ \mathrm{W}^+\mathrm{W}^- $ events with transverse momentum imbalance in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 03 (2024) 134 CMS-EXO-21-012
2310.12229
16 ATLAS Collaboration Search for dark matter produced in association with a dark Higgs boson in the $ \mathrm{b}\overline{\mathrm{b}} $ final state using pp collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector PRL 134 (2025) 121801 2407.10549
17 CMS Collaboration HEPData record for this analysis link
18 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
19 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 JINST 19 (2024) P05064 CMS-PRF-21-001
2309.05466
20 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
21 Tracker Group in the CMS Collaboration The CMS Phase-1 pixel detector upgrade JINST 16 (2021) P02027 2012.14304
22 CMS Collaboration Track impact parameter resolution for the full pseudo rapidity coverage in the 2017 dataset with the CMS Phase-1 pixel detector CMS Detector Performance Note CMS-DP-2020-049, 2020
CDS
23 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
24 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
25 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
26 CMS Collaboration Performance of the CMS high-level trigger during LHC Run 2 JINST 19 (2024) P11021 CMS-TRG-19-001
2410.17038
27 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
28 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
29 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
30 CMS Collaboration Reconstruction and identification of $ \tau $ lepton decays to hadrons and $ \nu_\tau $ at CMS JINST 11 (2016) P01019 CMS-TAU-14-001
1510.07488
31 CMS Collaboration Identification of hadronic tau lepton decays using a deep neural network JINST 17 (2022) P07023 CMS-TAU-20-001
2201.08458
32 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_{\mathrm{T}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
33 M. Cacciari, G. P. Salam, and G. Soyez Fastjet user manual EPJC 72 (2012) 1896
34 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
35 CMS Collaboration Jet algorithms performance in 13 TeV data CMS Physics Analysis Summary, 2017
CMS-PAS-JME-16-003
CMS-PAS-JME-16-003
36 CMS Collaboration Pileup mitigation at CMS in 13 TeV data JINST 15 (2020) P09018 CMS-JME-18-001
2003.00503
37 D. Berteloni, H. P., M. Low, and N. Tran Pileup per particle identification JHEP 10 (2014) 1407.6013
38 E. Bols et al. Jet flavour classification using DeepJet JINST 15 (2020) P12012 2008.10519
39 CMS Collaboration Performance summary of AK4 jet b tagging with data from proton-proton collisions at $ \sqrt{s} = $ 13 TeV with the CMS detector CMS Detector Performance Summary CMS-DP-2023-005, 2023
CDS
40 M. Dasgupta, A. Fregoso, S. Marzani, and G. P. Salam Towards an understanding of jet substructure JHEP 09 (2013) 029 1307.0007
41 J. M. Butterworth, A. R. Davison, M. Rubin, and G. P. Salam Jet substructure as a new Higgs search channel at the LHC PRL 100 (2008) 242001 0802.2470
42 A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler Soft drop JHEP 05 (2014) 146 1402.2657
43 CMS Collaboration Identification of heavy, energetic, hadronically decaying particles using machine-learning techniques JINST 15 (2020) P06005 CMS-JME-18-002
2004.08262
44 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
45 T. Sjöstrand et al. An introduction to PYTHIA 8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
46 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
47 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
48 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
49 NNPDF Collaboration Parton distributions from high-precision collider data Eur. Phys. J. 77 (2017) 663 1706.00428
50 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
51 M. L. Mangano, M. Moretti, F. Piccinini, and M. Treccani Matching matrix elements and shower evolution for top-quark production in hadronic collisions JHEP 01 (2007) 013 hep-ph/0611129
52 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
53 M. Czakon, P. Fiedler, and A. Mitov Total top-quark pair-production cross section at hadron colliders through $ O(\alpha^4_S) $ PRL 110 (2013) 252004 1303.6254
54 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
55 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
56 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
57 S. Alioli, P. Nason, C. Oleari, and E. Re NLO single-top production matched with shower in POWHEG: $ s $- and $ t $-channel contributions Erratum: doi:10./JHEP02()011
JHEP 09 (2009) 111
0907.4076
58 E. Re Single-top Wt-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
59 M. Aliev et al. HATHOR: HAdronic Top and Heavy quarks crOss section calculatoR Comput. Phys. Commun. 182 (2011) 1034 1007.1327
60 P. Kant et al. HATHOR for single top-quark production: Updated predictions and uncertainty estimates for single top-quark production in hadronic collisions Comput. Phys. Commun. 191 (2015) 74 1406.4403
61 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
62 J. M. Campbell and R. K. Ellis An update on vector boson pair production at hadron colliders PRD 60 (1999) 113006 hep-ph/9905386
63 J. M. Lindert et al. Precise predictions for V+jets dark matter backgrounds Eur. Phys. J. 77 (2017) 829 1705.04664
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, 2018
link
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, 2019
link
CMS-PAS-LUM-18-002
67 CMS Collaboration Performance of the CMS missing transverse momentum reconstruction in pp data at $ \sqrt{s} = $ 8 TeV JINST 10 (2015) P02006 CMS-JME-13-003
1411.0511
68 CMS Collaboration Search for new physics in final states with an energetic jet or a hadronically decaying W or Z boson and transverse momentum imbalance at $ \sqrt{s}= $ 13 TeV PRD 97 (2018) 092005 CMS-EXO-16-048
1712.02345
69 J. S. Conway Incorporating nuisance parameters in likelihoods for multisource spectra PHYSTAT 201 (2011) 115 1103.0354
70 T. Junk Confidence level computation for combining searches with small statistics NIM A 434 (1999) 435 hep-ex/9902006
71 A. L. Read Presentation of search results: The CL$ _{\text{s}} $ technique JPG 28 (2002) 2693
72 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