| 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 | ||
| CMS Collaboration | ||
| 16 January 2026 | ||
| 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. | ||
| Links: e-print arXiv:2601.11330 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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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]. |
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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]. |
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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]. |
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Figure 2:
Schematic representation of the analysis regions. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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 | |
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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. |
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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. |
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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. |
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