CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-SUS-24-007 ; CERN-EP-2025-288
Search for dark matter produced in association with a Higgs boson decaying to bottom quarks in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Submitted to Physical Review D
Abstract: A search for dark matter particles produced in association with a Higgs boson decaying to a bottom quark-antiquark pair in proton-proton collisions at $ \sqrt{s}= $ 13 TeV is presented. The data, collected with the CMS detector at the LHC, correspond to an integrated luminosity of 101 fb$ ^{-1} $. The analysis is performed in exclusive categories targeting both Lorentz-boosted (merged) and resolved b jet pair topologies, covering a wide range of Higgs boson transverse momentum. A statistical combination is made with a previous search using data collected in 2016 and corresponding to an integrated luminosity of 35.9 fb$ ^{-1} $. The observed data agree with the standard model background predictions. Constraints are placed on models predicting new particles or interactions, such as those in the simplified frameworks of baryonic-$ \mathrm{Z}^{'} $ and 2HDM+$ \mathrm{a} $, where the latter is a type-II two-Higgs-doublet model featuring a heavy pseudoscalar with an additional light pseudoscalar. Upper limits at 95% confidence level are set on the production cross section for these models. For the baryonic-$ \mathrm{Z}^{'} $ model, $ \mathrm{Z}^{'} $ boson masses below 2.25 TeV are excluded for a dark matter particle candidate mass of 1 GeV. In the 2HDM+$ \mathrm{a} $ model, heavy pseudoscalar masses between 850 and 1300 GeV are excluded for a light pseudoscalar mass of 350 GeV.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Feynman diagrams for simplified benchmark models considered in this analysis: the baryonic-$ \mathrm{Z}^{'} $ model (left) and 2HDM+$ \mathrm{a} $ model (right) [15,16].

png pdf
Figure 1-a:
Feynman diagrams for simplified benchmark models considered in this analysis: the baryonic-$ \mathrm{Z}^{'} $ model (left) and 2HDM+$ \mathrm{a} $ model (right) [15,16].

png pdf
Figure 1-b:
Feynman diagrams for simplified benchmark models considered in this analysis: the baryonic-$ \mathrm{Z}^{'} $ model (left) and 2HDM+$ \mathrm{a} $ model (right) [15,16].

png pdf
Figure 2:
Schematic representation of the analysis regions.

png pdf
Figure 3:
The AK8 jet $ m_{\text{SD}} $ distributions after the simultaneous likelihood background-only fit sliced in three $ U $ bins, for the merged-category $ \mathrm{t}(\mathrm{e}) $ (above) and $ \mathrm{t}(\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 3-a:
The AK8 jet $ m_{\text{SD}} $ distributions after the simultaneous likelihood background-only fit sliced in three $ U $ bins, for the merged-category $ \mathrm{t}(\mathrm{e}) $ (above) and $ \mathrm{t}(\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 3-b:
The AK8 jet $ m_{\text{SD}} $ distributions after the simultaneous likelihood background-only fit sliced in three $ U $ bins, for the merged-category $ \mathrm{t}(\mathrm{e}) $ (above) and $ \mathrm{t}(\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 4:
The AK8 jet $ m_{\text{SD}} $ distributions after the simultaneous likelihood background-only fit sliced in three $ U $ bins, for the merged-category $ \mathrm{Z}(\mathrm{e}\mathrm{e}) $ (above) and $ \mathrm{Z}(\mu\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 4-a:
The AK8 jet $ m_{\text{SD}} $ distributions after the simultaneous likelihood background-only fit sliced in three $ U $ bins, for the merged-category $ \mathrm{Z}(\mathrm{e}\mathrm{e}) $ (above) and $ \mathrm{Z}(\mu\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 4-b:
The AK8 jet $ m_{\text{SD}} $ distributions after the simultaneous likelihood background-only fit sliced in three $ U $ bins, for the merged-category $ \mathrm{Z}(\mathrm{e}\mathrm{e}) $ (above) and $ \mathrm{Z}(\mu\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 5:
The dijet $ m_{\mathrm{b}\overline{\mathrm{b}}} $ distributions after the simultaneous likelihood background-only fit sliced in five $ U $ bins, for the resolved-category $ \mathrm{t}(\mathrm{e}) $ (above) and $ \mathrm{t}(\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 5-a:
The dijet $ m_{\mathrm{b}\overline{\mathrm{b}}} $ distributions after the simultaneous likelihood background-only fit sliced in five $ U $ bins, for the resolved-category $ \mathrm{t}(\mathrm{e}) $ (above) and $ \mathrm{t}(\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 5-b:
The dijet $ m_{\mathrm{b}\overline{\mathrm{b}}} $ distributions after the simultaneous likelihood background-only fit sliced in five $ U $ bins, for the resolved-category $ \mathrm{t}(\mathrm{e}) $ (above) and $ \mathrm{t}(\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 6:
The dijet $ m_{jj} $ distributions after the simultaneous likelihood background-only fit sliced in five $ U $ bins, for the resolved-category $ \mathrm{Z}(\mathrm{e}\mathrm{e}) $ (above) and $ \mathrm{Z}(\mu\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 6-a:
The dijet $ m_{jj} $ distributions after the simultaneous likelihood background-only fit sliced in five $ U $ bins, for the resolved-category $ \mathrm{Z}(\mathrm{e}\mathrm{e}) $ (above) and $ \mathrm{Z}(\mu\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 6-b:
The dijet $ m_{jj} $ distributions after the simultaneous likelihood background-only fit sliced in five $ U $ bins, for the resolved-category $ \mathrm{Z}(\mathrm{e}\mathrm{e}) $ (above) and $ \mathrm{Z}(\mu\mu) $ (below) CRs. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The lower panels show the ratios of the observed data to the background predicted before (pre-fit in red) and after (post-fit in black) the fit, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 7:
The AK8 jet $ m_{\text{SD}} $ (above) and dijet $ m_{\mathrm{b}\overline{\mathrm{b}}} $ (below) distributions after the simultaneous likelihood background-only fit sliced in three and five $ p_{\mathrm{T}}^\text{miss} $ bins, for the merged- and resolved-category SRs respectively. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The signal predictions are overlaid as cyan and yellow dashed lines, one for each benchmark model. The lower panels show the ratios of the observed data to pre-fit (red points) and post-fit (black points) background predictions, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 7-a:
The AK8 jet $ m_{\text{SD}} $ (above) and dijet $ m_{\mathrm{b}\overline{\mathrm{b}}} $ (below) distributions after the simultaneous likelihood background-only fit sliced in three and five $ p_{\mathrm{T}}^\text{miss} $ bins, for the merged- and resolved-category SRs respectively. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The signal predictions are overlaid as cyan and yellow dashed lines, one for each benchmark model. The lower panels show the ratios of the observed data to pre-fit (red points) and post-fit (black points) background predictions, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 7-b:
The AK8 jet $ m_{\text{SD}} $ (above) and dijet $ m_{\mathrm{b}\overline{\mathrm{b}}} $ (below) distributions after the simultaneous likelihood background-only fit sliced in three and five $ p_{\mathrm{T}}^\text{miss} $ bins, for the merged- and resolved-category SRs respectively. The black markers with statistical uncertainty bars show the observed data, the stacked colored histograms show the predicted background, and the gray shading shows the systematic uncertainty in the prediction. The signal predictions are overlaid as cyan and yellow dashed lines, one for each benchmark model. The lower panels show the ratios of the observed data to pre-fit (red points) and post-fit (black points) background predictions, with the gray bands indicating the post-fit uncertainty obtained from combining all statistical and systematic sources.

png pdf
Figure 8:
Exclusion limits at 95% CL on the signal cross section $ \sigma_{\mathrm{h}+\text{DM}} $ for the baryonic-$ \mathrm{Z}^{'} $ model as a function of $ m_{\mathrm{Z}^{'}} $ and $ m_{\chi} $. The coupling parameters are fixed to $ g_{\mathrm{q}}= $ 0.25 and $ g_{\chi}= $ 1. The areas within the solid black and red contours represent the exclusion regions where the theoretical cross sections are larger than the observed and expected experimental limits, respectively. The areas within the dashed and dotted red contours show the excluded regions at $ \pm $1 and $ \pm $2 standard deviations from the expected limits, respectively.

png pdf
Figure 9:
Observed and expected exclusion limits at 95% CL on the signal cross section $ \sigma_{\mathrm{h}+\text{DM}} $ for the 2HDM+$ \mathrm{a} $ model as a function of the model parameters: $ m_{\mathrm{a}} $ (upper left), $ m_{\mathrm{A}} $ (upper right), $ \sin\theta $ (lower left), and $ \tan\beta $ (lower right) while fixing the values of the other parameters, as indicated in the legends. Different sets of model parameters are tested to probe distinct regions of phase space. Mass points below the solid red line are excluded.

png pdf
Figure 9-a:
Observed and expected exclusion limits at 95% CL on the signal cross section $ \sigma_{\mathrm{h}+\text{DM}} $ for the 2HDM+$ \mathrm{a} $ model as a function of the model parameters: $ m_{\mathrm{a}} $ (upper left), $ m_{\mathrm{A}} $ (upper right), $ \sin\theta $ (lower left), and $ \tan\beta $ (lower right) while fixing the values of the other parameters, as indicated in the legends. Different sets of model parameters are tested to probe distinct regions of phase space. Mass points below the solid red line are excluded.

png pdf
Figure 9-b:
Observed and expected exclusion limits at 95% CL on the signal cross section $ \sigma_{\mathrm{h}+\text{DM}} $ for the 2HDM+$ \mathrm{a} $ model as a function of the model parameters: $ m_{\mathrm{a}} $ (upper left), $ m_{\mathrm{A}} $ (upper right), $ \sin\theta $ (lower left), and $ \tan\beta $ (lower right) while fixing the values of the other parameters, as indicated in the legends. Different sets of model parameters are tested to probe distinct regions of phase space. Mass points below the solid red line are excluded.

png pdf
Figure 9-c:
Observed and expected exclusion limits at 95% CL on the signal cross section $ \sigma_{\mathrm{h}+\text{DM}} $ for the 2HDM+$ \mathrm{a} $ model as a function of the model parameters: $ m_{\mathrm{a}} $ (upper left), $ m_{\mathrm{A}} $ (upper right), $ \sin\theta $ (lower left), and $ \tan\beta $ (lower right) while fixing the values of the other parameters, as indicated in the legends. Different sets of model parameters are tested to probe distinct regions of phase space. Mass points below the solid red line are excluded.

png pdf
Figure 9-d:
Observed and expected exclusion limits at 95% CL on the signal cross section $ \sigma_{\mathrm{h}+\text{DM}} $ for the 2HDM+$ \mathrm{a} $ model as a function of the model parameters: $ m_{\mathrm{a}} $ (upper left), $ m_{\mathrm{A}} $ (upper right), $ \sin\theta $ (lower left), and $ \tan\beta $ (lower right) while fixing the values of the other parameters, as indicated in the legends. Different sets of model parameters are tested to probe distinct regions of phase space. Mass points below the solid red line are excluded.
Tables

png pdf
Table 1:
Event selections applied to the merged-category SR and CRs. Events in all the analysis regions have a photon and tau lepton candidate veto. Here ``jets'' refers to the AK4 jets with $ \Delta R > $ 0.8 between the jet and the double-b tagged AK8 jet.

png pdf
Table 2:
Event selections applied to the resolved-category SR and CRs. Events in all the analysis regions have a photon and tau lepton candidate veto. Here ``jets'' refers to the AK4 jets with $ \Delta R > $ 0.4 between this jet and the leading ($j _1$) and subleading ($j_2$) b-tagged jets forming the Higgs boson candidate dijet ($jj$) system.

png pdf
Table 3:
The sources of systematic uncertainty and the correlation scheme between the 2017 and 2018 data-taking periods, along with the type (normalization or shape) and their relative values.
Summary
A search for dark matter (DM) produced in association with a standard model Higgs boson decaying to a bottom quark-antiquark pair has been presented. The analysis is based on proton-proton collision data collected in 2017 and 2018 by the CMS experiment at $ \sqrt{s}= $ 13 TeV, corresponding to an integrated luminosity of 101 fb$ ^{-1} $. The search has been performed in merged and resolved categories to cover a wide range of Lorentz boosts of the Higgs boson. The signal is extracted using a simultaneous fit to the signal and control regions by combining the two categories. The observed data agree with the standard model background prediction, indicating no evidence for new physics. The results are statistically combined with an earlier search using 2016 data, corresponding to an integrated luminosity of 35.9 fb$ ^{-1} $. The full 2016--2018 results have been interpreted in two simplified models, the baryonic-$ \mathrm{Z}^{'} $ model where a high mass resonance ($ \mathrm{Z}^{'} $) decays to a pair of DM particles and a Higgs boson, and the 2HDM+$ \mathrm{a} $ model where a heavy pseudoscalar couples to a Higgs boson and a lighter pseudoscalar that decays to a pair of DM particles. Exclusion limits are set on the model parameters at 95% confidence level. For the baryonic-$ \mathrm{Z}^{'} $ model, mediator $ \mathrm{Z}^{'} $ masses up to 2.25 TeV are excluded for a DM mass of 1 GeV, and DM particle masses up to 550 GeV are excluded for a 1.25 TeV $ \mathrm{Z}^{'} $ particle. In the 2HDM+$ \mathrm{a} $ framework, light pseudoscalar masses $ m_{\mathrm{a}} $ below 360 GeV are excluded for a heavy pseudoscalar mass $ m_{\mathrm{A}} $ of 1000 GeV, and $ m_{\mathrm{A}} $ masses between 850 and 1300 GeV are excluded for $ m_{\mathrm{a}} $ of 350 GeV. For the other model parameters, $ \sin\theta $ values between 0.15 and 0.95 are excluded, while $ \tan\beta $ values less than 4.2 are excluded. These results improve upon the previously existing CMS limits owing to the larger integrated luminosity and improved identification of $ \mathrm{h}\to\mathrm{b}\overline{\mathrm{b}} $ decay.
References
1 Planck Collaboration Planck 2018 results. I. Overview and the cosmological legacy of Planck Astron. Astrophys. 641 (2020) A1 1807.06205
2 J. L. Feng Dark matter candidates from particle physics and methods of detection Ann. Rev. Astron. Astrophys. 48 (2010) 495 1003.0904
3 R. J. Scherrer and M. S. Turner On the relic, cosmic abundance of stable weakly interacting massive particles [Erratum: \doi10.1103/PhysRevD.34.3263], 1986
PRD 33 (1986) 1585
4 G. Steigman and M. S. Turner Cosmological constraints on the properties of weakly interacting massive particles NPB 253 (1985) 375
5 G. Jungman, M. Kamionkowski, and K. Griest Supersymmetric dark matter Phys. Rept. 267 (1996) 195 hep-ph/9506380
6 ATLAS Collaboration Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC PLB 716 (2012) 1 1207.7214
7 CMS Collaboration Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC PLB 716 (2012) 30 CMS-HIG-12-028
1207.7235
8 CMS Collaboration Observation of a new boson with mass near 125 GeV in $ {\mathrm{p}\mathrm{p}} $ collisions at $ \sqrt{s}= $ 7 and 8 TeV JHEP 06 (2013) 081 CMS-HIG-12-036
1303.4571
9 L. Carpenter et al. Mono-Higgs-boson: A new collider probe of dark matter PRD 89 (2014) 075017 1312.2592
10 A. Berlin, T. Lin, and L.-T. Wang Mono-Higgs detection of dark matter at the LHC JHEP 06 (2014) 078 1402.7074
11 A. A. Petrov and W. Shepherd Searching for dark matter at LHC with mono-Higgs production PLB 730 (2014) 178 1311.1511
12 G. Bertone, D. Hooper, and J. Silk Particle dark matter: evidence, candidates and constraints Phys. Rept. 405 (2005) 279 hep-ph/0404175
13 C. P. Burgess, M. Pospelov, and T. ter Veldhuis The minimal model of nonbaryonic dark matter: a singlet scalar NPB 619 (2001) 709 hep-ph/0011335
14 J. March-Russell, S. M. West, D. Cumberbatch, and D. Hooper Heavy dark matter through the Higgs portal JHEP 07 (2008) 058 0801.3440
15 D. Abercrombie et al. Dark matter benchmark models for early LHC \mboxRun 2 searches: Report of the ATLAS/CMS dark matter forum Phys. Dark Univ. 27 (2020) 100371 1507.00966
16 T. Abe et al. LHC Dark Matter Working Group: Next-generation spin-0 dark matter models Phys. Dark Univ. 27 (2020) 100351 1810.09420
17 M. Bauer, U. Haisch, and F. Kahlhoefer Simplified dark matter models with two Higgs doublets: I. Pseudoscalar mediators JHEP 05 (2017) 138 1701.07427
18 G. C. Branco et al. Theory and phenomenology of two-Higgs-doublet models Phys. Rept. 516 (2012) 1 1106.0034
19 CMS Collaboration Search for dark matter produced in association with a Higgs boson decaying to a pair of bottom quarks in proton-proton collisions at $ \sqrt{s}= $ 13 TeV EPJC 79 (2019) 280 CMS-EXO-16-050
1811.06562
20 ATLAS Collaboration Search for dark matter produced in association with a standard model Higgs boson decaying into b-quarks using the full \mboxRun 2 dataset from the ATLAS detector JHEP 11 (2021) 209 2108.13391
21 J. Thaler and K. Van Tilburg Identifying boosted objects with $ {N} $-subjettiness JHEP 03 (2011) 015 1011.2268
22 CMS Collaboration HEPData record for this analysis link
23 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
24 CMS Collaboration Development of the CMS detector for the CERN LHC \mboxRun 3 JINST 19 (2024) P05064 CMS-PRF-21-001
2309.05466
25 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
26 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
27 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
28 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
29 T. Sjöstrand et al. An introduction to PYTHIA8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
30 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
31 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
32 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
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 CMS Collaboration Measurement of differential cross sections for the production of top quark pairs and of additional jets in lepton+jets events from $ {\mathrm{p}\mathrm{p}} $ collisions at $ \sqrt{s}= $ 13 TeV PRD 97 (2018) 112003 CMS-TOP-17-002
1803.08856
37 R. Frederix, E. Re, and P. Torrielli Single-top $ t $-channel hadroproduction in the four-flavors scheme with POWHEG and aMC@NLO JHEP 09 (2012) 130 1207.5391
38 E. Re Single-top $ {\mathrm{W}\mathrm{t}} $-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
39 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
40 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
41 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
42 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
link
43 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
44 CMS Collaboration ECAL 2016 refined calibration and \mboxRun 2 summary plots CMS Detector Performance Note CMS-DP-2020-021, 2020
CDS
45 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
46 CMS Collaboration Performance of reconstruction and identification of $ \tau $ leptons decaying to hadrons and $ \nu_{\!\tau} $ in $ {\mathrm{p}\mathrm{p}} $ collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) P10005 CMS-TAU-16-003
1809.02816
47 CMS Collaboration Identification of hadronic tau lepton decays using a deep neural network JINST 17 (2022) P07023 CMS-TAU-20-001
2201.08458
48 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_{\mathrm{T}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
49 M. Cacciari, G. P. Salam, and G. Soyez FASTJET user manual EPJC 72 (2012) 1896 1111.6097
50 CMS Collaboration Pileup mitigation at CMS in 13 TeV data JINST 15 (2020) P09018 CMS-JME-18-001
2003.00503
51 D. Bertolini, P. Harris, M. Low, and N. Tran Pileup per particle identification JHEP 10 (2014) 059 1407.6013
52 CMS Collaboration Jet energy scale and resolution in the CMS experiment in $ {\mathrm{p}\mathrm{p}} $ collisions at 8 TeV JINST 12 (2017) P02014 CMS-JME-13-004
1607.03663
53 CMS Collaboration Jet energy scale and resolution measurements with legacy \mboxRun 2 data collected by CMS at 13 TeV CMS Detector Performance Note CMS-DP-2021-033, 2021
CDS
54 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
55 Y. L. Dokshitzer, G. D. Leder, S. Moretti, and B. R. Webber Better jet clustering algorithms JHEP 08 (1997) 001 hep-ph/9707323
56 M. Wobisch and T. Wengler Hadronization corrections to jet cross-sections in deep inelastic scattering in Proc. Workshop on Monte Carlo Generators for HERA Physics: Hamburg, Germany, --30,, 1998
April 2 (1998) 270
hep-ph/9907280
57 M. Dasgupta, A. Fregoso, S. Marzani, and G. P. Salam Towards an understanding of jet substructure JHEP 09 (2013) 029 1307.0007
58 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
59 A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler Soft drop JHEP 05 (2014) 146 1402.2657
60 E. Bols et al. Jet flavour classification using DeepJet JINST 15 (2020) P12012 2008.10519
61 CMS Collaboration Identification of heavy-flavour jets with the CMS detector in $ {\mathrm{p}\mathrm{p}} $ collisions at 13 TeV JINST 13 (2018) P05011 CMS-BTV-16-002
1712.07158
62 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, 2023
CDS
63 H. Qu and L. Gouskos Jet tagging via particle clouds PRD 101 (2020) 056019 1902.08570
64 CMS Collaboration Calibration of the mass-decorrelated ParticleNet tagger for boosted $ \mathrm{b}\overline{\mathrm{b}} $ and $ \mathrm{c}\overline{\mathrm{c}} $ jets using LHC \mboxRun 2 data CMS Detector Performance Note CMS-DP-2022-005, 2024
CDS
65 CMS Collaboration Performance of heavy-flavour jet identification in Lorentz-boosted topologies in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JINST 20 (2025) P11006 CMS-BTV-22-001
2510.10228
66 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
67 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
68 CMS Collaboration CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s}= $ 13 TeV CMS Physics Analysis Summary, 2019
CMS-PAS-LUM-18-002
CMS-PAS-LUM-18-002
69 CMS Collaboration Precision luminosity measurement in proton-proton collisions at $ \sqrt{s}= $ 13 TeV with the CMS detector CMS Physics Analysis Summary, 2025
CMS-PAS-LUM-20-001
CMS-PAS-LUM-20-001
70 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
71 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
72 J. Butterworth et al. PDF4LHC recommendations for LHC \mboxRun 2 JPG 43 (2016) 023001 1510.03865
73 CMS Collaboration Observation of the associated production of a single top quark and a W boson in $ {\mathrm{p}\mathrm{p}} $ collisions at $ \sqrt{s}= $ 8 TeV PRL 112 (2014) 231802 CMS-TOP-12-040
1401.2942
74 CMS Collaboration Measurements of inclusive W and Z cross sections in $ {\mathrm{p}\mathrm{p}} $ collisions at $ \sqrt{s}= $ 7 TeV JHEP 01 (2011) 080 CMS-EWK-10-002
1012.2466
75 CMS Collaboration Measurement of the $ {\mathrm{Z}\mathrm{Z}} $ production cross section and $ {\mathrm{Z}\to\ell^+\ell^-\ell^{\prime+}\ell^{\prime-}} $ branching fraction in $ {\mathrm{p}\mathrm{p}} $ collisions at $ \sqrt{s}= $ 13 TeV PLB 763 (2016) 280 CMS-SMP-16-001
1607.08834
76 CMS Collaboration Measurement of the inclusive and differential $ {\mathrm{W}\mathrm{Z}} $ production cross sections, polarization angles, and triple gauge couplings in $ {\mathrm{p}\mathrm{p}} $ collisions at $ \sqrt{s}= $ 13 TeV JHEP 07 (2022) 032 CMS-SMP-20-014
2110.11231
77 CMS Collaboration The CMS statistical analysis and combination tool: combine Comput. Softw. Big Sci. 8 (2024) 19 CMS-CAT-23-001
2404.06614
78 R. Barlow and C. Beeston Fitting using finite Monte Carlo samples Comput. Phys. Commun. 77 (1993) 219
79 T. Junk Confidence level computation for combining searches with small statistics NIM A 434 (1999) 435 hep-ex/9902006
80 A. L. Read Presentation of search results: The $ \text{CL}_\text{s} $ technique JPG 28 (2002) 2693
81 ATLAS and CMS Collaborations, and LHC Higgs Combination Group Procedure for the LHC Higgs boson search combination in Summer 2011 Technical Report CMS-NOTE-2011-005, ATL-PHYS-PUB-2011-11, 2011
82 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
83 Particle Data Group , S. Navas et al. Review of particle physics PRD 110 (2024) 030001
Compact Muon Solenoid
LHC, CERN