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CMS-PAS-EXO-16-037
Search for dark matter in final states with an energetic jet, or a hadronically decaying W or Z boson using 12.9 fb$^{-1}$ of data at $ \sqrt{s} = $ 13 TeV
Abstract: A search for dark matter is performed using events with large missing transverse momentum and one or more energetic jets in a data sample of proton-proton collisions at $ \sqrt{s} = $ 13 TeV, collected with the CMS detector at the LHC in the first half of 2016. The search includes events in which a hadronically decaying W or Z boson is produced in association with large missing transverse momentum. Results are presented in terms of limits on the dark matter production in association with jets or vector bosons using simplified models, and on the decay of the standard model Higgs boson to invisible particles. Vector and axial-vector mediators with masses up to 1.95 TeV are excluded at 95% confidence level. The exclusion for pseudoscalar (scalar) mediators reaches 430 (100) GeV. The observed (expected) upper limit on the invisible branching fraction of the standard model like Higgs boson is set at 0.44 (0.56) at 95% confidence level.
Figures & Tables Summary Additional Figures & Tables References CMS Publications
Figures

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Figure 1:
Monojet (a) and mono-V (b) production diagrams for a spin-1 mediator.

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Figure 1-a:
Monojet production diagram for a spin-1 mediator.

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Figure 1-b:
Mmono-V production diagram for a spin-1 mediator.

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Figure 2:
Monojet (a) and mono-V (b) production diagrams for a spin-0 mediator.

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Figure 2-a:
Monojet production diagram for a spin-0 mediator.

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Figure 2-b:
Mono-V production diagrams for a spin-0 mediator.

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Figure 3:
Comparison between data and Monte Carlo simulation in the dimuon control region before and after performing the simultaneous fit across all the control regions and the signal region. Plot (a) corresponds to the monojet category and plot (b) corresponds to the mono-V category. The orange histogram corresponds to all processes other than $ \mathrm {Z}(\mu \mu )$+jets. The gray band indicates the postfit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 3-a:
Comparison between data and Monte Carlo simulation in the dimuon control region before and after performing the simultaneous fit across all the control regions and the signal region. The plot corresponds to the monojet category. The orange histogram corresponds to all processes other than $ \mathrm {Z}(\mu \mu )$+jets. The gray band indicates the postfit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 3-b:
Comparison between data and Monte Carlo simulation in the dimuon control region before and after performing the simultaneous fit across all the control regions and the signal region. The plot corresponds to the mono-V category. The orange histogram corresponds to all processes other than $ \mathrm {Z}(\mu \mu )$+jets. The gray band indicates the postfit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 4:
Comparison between data and Monte Carlo simulation in the dielectron control region before and after performing the simultaneous fit across all the control regions and the signal region. Plot (a) corresponds to the monojet category and plot (b) corresponds to the mono-V category. The orange histogram corresponds to all processes other than $ \mathrm {Z(ee) } $+jets. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and $ {E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 4-a:
Comparison between data and Monte Carlo simulation in the dielectron control region before and after performing the simultaneous fit across all the control regions and the signal region. The plot corresponds to the monojet category. The orange histogram corresponds to all processes other than $ \mathrm {Z(ee) } $+jets. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and $ {E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 4-b:
Comparison between data and Monte Carlo simulation in the dielectron control region before and after performing the simultaneous fit across all the control regions and the signal region. The plot corresponds to the mono-V category. The orange histogram corresponds to all processes other than $ \mathrm {Z(ee) } $+jets. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and $ {E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 5:
Comparison between data and Monte Carlo simulation in the ${\gamma }$+jets control region before and after performing the simultaneous fit across all the control regions and the signal region. Plot (a) corresponds to the monojet category and plot (b) corresponds to the mono-V category. The orange histogram corresponds to the QCD multijets background. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and $ {E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 5-a:
Comparison between data and Monte Carlo simulation in the ${\gamma }$+jets control region before and after performing the simultaneous fit across all the control regions and the signal region. The plot corresponds to the monojet category. The orange histogram corresponds to the QCD multijets background. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and $ {E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 5-b:
Comparison between data and Monte Carlo simulation in the ${\gamma }$+jets control region before and after performing the simultaneous fit across all the control regions and the signal region. The plot corresponds to the mono-V category. The orange histogram corresponds to the QCD multijets background. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and $ {E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 6:
Comparison between data and Monte Carlo simulation in the single-muon control region before and after performing the simultaneous fit across all the control regions and the signal region. Plot (a) corresponds to the monojet category and plot (b) corresponds to the mono-V category. The orange histogram corresponds to all processes other than $ \mathrm {W}(\mu \nu )$+jets. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 6-a:
Comparison between data and Monte Carlo simulation in the single-muon control region before and after performing the simultaneous fit across all the control regions and the signal region. Plot (a) corresponds to the monojet category and plot (b) corresponds to the mono-V category. The orange histogram corresponds to all processes other than $ \mathrm {W}(\mu \nu )$+jets. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 6-b:
Comparison between data and Monte Carlo simulation in the single-muon control region before and after performing the simultaneous fit across all the control regions and the signal region. Plot (a) corresponds to the monojet category and plot (b) corresponds to the mono-V category. The orange histogram corresponds to all processes other than $ \mathrm {W}(\mu \nu )$+jets. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 7:
Comparison between data and Monte Carlo simulation in the single-electron control region before and after performing the simultaneous fit across all the control regions and the signal region. Plot (a) corresponds to the monojet category and plot (b) corresponds to the mono-V category. The orange histogram corresponds to all processes other than $ \mathrm {W (e\nu )}$+jets. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 7-a:
Comparison between data and Monte Carlo simulation in the single-electron control region before and after performing the simultaneous fit across all the control regions and the signal region. The plot corresponds to the monojet category. The orange histogram corresponds to all processes other than $ \mathrm {W (e\nu )}$+jets. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 7-b:
Comparison between data and Monte Carlo simulation in the single-electron control region before and after performing the simultaneous fit across all the control regions and the signal region. The plot corresponds to the mono-V category. The orange histogram corresponds to all processes other than $ \mathrm {W (e\nu )}$+jets. The gray band indicates the post-fit uncertainty after propagating all the systematic uncertainties to the fit. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV in the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV in the mono-V category.

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Figure 8:
Observed ${E_{\mathrm {T}}^{\text {miss}}}$ distribution in the monojet (a) and mono-V (b) signal regions compared with the post-fit background expectations for various SM processes. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV for the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV for the mono-V category. The expected background distributions are evaluated after performing a combined fit to the data in all the control regions. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 1.6 TeV axial-vector mediator decaying to 1 GeV dark matter particles, are overlaid. The ratio of data with the postfit background prediction is shown for both the monojet and mono-V signal regions. The gray bands in these ratio plots indicate the post-fit uncertainty on the background prediction. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the post-fit uncertainty on the prediction, are also added.

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Figure 8-a:
Observed ${E_{\mathrm {T}}^{\text {miss}}}$ distribution in the monojet signal regions compared with the post-fit background expectations for various SM processes. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV for the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV for the mono-V category. The expected background distributions are evaluated after performing a combined fit to the data in all the control regions. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 1.6 TeV axial-vector mediator decaying to 1 GeV dark matter particles, are overlaid. The ratio of data with the postfit background prediction is shown for both the monojet and mono-V signal regions. The gray bands in these ratio plots indicate the post-fit uncertainty on the background prediction. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the post-fit uncertainty on the prediction, are also added.

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Figure 8-b:
Observed ${E_{\mathrm {T}}^{\text {miss}}}$ distribution in the mono-V signal regions compared with the post-fit background expectations for various SM processes. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV for the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV for the mono-V category. The expected background distributions are evaluated after performing a combined fit to the data in all the control regions. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 1.6 TeV axial-vector mediator decaying to 1 GeV dark matter particles, are overlaid. The ratio of data with the postfit background prediction is shown for both the monojet and mono-V signal regions. The gray bands in these ratio plots indicate the post-fit uncertainty on the background prediction. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the post-fit uncertainty on the prediction, are also added.

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Figure 9:
Observed ${E_{\mathrm {T}}^{\text {miss}}}$ distribution in the monojet (a) and mono-V (b) signal regions compared with the post-fit background expectations for various SM processes. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV for the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV for the mono-V category. The expected background distributions are evaluated after performing a combined fit to the data in all the control regions, as well as the signal region. The fit is performed assuming no dark matter signal in the signal region. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 1.6 TeV axial-vector mediator decaying to 1 GeV dark matter particles, are overlaid. Ratios of data with the pre-fit background prediction (red points) and postfit background prediction (blue points) are shown for both the monojet and mono-V signal regions. The gray bands in these ratio plots indicate the post-fit uncertainty on the background prediction.

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Figure 9-a:
Observed ${E_{\mathrm {T}}^{\text {miss}}}$ distribution in the monojet signal regions compared with the post-fit background expectations for various SM processes. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV for the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV for the mono-V category. The expected background distributions are evaluated after performing a combined fit to the data in all the control regions, as well as the signal region. The fit is performed assuming no dark matter signal in the signal region. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 1.6 TeV axial-vector mediator decaying to 1 GeV dark matter particles, are overlaid. Ratios of data with the pre-fit background prediction (red points) and postfit background prediction (blue points) are shown for both the monojet and mono-V signal regions. The gray bands in these ratio plots indicate the post-fit uncertainty on the background prediction.

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Figure 9-b:
Observed ${E_{\mathrm {T}}^{\text {miss}}}$ distribution in the mono-V signal regions compared with the post-fit background expectations for various SM processes. The last bin includes all events with ${E_{\mathrm {T}}^{\text {miss}}} > $ 1160 GeV for the monojet category and ${E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV for the mono-V category. The expected background distributions are evaluated after performing a combined fit to the data in all the control regions, as well as the signal region. The fit is performed assuming no dark matter signal in the signal region. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 1.6 TeV axial-vector mediator decaying to 1 GeV dark matter particles, are overlaid. Ratios of data with the pre-fit background prediction (red points) and postfit background prediction (blue points) are shown for both the monojet and mono-V signal regions. The gray bands in these ratio plots indicate the post-fit uncertainty on the background prediction.

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Figure 10:
Exclusion limits at 95% CL on the $\mu =\sigma /\sigma _{\textrm {th}}$ in the $m_{\textrm {med}}$-$m_{\textrm {DM}}$ plane assuming vector (a) and axial-vector (b) mediators. The solid (dotted) red (blue) line shows the contour for the observed (expected) exclusion. The solid contours around the observed limit and the dashed contours around the expected limit represent one standard deviation due theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively. Cosmological constraints from the WMAP and Planck experiments [74,78] are shown with the dark green line.

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Figure 10-a:
Exclusion limits at 95% CL on the $\mu =\sigma /\sigma _{\textrm {th}}$ in the $m_{\textrm {med}}$-$m_{\textrm {DM}}$ plane assuming a vector mediator. The solid (dotted) red (blue) line shows the contour for the observed (expected) exclusion. The solid contours around the observed limit and the dashed contours around the expected limit represent one standard deviation due theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively. Cosmological constraints from the WMAP and Planck experiments [74,78] are shown with the dark green line.

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Figure 10-b:
Exclusion limits at 95% CL on the $\mu =\sigma /\sigma _{\textrm {th}}$ in the $m_{\textrm {med}}$-$m_{\textrm {DM}}$ plane assuming an axial-vector mediator. The solid (dotted) red (blue) line shows the contour for the observed (expected) exclusion. The solid contours around the observed limit and the dashed contours around the expected limit represent one standard deviation due theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively. Cosmological constraints from the WMAP and Planck experiments [74,78] are shown with the dark green line.

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Figure 11:
Exclusion limits at 95% CL on the $\mu =\sigma /\sigma _{\textrm {th}}$ in the $m_{\textrm {med}}$-$m_{\textrm {DM}}$ plane assuming scalar (a) and pseudoscalar (b) mediators. The red line shows the contour for the observed exclusion. The solid red contours around the observed limit represent one standard deviation due theoretical uncertainties in the signal cross section. The dashed blue contour in the case of the scalar mediator shows the -1$\sigma $ deviation due to the combination of the statistical and experimental systematic uncertainties. Cosmological constraints from the WMAP and Planck experiments [74,78] are shown with the dark green line.

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Figure 11-a:
Exclusion limits at 95% CL on the $\mu =\sigma /\sigma _{\textrm {th}}$ in the $m_{\textrm {med}}$-$m_{\textrm {DM}}$ plane assuming a scalar mediator. The red line shows the contour for the observed exclusion. The solid red contours around the observed limit represent one standard deviation due theoretical uncertainties in the signal cross section. The dashed blue contour in the case of the scalar mediator shows the -1$\sigma $ deviation due to the combination of the statistical and experimental systematic uncertainties. Cosmological constraints from the WMAP and Planck experiments [74,78] are shown with the dark green line.

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Figure 11-b:
Exclusion limits at 95% CL on the $\mu =\sigma /\sigma _{\textrm {th}}$ in the $m_{\textrm {med}}$-$m_{\textrm {DM}}$ plane assuming a pseudoscalar mediator. The red line shows the contour for the observed exclusion. The solid red contours around the observed limit represent one standard deviation due theoretical uncertainties in the signal cross section. The dashed blue contour in the case of the scalar mediator shows the -1$\sigma $ deviation due to the combination of the statistical and experimental systematic uncertainties. Cosmological constraints from the WMAP and Planck experiments [74,78] are shown with the dark green line.

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Figure 12:
Expected (dotted black line) and observed (solid black line) 95% CL upper limits on the signal strength $\mu $ as a function of the mediator mass for the spin-0 models. Limits for the pseudoscalar model, assuming only the monojet signal process.

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Figure 12-a:
Expected (dotted black line) and observed (solid black line) 95% CL upper limits on the signal strength $\mu $ as a function of the mediator mass for the spin-0 models. Limits for the scalar model on the combined cross section of the monojet and mono-V processes.

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Figure 12-b:
Expected (dotted black line) and observed (solid black line) 95% CL upper limits on the signal strength $\mu $ as a function of the mediator mass for the spin-0 models. Limits for the scalar model, assuming only the monojet signal process.

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Figure 12-c:
Expected (dotted black line) and observed (solid black line) 95% CL upper limits on the signal strength $\mu $ as a function of the mediator mass for the spin-0 models. Limits for the pseudoscalar model, assuming only the monojet signal process.

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Figure 13:
Exclusion limits at 90% CL in the $m_{\textrm {DM}}$-$\sigma _{\textrm {SI/SD}}$ plane assuming for vector (a) and axial-vector (b) mediator models. The solid (dotted) red line shows the contour for the observed (expected) exclusion using 12.9 fb$^{-1}$ of 13 TeV data. Limits from CDMSLite [81], LUX [82], PandaX-II [83] and CRESST-II [84] experiments are shown for the vector mediator. Limits from PICO-2L [85], PICO-60 [86], IceCube [87] and Super-Kamiokande [88] experiments are shown for the axial-vector mediator.

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Figure 13-a:
Exclusion limits at 90% CL in the $m_{\textrm {DM}}$-$\sigma _{\textrm {SI/SD}}$ plane assuming for the vector mediator model. The solid (dotted) red line shows the contour for the observed (expected) exclusion using 12.9 fb$^{-1}$ of 13 TeV data. Limits from CDMSLite [81], LUX [82], PandaX-II [83] and CRESST-II [84] experiments are shown for the vector mediator. Limits from PICO-2L [85], PICO-60 [86], IceCube [87] and Super-Kamiokande [88] experiments are shown for the axial-vector mediator.

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Figure 13-b:
Exclusion limits at 90% CL in the $m_{\textrm {DM}}$-$\sigma _{\textrm {SI/SD}}$ plane assuming for the axial-vector mediator model. The solid (dotted) red line shows the contour for the observed (expected) exclusion using 12.9 fb$^{-1}$ of 13 TeV data. Limits from CDMSLite [81], LUX [82], PandaX-II [83] and CRESST-II [84] experiments are shown for the vector mediator. Limits from PICO-2L [85], PICO-60 [86], IceCube [87] and Super-Kamiokande [88] experiments are shown for the axial-vector mediator.

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Figure 14:
Exclusion limits at 90% CL in the $m_{\textrm {DM}}$-$\sigma _{\textrm {SI/SD}}$ plane for scalar (a) and pseudoscalar (b) mediator models. The solid red line shows the contour for the observed exclusion using 12.9 fb$^{-1}$ of 13 TeV data. Limits from the CDMSLite [81], LUX [82], PandaX-II [83] and CRESST-II [84] experiments are shown for the scalar mediator case. For the pseudoscalar mediator, limits are compared to the the DM annihilation cross section upper limits from Fermi-LAT [91].

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Figure 14-a:
Exclusion limits at 90% CL in the $m_{\textrm {DM}}$-$\sigma _{\textrm {SI/SD}}$ plane for the scalar mediator model. The solid red line shows the contour for the observed exclusion using 12.9 fb$^{-1}$ of 13 TeV data. Limits from the CDMSLite [81], LUX [82], PandaX-II [83] and CRESST-II [84] experiments are shown for the scalar mediator case. For the pseudoscalar mediator, limits are compared to the the DM annihilation cross section upper limits from Fermi-LAT [91].

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Figure 14-b:
Exclusion limits at 90% CL in the $m_{\textrm {DM}}$-$\sigma _{\textrm {SI/SD}}$ plane for the pseudoscalar mediator model. The solid red line shows the contour for the observed exclusion using 12.9 fb$^{-1}$ of 13 TeV data. Limits from the CDMSLite [81], LUX [82], PandaX-II [83] and CRESST-II [84] experiments are shown for the scalar mediator case. For the pseudoscalar mediator, limits are compared to the the DM annihilation cross section upper limits from Fermi-LAT [91].

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Figure 15:
95% CL expected (dotted black line) and observed (solid black line) upper limits on the invisible branching fraction of the 125 GeV SM-like Higgs boson. Limits are shown for the monojet and mono-V categories separately, and also for their combination.
Tables

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Table 1:
Expected and observed 95% CL upper limits on $\sigma \times {\cal B}(\textrm {H} \rightarrow \textrm {invisible}) / \sigma _{\textrm {H}}$ for the 125 GeV SM-like Higgs boson. Limits are tabulated for the monojet and mono-V categories separately, and also for their combination. The 1$\sigma $ uncertainty range on the expected limits is listed. The signal composition in terms of gluon fusion, vector boson fusion, Higgs-strahlung, and an associated production with a W or Z boson is also provided.
Summary
A search for DM has been performed using events with jets and large $E_{\mathrm{T}}^{\text{miss}}$ in the 13 TeV proton-proton collision data corresponding to an integrated luminosity of 12.9 fb$^{-1}$. No significant excess is observed with respect to the SM backgrounds. Limits are computed on the DM production cross section using simplified models in which DM production is mediated by spin-1 or spin-0 particles. Vector and axial-vector mediators with masses up to 1.95 TeV are excluded at 95% CL. Scalar and pseudoscalar mediators with masses up to 100 and 430 GeV, respectively, are excluded at 95% CL. The search yields an observed (expected) upper limit of 0.44 (0.56) at 95% CL on the invisible branching fraction of the 125 GeV Higgs boson assuming SM production cross section.
Additional Figures

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Additional Figure 1:
Event displays showing the $\rho $-$\phi $ view of events passing the monojet selection (a) and the mono-V selection (b). Event shown in (a) is also one of the highest ${E_{\mathrm {T}}^{\text {miss}}}$ event included in the analysis.

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Additional Figure 1-a:
Event displays showing the $\rho$-$\phi $ view of events passing the monojet selection. The event is also one of the highest ${E_{\mathrm {T}}^{\text {miss}}}$ event included in the analysis.

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Additional Figure 1-b:
Event displays showing the $\rho $-$\phi $ view of events passing the mono-V selection.

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Additional Figure 2:
Event displays showing the $\rho $-$z$ view of events passing the monojet selection (a) and the mono-V selection (b). Event shown in (a) is also one of the highest ${E_{\mathrm {T}}^{\text {miss}}}$ event included in the analysis.

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Additional Figure 2-a:
Event displays showing the $\rho $-$z$ view of events passing the monojet selection. The event is also one of the highest ${E_{\mathrm {T}}^{\text {miss}}}$ event included in the analysis.

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Additional Figure 2-b:
Event displays showing the $\rho $-$z$ view of events passing the mono-V selection.

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Additional Figure 3:
Event displays showing the three-dimensional view of events passing the monojet selection (a) and the mono-V selection (b). Event shown in (a) is also one of the highest ${E_{\mathrm {T}}^{\text {miss}}}$ event included in the analysis.

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Additional Figure 3-a:
Event displays showing the three-dimensional view of events passing the monojet selection. The event is also one of the highest ${E_{\mathrm {T}}^{\text {miss}}}$ event included in the analysis.

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Additional Figure 3-b:
Event displays showing the three-dimensional view of events passing the mono-V selection.
Additional Tables

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Additional Table 1:
Events yields of the various processes in each ${E_{\mathrm {T}}^{\text {miss}}}$ bin in the monojet category. The yields and the corresponding uncertainties are obtained after performing a combined fit of the signal and the control regions. The fit is performed assuming no signal. Total background predictions before (Total Prefit) and after (Total Postfit) the fit is performed are also shown.

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Additional Table 2:
Events yields of the various processes in each ${E_{\mathrm {T}}^{\text {miss}}}$ bin in the monojet category. The yields and the corresponding uncertainties are obtained after performing a combined fit of the signal and the control regions. When the expected background prediction was found to be 0 for a given bin, the statistical accuracy of the given process is shown as the upper bound. The fit is performed assuming no signal. Total background predictions before (Total Prefit) and after (Total Postfit) the fit is performed are also shown.

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Additional Table 3:
Events yields of the various processes in each ${E_{\mathrm {T}}^{\text {miss}}}$ bin in the mono-V category. The yields and the corresponding uncertainties are obtained after performing a combined fit of the signal and the control regions. When the expected background prediction was found to be 0 for a given bin, the statistical accuracy of the given process is shown as the upper bound. The fit is performed assuming no signal. Total background predictions before (Total Prefit) and after (Total Postfit) the fit is performed are also shown.
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