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| CMS-PAS-EXO-21-012 | ||
| Search for dark matter particles produced in W$^{+}$W$^{-} $ events with transverse momentum imbalance in proton-proton collisions at $ \sqrt{s}= $ 13 TeV with the CMS detector | ||
| CMS Collaboration | ||
| 8 March 2023 | ||
| Abstract: A search for dark matter particles is performed using events with a pair of W bosons and large missing transverse momentum. Candidates are selected by requiring one or two leptons (electrons or muons) from the W boson decays. The analysis is based on proton-proton collision data taken at a center-of-mass energy of 13 TeV by the CMS experiment at the LHC and corresponding to an integrated luminosity of 137 fb$ ^{-1} $. No significant excess over the expected standard model background is observed in the semi- and di-leptonic final states of the W$^{+}$W$^{-}$ decay channel. Limits are set on dark matter production in the context of a dark Higgs simplified model, with a dark Higgs mass above the W$^{+}$W$^{-}$ mass threshold. | ||
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Links:
CDS record (PDF) ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, Submitted to JHEP. The superseded preliminary plots can be found here. |
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| Figures | |
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Figure 1:
Representative Born-level Feynman diagrams for the benchmark signal model considered in this note: $ q \bar q \to \mathrm{Z}^{'} \to s \chi \chi $, and $ s \to \mathrm{W^+}\mathrm{W^-} $. |
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Figure 1-a:
Representative Born-level Feynman diagrams for the benchmark signal model considered in this note: $ q \bar q \to \mathrm{Z}^{'} \to s \chi \chi $, and $ s \to \mathrm{W^+}\mathrm{W^-} $. |
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Figure 1-b:
Representative Born-level Feynman diagrams for the benchmark signal model considered in this note: $ q \bar q \to \mathrm{Z}^{'} \to s \chi \chi $, and $ s \to \mathrm{W^+}\mathrm{W^-} $. |
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Figure 2:
Normalized $ m_{\mathrm{T}}^{\ell\, \text{min}, p_{\mathrm{T}}^\text{miss}} $ distribution in the di-leptonic channel for a signal with $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV, after the event preselection criteria are applied. Predictions of the two main backgrounds of the analysis, WW and $ \mathrm{t}\mathrm{W} $\text{and} $ {\mathrm{t}\bar{\mathrm{t}}} $, are shown as blue and yellow solid lines respectively. The last bin includes the overflow. |
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Figure 3:
Unrolled $ m_{\ell\ell}-m_{\mathrm{T}}^{\ell\,\text{min}, p_{\mathrm{T}}^\text{miss}} $ post-fit distributions in the di-leptonic channel for three signal regions SR1 (top left), SR2 (top right), and SR3 (bottom), for the full data set. The histogram bins are spaced uniformly. Each group of five bins (from left to right) corresponds to the $ m_{\mathrm{T}}^{\ell\,\text{min}, p_{\mathrm{T}}^\text{miss}} $ distribution in a $ m_{\ell\ell} $ region, placed in ascending order. The black line indicates the signal prediction for $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
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Figure 3-a:
Unrolled $ m_{\ell\ell}-m_{\mathrm{T}}^{\ell\,\text{min}, p_{\mathrm{T}}^\text{miss}} $ post-fit distributions in the di-leptonic channel for three signal regions SR1 (top left), SR2 (top right), and SR3 (bottom), for the full data set. The histogram bins are spaced uniformly. Each group of five bins (from left to right) corresponds to the $ m_{\mathrm{T}}^{\ell\,\text{min}, p_{\mathrm{T}}^\text{miss}} $ distribution in a $ m_{\ell\ell} $ region, placed in ascending order. The black line indicates the signal prediction for $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
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Figure 3-b:
Unrolled $ m_{\ell\ell}-m_{\mathrm{T}}^{\ell\,\text{min}, p_{\mathrm{T}}^\text{miss}} $ post-fit distributions in the di-leptonic channel for three signal regions SR1 (top left), SR2 (top right), and SR3 (bottom), for the full data set. The histogram bins are spaced uniformly. Each group of five bins (from left to right) corresponds to the $ m_{\mathrm{T}}^{\ell\,\text{min}, p_{\mathrm{T}}^\text{miss}} $ distribution in a $ m_{\ell\ell} $ region, placed in ascending order. The black line indicates the signal prediction for $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
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Figure 3-c:
Unrolled $ m_{\ell\ell}-m_{\mathrm{T}}^{\ell\,\text{min}, p_{\mathrm{T}}^\text{miss}} $ post-fit distributions in the di-leptonic channel for three signal regions SR1 (top left), SR2 (top right), and SR3 (bottom), for the full data set. The histogram bins are spaced uniformly. Each group of five bins (from left to right) corresponds to the $ m_{\mathrm{T}}^{\ell\,\text{min}, p_{\mathrm{T}}^\text{miss}} $ distribution in a $ m_{\ell\ell} $ region, placed in ascending order. The black line indicates the signal prediction for $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
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Figure 4:
Post-fit BDT distributions in the semi-leptonic channel for the full data set in the top CR (top left) and $ \mathrm{W}+ $jets CR (top right). The signal region has different binning in 2016 (bottom left) and 2017-2018 (bottom right) to ensure good statistical precision in all bins. The red line indicates the signal prediction when $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
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Figure 4-a:
Post-fit BDT distributions in the semi-leptonic channel for the full data set in the top CR (top left) and $ \mathrm{W}+ $jets CR (top right). The signal region has different binning in 2016 (bottom left) and 2017-2018 (bottom right) to ensure good statistical precision in all bins. The red line indicates the signal prediction when $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
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Figure 4-b:
Post-fit BDT distributions in the semi-leptonic channel for the full data set in the top CR (top left) and $ \mathrm{W}+ $jets CR (top right). The signal region has different binning in 2016 (bottom left) and 2017-2018 (bottom right) to ensure good statistical precision in all bins. The red line indicates the signal prediction when $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
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Figure 4-c:
Post-fit BDT distributions in the semi-leptonic channel for the full data set in the top CR (top left) and $ \mathrm{W}+ $jets CR (top right). The signal region has different binning in 2016 (bottom left) and 2017-2018 (bottom right) to ensure good statistical precision in all bins. The red line indicates the signal prediction when $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
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Figure 4-d:
Post-fit BDT distributions in the semi-leptonic channel for the full data set in the top CR (top left) and $ \mathrm{W}+ $jets CR (top right). The signal region has different binning in 2016 (bottom left) and 2017-2018 (bottom right) to ensure good statistical precision in all bins. The red line indicates the signal prediction when $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
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Figure 5:
Observed (expected) exclusion regions at 95% CL for the dark Higgs model in the ($ m_{s} $, $ m_{\mathrm{Z}^{'}} $) plane, marked by the solid red (black) line. The expected $ \pm $ 1$ \sigma $ and $ \pm $ 2$ \sigma $ bands are shown as the thinner black lines. Upper left: $ m_{\chi} = $ 100 GeV, upper right: $ m_{\chi} = $ 150 GeV, lower left: $ m_{\chi} = $ 200 GeV, lower right: $ m_{\chi} = $ 300 GeV. The gray line indicates were the model parameters produce exactly the observed relic density $ \Omega_c h^2 = $ 0.12 [7]. |
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Figure 5-a:
Observed (expected) exclusion regions at 95% CL for the dark Higgs model in the ($ m_{s} $, $ m_{\mathrm{Z}^{'}} $) plane, marked by the solid red (black) line. The expected $ \pm $ 1$ \sigma $ and $ \pm $ 2$ \sigma $ bands are shown as the thinner black lines. Upper left: $ m_{\chi} = $ 100 GeV, upper right: $ m_{\chi} = $ 150 GeV, lower left: $ m_{\chi} = $ 200 GeV, lower right: $ m_{\chi} = $ 300 GeV. The gray line indicates were the model parameters produce exactly the observed relic density $ \Omega_c h^2 = $ 0.12 [7]. |
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Figure 5-b:
Observed (expected) exclusion regions at 95% CL for the dark Higgs model in the ($ m_{s} $, $ m_{\mathrm{Z}^{'}} $) plane, marked by the solid red (black) line. The expected $ \pm $ 1$ \sigma $ and $ \pm $ 2$ \sigma $ bands are shown as the thinner black lines. Upper left: $ m_{\chi} = $ 100 GeV, upper right: $ m_{\chi} = $ 150 GeV, lower left: $ m_{\chi} = $ 200 GeV, lower right: $ m_{\chi} = $ 300 GeV. The gray line indicates were the model parameters produce exactly the observed relic density $ \Omega_c h^2 = $ 0.12 [7]. |
png pdf |
Figure 5-c:
Observed (expected) exclusion regions at 95% CL for the dark Higgs model in the ($ m_{s} $, $ m_{\mathrm{Z}^{'}} $) plane, marked by the solid red (black) line. The expected $ \pm $ 1$ \sigma $ and $ \pm $ 2$ \sigma $ bands are shown as the thinner black lines. Upper left: $ m_{\chi} = $ 100 GeV, upper right: $ m_{\chi} = $ 150 GeV, lower left: $ m_{\chi} = $ 200 GeV, lower right: $ m_{\chi} = $ 300 GeV. The gray line indicates were the model parameters produce exactly the observed relic density $ \Omega_c h^2 = $ 0.12 [7]. |
png pdf |
Figure 5-d:
Observed (expected) exclusion regions at 95% CL for the dark Higgs model in the ($ m_{s} $, $ m_{\mathrm{Z}^{'}} $) plane, marked by the solid red (black) line. The expected $ \pm $ 1$ \sigma $ and $ \pm $ 2$ \sigma $ bands are shown as the thinner black lines. Upper left: $ m_{\chi} = $ 100 GeV, upper right: $ m_{\chi} = $ 150 GeV, lower left: $ m_{\chi} = $ 200 GeV, lower right: $ m_{\chi} = $ 300 GeV. The gray line indicates were the model parameters produce exactly the observed relic density $ \Omega_c h^2 = $ 0.12 [7]. |
| Tables | |
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Table 1:
Summary of all variables considered in the BDT for the semi-leptonic channel. |
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Table 2:
Summary of the event preselection criteria in the di-leptonic channel. |
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Table 3:
Selection criteria for the leptons for 2016, 2017 and 2018 data in the semi-leptonic channel. The $ p_{\mathrm{T}} $ thresholds are chosen to be on the single lepton trigger threshold. |
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Table 4:
Summary of the event preselection criteria for the semi-leptonic channel. |
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Table 5:
Data and background yields for each data period and signal region in the di-leptonic channel. Central values and uncertainties of the background contributions correspond to the post-fit values. The signal prediction corresponds to pre-fit yields and uncertainties for a sample with $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
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Table 6:
Data and background yields for the semi-leptonic channel with a BDT discriminator score above 0.6. Central values and uncertainties of the background contributions correspond to the post-fit values. The signal prediction corresponds to the pre-fit yields and uncertainties for a sample with $ m_{s} = $ 160 GeV, $ m_{\chi} = $ 100 GeV, and $ m_{\mathrm{Z}^{'}} = $ 500 GeV. |
| Summary |
| A search for dark matter particles produced in association with a dark Higgs boson has been presented. A sample of proton-proton collision data at a center-of-mass energy of 13 TeV is used, corresponding to an integrated luminosity of 137 fb$ ^{-1} $. The decay mode of the dark Higgs boson to a W$^{+}$W$^{-}$pair has been explored; this is the first time the CMS Collaboration explores this new physics scenario. Results from the combination of di-leptonic and semi-leptonic analysis channels of the W$^{+}$W$^{-}$pair are presented. No significant deviation from the Standard Model prediction is observed, so upper limits at 95% confidence level on the production cross section of dark matter are set on the dark Higgs model parameters. This analysis extends the search from previous public results to a wider DM mass range, from 100 GeV to 300 GeV, and extends the limit on $ m_{\mathrm{Z}^{'}} $ masses in the region 160 GeV $< m_{s} \lesssim $ 250 GeV for $ m_{DM} = $ 200 GeV. The most stringent limit is set for a $ m_{DM} = $ 200 GeV, excluding $ m_{s} $ masses up to $ \approx $350 GeV at $ m_{\mathrm{Z}^{'}} $ masses of 700 GeV, and up to $ m_{\mathrm{Z}^{'}} \approx $ 2200 GeV for a $ m_{s} = $ 160 GeV. |
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