CMS-PAS-EXO-18-011 | ||
Search for dark matter particles produced in association with the Higgs boson in proton-proton collisions at $\sqrt{s}= $ 13 TeV | ||
CMS Collaboration | ||
March 2019 | ||
Abstract: A search for dark matter (DM) particles is performed using events with a Higgs boson candidate and a large missing transverse momentum. The analysis is based on proton-proton collision data at a center-of-mass energy of 13 TeV collected by the CMS experiment at the LHC in 2016, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The search is performed in five Higgs boson decay channels: a b quark-antiquark pair, a pair of $\tau$ leptons, a pair of photons, or a pair of W or Z bosons. No significant excesses over the expected standard model background are observed in any of the five channels. The results from the individual channels are combined to maximize the sensitivity of the search, which allows to set most stringent limits on DM production in the context of two benchmark simplified models. The results are further reinterpreted in terms of spin-independent DM-nucleon scattering cross section and compared to those from direct-detection DM experiments. This is the first search for DM particles produced in association with a Higgs boson decaying to a pair of W or Z bosons, and the first combination based on five Higgs boson decay channels. | ||
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These preliminary results are superseded in this paper, JHEP 03 (2020) 025. The superseded preliminary plots can be found here. |
Figures | Summary | Additional Figures | References | CMS Publications |
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Figures | |
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Figure 1:
Representative Feynman diagrams for the two benchmark signal models considered in this note, the Z'-2HDM model (left) and the baryonic Z' model (right). |
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Figure 1-a:
Representative Feynman diagram for Z'-2HDM model. |
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Figure 1-b:
Representative Feynman diagram for baryonic Z' model. |
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Figure 2:
The distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ at the generator level for the Z'-2HDM model (left), showing the variation as a function of the two main model parameters varied in the analysis: ${m_ {{\mathrm {Z}^\prime}}}$ and ${m\mathrm {_A}}$, and the baryonic Z' model (right), showing the variation as a function of ${m_ {{\mathrm {Z}^\prime}}}$ and ${m_\chi}$. All other parameters of the models are fixed to the values specified in the text. |
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Figure 2-a:
The distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ at the generator level for the Z'-2HDM model, showing the variation as a function of the two main model parameters varied in the analysis: ${m_ {{\mathrm {Z}^\prime}}}$ and ${m\mathrm {_A}}$. All other parameters are fixed to the values specified in the text. |
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Figure 2-b:
The distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ at the generator level for the baryonic Z' model, showing the variation as a function of ${m_ {{\mathrm {Z}^\prime}}}$ and ${m_\chi}$. All other parameters are fixed to the values specified in the text. |
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Figure 3:
The distribution of ${m_{{\ell} {\ell}}}$ (left) and ${\Delta R_{{\ell} {\ell}}}$ (right) after the preselection. The total signal event yield is scaled by a factor of 500 (100) for the Z'-2HDM (baryonic Z') model. |
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Figure 3-a:
The distribution of ${m_{{\ell} {\ell}}}$ after the preselection. The total signal event yield is scaled by a factor of 500 (100) for the Z'-2HDM (baryonic Z') model. |
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Figure 3-b:
The distribution of ${\Delta R_{{\ell} {\ell}}}$ after the preselection. The total signal event yield is scaled by a factor of 500 (100) for the Z'-2HDM (baryonic Z') model. |
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Figure 4:
Distributions of the MVA discriminants trained for the Z'-2HDM (left) and baryonic Z' (right) models in the signal-enriched phase space. The total signal event yield is scaled by a factor 500 (100) for the Z'-2HDM (baryonic Z') model. |
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Figure 4-a:
Distribution of the MVA discriminant trained for the Z'-2HDM model in the signal-enriched phase space. The total signal event yield is scaled by a factor 500. |
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Figure 4-b:
Distribution of the MVA discriminant trained for the baryonic Z' model in the signal-enriched phase space. The total signal event yield is scaled by a factor 100. |
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Figure 5:
The four-lepton invariant mass (left) and ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions (right) in data and simulation, after the SM Higgs boson selection. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. Two signal benchmarks, corresponding to the Z'-2HDM (orange line) and baryonic Z' (black line) models are superimposed. |
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Figure 5-a:
The four-lepton invariant mass distribution in data and simulation, after the SM Higgs boson selection. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. Two signal benchmarks, corresponding to the Z'-2HDM (orange line) and baryonic Z' (black line) models are superimposed. |
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Figure 5-b:
The ${{p_{\mathrm {T}}} ^\text {miss}}$ distribution in data and simulation, after the SM Higgs boson selection. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. Two signal benchmarks, corresponding to the Z'-2HDM (orange line) and baryonic Z' (black line) models are superimposed. |
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Figure 6:
The MVA discriminant distribution for the expected backgrounds and observed events in data for the ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$ analysis for the Z'-2HDM (left) and baryonic Z' (right) selections. Benchmark signal contributions for these two models are also shown, scaled by a factor of 500 and 100, respectively, for better visibility. The ratios of the data and the sum of all the SM backgrounds are shown in the bottom panels. The hatched bands correspond to the statistical and systematic uncertainties added in quadrature. |
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Figure 6-a:
The MVA discriminant distribution for the expected backgrounds and observed events in data for the ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$ analysis for the Z'-2HDM selection. Benchmark signal contributions are also shown, scaled by a factor of 500 for better visibility. The ratio of the data and the sum of all the SM backgrounds is shown in the bottom panel. The hatched bands correspond to the statistical and systematic uncertainties added in quadrature. |
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Figure 6-b:
The MVA discriminant distribution for the expected backgrounds and observed events in data for the ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$ analysis for the baryonic Z' selection. Benchmark signal contributions are also shown, scaled by a factor of 100 for better visibility. The ratio of the data and the sum of all the SM backgrounds is shown in the bottom panel. The hatched bands correspond to the statistical and systematic uncertainties added in quadrature. |
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Figure 7:
The ${{p_{\mathrm {T}}} ^\text {miss}}$ distribution for the expected background events and observed events in data ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$ analysis. Two benchmark signal model contributions (Z'-2HDM in orange and baryonic Z' in black) are also shown. The ratios of the data and the sum of all the SM backgrounds are shown in the bottom panels. The hatched band corresponds to the statistical and systematic uncertainties added in quadrature. |
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Figure 8:
The observed and expected 95% CL upper limits on the DM production cross section for the ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$ (upper) and ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$ (lower) analyses for the Z'-2HDM with ${m\mathrm {_A}} = $ 300 GeV (left) and baryonic Z' with ${m_\chi} = $ 1 GeV (right) models. The inner and outer shaded bands show the 68 and 95% uncertainties in the expected limit, respectively. |
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Figure 8-a:
The observed and expected 95% CL upper limits on the DM production cross section for the ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$ analysis for the Z'-2HDM with ${m\mathrm {_A}} = $ 300 GeV model. The inner and outer shaded bands show the 68 and 95% uncertainties in the expected limit, respectively. |
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Figure 8-b:
The observed and expected 95% CL upper limits on the DM production cross section for the ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$ analysis for the baryonic Z' with ${m_\chi} = $ 1 GeV model. The inner and outer shaded bands show the 68 and 95% uncertainties in the expected limit, respectively. |
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Figure 8-c:
The observed and expected 95% CL upper limits on the DM production cross section for the ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$ analysis for the Z'-2HDM with ${m\mathrm {_A}} = $ 300 GeV model. The inner and outer shaded bands show the 68 and 95% uncertainties in the expected limit, respectively. |
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Figure 8-d:
The observed and expected 95% CL upper limits on the DM production cross section for the ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$ analysis for the baryonic Z' with ${m_\chi} = $ 1 GeV model. The inner and outer shaded bands show the 68 and 95% uncertainties in the expected limit, respectively. |
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Figure 9:
The observed and expected 95% CL upper limits on $\sigma /\sigma _\text {th}$ for the Z'-2HDM (left) and baryonic Z' (right) models for the five individual decay modes of the Higgs boson, ${\mathrm {h} \to {\mathrm {b \bar{b}}}}$, ${\mathrm {h} \to \gamma \gamma}$, ${\mathrm {h} \to {\tau} {\tau}}$, ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$, and ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$, as well as their combination. Various mass hypotheses for Z' are considered for a fixed value of ${m\mathrm {_A}} = $ 300 GeV (${m_\chi} = $ 1 GeV) for Z'-2HDM (baryonic Z') model. The inner and outer shaded bands show the 68 and 95% CL uncertainties in the expected limit, respectively. |
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Figure 9-a:
The observed and expected 95% CL upper limits on $\sigma /\sigma _\text {th}$ for the Z'-2HDM model for the five individual decay modes of the Higgs boson, ${\mathrm {h} \to {\mathrm {b \bar{b}}}}$, ${\mathrm {h} \to \gamma \gamma}$, ${\mathrm {h} \to {\tau} {\tau}}$, ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$, and ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$, as well as their combination. Various mass hypotheses for Z' are considered for a fixed value of ${m\mathrm {_A}} = $ 300 GeV. The inner and outer shaded bands show the 68 and 95% CL uncertainties in the expected limit, respectively. |
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Figure 9-b:
The observed and expected 95% CL upper limits on $\sigma /\sigma _\text {th}$ for the baryonic Z' model for the five individual decay modes of the Higgs boson, ${\mathrm {h} \to {\mathrm {b \bar{b}}}}$, ${\mathrm {h} \to \gamma \gamma}$, ${\mathrm {h} \to {\tau} {\tau}}$, ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$, and ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$, as well as their combination. Various mass hypotheses for Z' are considered for a fixed value of ${m_\chi} = $ 1 GeV. The inner and outer shaded bands show the 68 and 95% CL uncertainties in the expected limit, respectively. |
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Figure 10:
The observed and expected 95% CL exclusion contours on $\sigma /\sigma _\text {th}$ in the ${m_ {{\mathrm {Z}^\prime}}}$ - ${m\mathrm {_A}}$ and ${m_ {{\mathrm {Z}^\prime}}}$ - ${m_\chi}$ planes for the Z'-2HDM (left) and baryonic Z' (right) models, respectively. The region enclosed by the contours is excluded using the combination of the five decay channels of the Higgs boson, ${\mathrm {h} \to {\mathrm {b \bar{b}}}}$, ${\mathrm {h} \to \gamma \gamma}$, ${\mathrm {h} \to {\tau} {\tau}}$, ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$, and ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$, for the benchmark scenarios: $ {g_{{\mathrm {Z}'}}}= $ 0.8, $ {g_{\chi}}= $ 1, $\tan\beta = $ 1, ${m_\chi} = $ 100 GeV, and ${m\mathrm {_A}} = m_ {\mathrm {H}} = {m_{\mathrm {H^{{\mu}}}}} $ for the Z'-2HDM and $g_{\chi} = $ 1, $g_{{\mathrm {q}}} = $ 0.25 for the baryonic Z' models. |
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Figure 10-a:
The observed and expected 95% CL exclusion contours on $\sigma /\sigma _\text {th}$ in the ${m_ {{\mathrm {Z}^\prime}}}$ - ${m\mathrm {_A}}$ plane for the Z'-2HDM model. The region enclosed by the contours is excluded using the combination of the five decay channels of the Higgs boson, ${\mathrm {h} \to {\mathrm {b \bar{b}}}}$, ${\mathrm {h} \to \gamma \gamma}$, ${\mathrm {h} \to {\tau} {\tau}}$, ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$, and ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$, for the benchmark scenario: $ {g_{{\mathrm {Z}'}}}= $ 0.8, $ {g_{\chi}}= $ 1, $\tan\beta = $ 1, ${m_\chi} = $ 100 GeV, and ${m\mathrm {_A}} = m_ {\mathrm {H}} = {m_{\mathrm {H^{{\mu}}}}} $. |
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Figure 10-b:
The observed and expected 95% CL exclusion contours on $\sigma /\sigma _\text {th}$ in the ${m_ {{\mathrm {Z}^\prime}}}$ - ${m_\chi}$ plane for the baryonic Z' models. The region enclosed by the contours is excluded using the combination of the five decay channels of the Higgs boson, ${\mathrm {h} \to {\mathrm {b \bar{b}}}}$, ${\mathrm {h} \to \gamma \gamma}$, ${\mathrm {h} \to {\tau} {\tau}}$, ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$, and ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$, for the benchmark scenario: $g_{\chi} = $ 1, $g_{{\mathrm {q}}} = $ 0.25. |
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Figure 11:
Observed 95% CL exclusion region in the ${m_ {{\mathrm {Z}^\prime}}}$ -$\tan\beta $ plane from the combination of the five Higgs boson decay channels, ${\mathrm {h} \to {\mathrm {b \bar{b}}}}$, ${\mathrm {h} \to \gamma \gamma}$, ${\mathrm {h} \to {\tau} {\tau}}$, ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$, and ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$. Each contour represents the excluded region for a given value of ${m\mathrm {_A}} = $ 300, 400, and 600 GeV. |
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Figure 12:
The 90% CL exclusion limits on the DM-nucleon spin-independent scattering cross section ${\sigma ^{\mathrm {SI}}}$, as a function of ${m_{\mathrm {DM}}}$. Results obtained in this analysis are compared with those from several direct-detection experiments: CRESST-II [89], CDMSLite [90], PandaX-II [91], LUX [92], XENON-1T [93], and CDEX-10 [94]. |
Summary |
A search for dark matter particles produced in association with a Higgs boson, using asample of proton-proton collision data corresponding to an integrated luminosity of 35.9 fb$^{-1}$, is presented. Results from five decay modes of the Higgs boson, h $\to$ bb, h $\to$ gg, h $\to$ tt, h $\to$ WW, and h $\to$ ZZ, are discussed, along with their statistical combination. No significant deviation from the standard model prediction is observed in any of the channels. The 95% CL upper limits on production cross section of dark matter in a type-II two Higgs doublet model extended by a Z0 boson and in the baryonic Z0 model are set. These limits constitute the most stringent limits on the parameters of these two models to date. The searches in the h $\to$ WW and h $\to$ ZZ decay channels are performed for the first time. These are the first results showing the combination of all five major decay channels of the Higgs boson. The interpretation of the results in the baryonic Z0 model in terms of the spin-independent dark matter nucleon scattering cross section yields higher sensitivity than the existing results from direct-detection experiments for dark matter particle masses less than 5 GeV, for the chosen benchmark model parameters. |
Additional Figures | |
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Additional Figure 1:
(left) The $m_{\mathrm {T}}^{\ell\ell,\text{met}}$ and (right) the leading lepton $p_{\mathrm {T}}$ distributions in data and simulation in the top enriched phase space. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 1-a:
The $m_{\mathrm {T}}^{\ell\ell,\text{met}}$ distribution in data and simulation in the top enriched phase space. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 1-b:
The leading lepton $p_{\mathrm {T}}$ distribution in data and simulation in the top enriched phase space. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 2:
(left) The $m_{\mathrm {T}}^{\ell\ell,\text{met}}$ and (right) the leading lepton $p_{\mathrm {T}}$ distributions in data and simulation in the same signed di-lepton control region. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 2-a:
The $m_{\mathrm {T}}^{\ell\ell,\text{met}}$ distribution in data and simulation in the same signed di-lepton control region. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 2-b:
The leading lepton $p_{\mathrm {T}}$ distribution in data and simulation in the same signed di-lepton control region. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 3:
(left) The ${\Delta \phi _{{\ell} {\ell}}}$ and (right) the leading lepton $p_{\mathrm {T}}$ distributions in data and simulation in the $ {{\mathrm {Z}} /\gamma ^*\to \tau ^+\tau ^-} {m_{{\ell} {\ell}}} < $ 76 GeV control region. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 3-a:
The ${\Delta \phi _{{\ell} {\ell}}}$ distribution in data and simulation in the $ {{\mathrm {Z}} /\gamma ^*\to \tau ^+\tau ^-} {m_{{\ell} {\ell}}} < $ 76 GeV control region. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 3-b:
The leading lepton $p_{\mathrm {T}}$ distribution in data and simulation in the $ {{\mathrm {Z}} /\gamma ^*\to \tau ^+\tau ^-} {m_{{\ell} {\ell}}} < $ 76 GeV control region. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 4:
(left) The $m_{\mathrm {T}}^{\ell\ell,\text{met}}$ and (right) the leading lepton $p_{\mathrm {T}}$ distributions in data and simulation in the WW enriched phase space. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 4-a:
The $m_{\mathrm {T}}^{\ell\ell,\text{met}}$ distribution in data and simulation in the WW enriched phase space. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 4-b:
The leading lepton $p_{\mathrm {T}}$ distribution in data and simulation in the WW enriched phase space. Points with error bars correspond to data, while the contributions of simulated SM background processes are shown with stacked histograms. |
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Additional Figure 5:
The observed 95% CL upper limits on $\mu = \sigma /\sigma _\text {th}$ and observed and expected exclusion contours in the $m_{\mathrm{Z}'}$-$m_{\mathrm{A}}$ and $m_{\mathrm{Z}'}$-$m_{\chi}$ planes for the Z′-2HDM (left) and baryonic Z′ (right) models, respectively, from the ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$ decay mode search. The observed exclusion contour for baryonic Z′ model is not visible because the observed limit on mu is larger than unity in the entire plane. |
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Additional Figure 5-a:
The observed 95% CL upper limits on $\mu = \sigma /\sigma _\text {th}$ and observed and expected exclusion contours in the $m_{\mathrm{Z}'}$-$m_{\mathrm{A}}$ and $m_{\mathrm{Z}'}$-$m_{\chi}$ planes for the Z′-2HDM model, from the ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$ decay mode search. |
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Additional Figure 5-b:
The observed 95% CL upper limits on $\mu = \sigma /\sigma _\text {th}$ and observed and expected exclusion contours in the $m_{\mathrm{Z}'}$-$m_{\mathrm{A}}$ and $m_{\mathrm{Z}'}$-$m_{\chi}$ planes for the baryonic Z′ model, from the ${\mathrm {h} \to {{\mathrm {W}} {\mathrm {W}}}}$ decay mode search. The observed exclusion contour is not visible because the observed limit on $\mu$ is larger than unity in the entire plane. |
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Additional Figure 6:
The observed 95% CL upper limits on $\mu = \sigma /\sigma _\text {th}$ in the $m_{\mathrm{Z}'}$-$m_{\mathrm{A}}$ and $m_{\mathrm{Z}'}$-$m_{\chi}$ planes for the Z′-2HDM (left) and baryonic Z′ (right) models, respectively, from the ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$ decay mode search. |
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Additional Figure 6-a:
The observed 95% CL upper limits on $\mu = \sigma /\sigma _\text {th}$ in the $m_{\mathrm{Z}'}$-$m_{\mathrm{A}}$ and $m_{\mathrm{Z}'}$-$m_{\chi}$ planes for the Z′-2HDM model, from the ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$ decay mode search. |
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Additional Figure 6-b:
The observed 95% CL upper limits on $\mu = \sigma /\sigma _\text {th}$ in the $m_{\mathrm{Z}'}$-$m_{\mathrm{A}}$ and $m_{\mathrm{Z}'}$-$m_{\chi}$ planes for the baryonic Z′ model, from the ${\mathrm {h} \to {\mathrm {Z}} {\mathrm {Z}}}$ decay mode search. |
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Compact Muon Solenoid LHC, CERN |