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CMS-PAS-EXO-16-048
Search for new physics in final states with an energetic jet or a hadronically decaying W or Z boson using 35.9 fb$^{-1}$ of data at $\sqrt{s} = $ 13 TeV
Abstract: A search for dark matter and extra dimensions are presented using events containing an imbalance in transverse momentum and one or more energetic jets. The data of proton-proton collisions at the LHC were collected with the CMS detector, and correspond to an integrated luminosity of 35.9 fb$^{-1}$. Results are presented in terms of limits on the dark matter production in association with jets or vector bosons in a simplified models, nonthermal dark matter models, and fermion portal dark matter models. Results are also interpreted in terms of the decay of the standard model Higgs boson to invisible particles and as limits on the Planck scale in the ADD model with large extra spatial dimensions.
Figures & Tables Summary Additional Figures & Tables References CMS Publications
Figures

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Figure 1:
Diagrams of the main production mechanisms of DM particles in the FP model in association with a single quark or gluon at the LHC. Both diagrams result in monojet signatures.

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Figure 1-a:
Diagram of the production mechanism of DM particles in the FP model in association with a single quark at the LHC. The diagrams results in a monojet signature.

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Figure 1-b:
Diagram of the production mechanism of DM particles in the FP model in association with a gluon at the LHC. The diagrams results in a monojet signature.

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Figure 2:
Diagram of the main production mechanism of DM particles in the nonthermal model in one jet final state.

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Figure 3:
Comparison between data and Monte Carlo simulation of the Z($\ell \ell $)/$\gamma$+jets, Z($\ell \ell $)/W($\ell \nu $), and W($\ell \nu $)/$\gamma$+jets ratio as a function of the hadronic recoil in the monojet category. The gray bands include both the (pre-fit) systematic uncertainties and the statistical uncertainty in the simulation.

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Figure 3-a:
Comparison between data and Monte Carlo simulation of the Z($\ell \ell $)/$\gamma$+jets ratio as a function of the hadronic recoil in the monojet category. The gray band includes both the (pre-fit) systematic uncertainties and the statistical uncertainty in the simulation.

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Figure 3-b:
Comparison between data and Monte Carlo simulation of the Z($\ell \ell $)/W($\ell \nu $) ratio as a function of the hadronic recoil in the monojet category. The gray band includes both the (pre-fit) systematic uncertainties and the statistical uncertainty in the simulation.

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Figure 3-c:
Comparison between data and Monte Carlo simulation of the W($\ell \nu $)/$\gamma$+jets ratio as a function of the hadronic recoil in the monojet category. The gray band includes both the (pre-fit) systematic uncertainties and the statistical uncertainty in the simulation.

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Figure 4:
Comparison between data and Monte Carlo simulation in the $\gamma$+jets control sample before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. The left plot shows the monojet category and the right plot shows the mono-V category. The hadronic recoil ${p_{\mathrm {T}}}$ in $\gamma$+jets events is used as a proxy for ${E_{\mathrm {T}}^{\text {miss}}}$ in the signal region. The last bin includes all events with hadronic recoil ${p_{\mathrm {T}}}$ larger than 1250 (750) GeV in the monojet (mono-V) category. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown for both the monojet and mono-V categories. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 4-a:
Comparison between data and Monte Carlo simulation in the $\gamma$+jets control sample before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. The plot shows the monojet category. The hadronic recoil ${p_{\mathrm {T}}}$ in $\gamma$+jets events is used as a proxy for ${E_{\mathrm {T}}^{\text {miss}}}$ in the signal region. The last bin includes all events with hadronic recoil ${p_{\mathrm {T}}}$ larger than 1250 GeV. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 4-b:
Comparison between data and Monte Carlo simulation in the $\gamma$+jets control sample before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. The plot shows the mono-V category. The hadronic recoil ${p_{\mathrm {T}}}$ in $\gamma$+jets events is used as a proxy for ${E_{\mathrm {T}}^{\text {miss}}}$ in the signal region. The last bin includes all events with hadronic recoil ${p_{\mathrm {T}}}$ larger than 750 GeV. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 5:
Comparison between data and Monte Carlo simulation in the dilepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the monojet and mono-V categories, respectively, in the dimuon control sample. The hadronic recoil ${p_{\mathrm {T}}}$ in dilepton events is used as a proxy for ${E_{\mathrm {T}}^{\text {miss}}}$ in the signal region. The last bin includes all events with hadronic recoil ${p_{\mathrm {T}}}$ larger than 1250 (750) GeV in the monojet (mono-V) category. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown for both the monojet and mono-V signal regions. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 5-a:
Comparison between data and Monte Carlo simulation in the dilepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the monojet category, in the dimuon control sample. The hadronic recoil ${p_{\mathrm {T}}}$ in dilepton events is used as a proxy for ${E_{\mathrm {T}}^{\text {miss}}}$ in the signal region. The last bin includes all events with hadronic recoil ${p_{\mathrm {T}}}$ larger than 1250 GeV. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 5-b:
Comparison between data and Monte Carlo simulation in the dilepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the mono-V category, in the dimuon control sample. The hadronic recoil ${p_{\mathrm {T}}}$ in dilepton events is used as a proxy for ${E_{\mathrm {T}}^{\text {miss}}}$ in the signal region. The last bin includes all events with hadronic recoil ${p_{\mathrm {T}}}$ larger than 750 GeV. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 6:
Comparison between data and Monte Carlo simulation in the dilepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the monojet and mono-V categories, respectively, in the dielectron control sample. The hadronic recoil ${p_{\mathrm {T}}}$ in dilepton events is used as a proxy for ${E_{\mathrm {T}}^{\text {miss}}}$ in the signal region. The last bin includes all events with hadronic recoil ${p_{\mathrm {T}}}$ larger than 1250 (750) GeV in the monojet (mono-V) category. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown for both the monojet and mono-V signal regions. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 6-a:
Comparison between data and Monte Carlo simulation in the dilepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the monojet category, in the dielectron control sample. The hadronic recoil ${p_{\mathrm {T}}}$ in dilepton events is used as a proxy for ${E_{\mathrm {T}}^{\text {miss}}}$ in the signal region. The last bin includes all events with hadronic recoil ${p_{\mathrm {T}}}$ larger than 1250 GeV. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 6-b:
Comparison between data and Monte Carlo simulation in the dilepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the mono-V category, in the dielectron control sample. The hadronic recoil ${p_{\mathrm {T}}}$ in dilepton events is used as a proxy for ${E_{\mathrm {T}}^{\text {miss}}}$ in the signal region. The last bin includes all events with hadronic recoil ${p_{\mathrm {T}}}$ larger than 750 GeV. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 7:
Comparison between data and Monte Carlo simulation in the single-lepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the monojet and mono-V categories, respectively, in the single-muon control sample. The hadronic recoil $ {p_{\mathrm {T}}} $ in single-lepton events is used as a proxy for $ {E_{\mathrm {T}}^{\text {miss}}} $ in the signal region. The last bin includes all events with hadronic recoil $ {p_{\mathrm {T}}} $ larger than 1250 (750) GeV in the monojet (mono-V) category. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown for both the monojet and mono-V signal regions. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 7-a:
Comparison between data and Monte Carlo simulation in the single-lepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the monojet category, in the single-muon control sample. The hadronic recoil $ {p_{\mathrm {T}}} $ in single-lepton events is used as a proxy for $ {E_{\mathrm {T}}^{\text {miss}}} $ in the signal region. The last bin includes all events with hadronic recoil $ {p_{\mathrm {T}}} $ larger than 1250 GeV. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 7-b:
Comparison between data and Monte Carlo simulation in the single-lepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the mono-V category, in the single-muon control sample. The hadronic recoil $ {p_{\mathrm {T}}} $ in single-lepton events is used as a proxy for $ {E_{\mathrm {T}}^{\text {miss}}} $ in the signal region. The last bin includes all events with hadronic recoil $ {p_{\mathrm {T}}} $ larger than 750 GeV. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 8:
Comparison between data and Monte Carlo simulation in the single-lepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the monojet and mono-V categories, respectively, in the single-electron control sample. The hadronic recoil $ {p_{\mathrm {T}}} $ in single-lepton events is used as a proxy for $ {E_{\mathrm {T}}^{\text {miss}}} $ in the signal region. The last bin includes all events with hadronic recoil $ {p_{\mathrm {T}}} $ larger than 1250 (750) GeV in the monojet (mono-V) category. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown for both the monojet and mono-V signal regions. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 8-a:
Comparison between data and Monte Carlo simulation in the single-lepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the monojet category, in the single-electron control sample. The hadronic recoil $ {p_{\mathrm {T}}} $ in single-lepton events is used as a proxy for $ {E_{\mathrm {T}}^{\text {miss}}} $ in the signal region. The last bin includes all events with hadronic recoil $ {p_{\mathrm {T}}} $ larger than 1250 GeV. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 8-b:
Comparison between data and Monte Carlo simulation in the single-lepton control samples before and after performing the simultaneous fit across all the control samples and the signal region assuming the absence of any signal. Plots correspond to the mono-V category, in the single-electron control sample. The hadronic recoil $ {p_{\mathrm {T}}} $ in single-lepton events is used as a proxy for $ {E_{\mathrm {T}}^{\text {miss}}} $ in the signal region. The last bin includes all events with hadronic recoil $ {p_{\mathrm {T}}} $ larger than 750 GeV. The gray histogram indicates the multijet background. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band in the ratio panel indicates the post-fit uncertainty after combining all the systematic uncertainties. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 9:
Observed $ {E_{\mathrm {T}}^{\text {miss}}} $ distribution in the monojet (left) and mono-V (right) 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}}} > $ 1250 (750) GeV for the monojet (mono-V) category. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, but not including the signal region. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 2 TeV axial-vector mediator decaying to 1 GeV DM particles, are overlaid. Ratios of data with the pre-fit background prediction (red points) and post-fit 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 in the background prediction. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 9-a:
Observed $ {E_{\mathrm {T}}^{\text {miss}}} $ distribution in the monojet signal region compared with the post-fit background expectations for various SM processes. The last bin includes all events with $ {E_{\mathrm {T}}^{\text {miss}}} > $ 1250 GeV. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, but not including the signal region. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 2 TeV axial-vector mediator decaying to 1 GeV DM particles, are overlaid. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band indicates the post-fit uncertainty in the background prediction. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 9-b:
Observed $ {E_{\mathrm {T}}^{\text {miss}}} $ distribution in the mono-V signal region compared with the post-fit background expectations for various SM processes. The last bin includes all events with $ {E_{\mathrm {T}}^{\text {miss}}} > $ 750 GeV. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, but not including the signal region. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 2 TeV axial-vector mediator decaying to 1 GeV DM particles, are overlaid. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band indicates the post-fit uncertainty in the background prediction. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 10:
Observed $ {E_{\mathrm {T}}^{\text {miss}}} $ distribution in the monojet (left) and mono-V (right) 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}}} > $ 1250 (750) GeV for the monojet (mono-V) category. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, as well as the signal region. The fit is performed assuming the absence of any signal. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 2 TeV axial-vector mediator decaying to 1 GeV DM particles, are overlaid. Ratios of data with the pre-fit background prediction (red points) and post-fit 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 in the background prediction. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 10-a:
Observed $ {E_{\mathrm {T}}^{\text {miss}}} $ distribution in the monojet mono-V signal region compared with the post-fit background expectations for various SM processes. The last bin includes all events with $ {E_{\mathrm {T}}^{\text {miss}}} > $ 1250 750 GeV. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, as well as the signal region. The fit is performed assuming the absence of any signal. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 2 TeV axial-vector mediator decaying to 1 GeV DM particles, are overlaid. Ratios of data with the pre-fit background prediction (red points) and post-fit background prediction (blue points) are shown. The gray band indicates the post-fit uncertainty in the background prediction. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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Figure 10-b:
Observed $ {E_{\mathrm {T}}^{\text {miss}}} $ distribution in the monojet (left) and mono-V (right) 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}}} > $ 1250 (750) GeV for the monojet (mono-V) category. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, as well as the signal region. The fit is performed assuming the absence of any signal. Expected signal distributions from the 125 GeV Higgs boson decaying exclusively to invisible particles, and a 2 TeV axial-vector mediator decaying to 1 GeV DM particles, are overlaid. Ratios of data with the pre-fit background prediction (red points) and post-fit 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 in the background prediction. Finally, the distribution of the pulls, defined as the difference between data and the post-fit background prediction relative to the quadrature sum of the post-fit uncertainty in the prediction, and statistical uncertainty in the data are also shown in the lower panel.

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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 vector (left) and axial-vector (right) 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 to theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively. Constraints from the Planck satellite experiment [86] are shown with the dark blue contours. DM is overabundant in the shaded area.

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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 vector 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 to theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively. Constraints from the Planck satellite experiment [86] are shown with the dark blue contours. DM is overabundant in the shaded area.

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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 axial-vector 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 to theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively. Constraints from the Planck satellite experiment [86] are shown with the dark blue contours. DM is overabundant in the shaded area.

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Figure 12:
Expected (dotted black line) and observed (solid black line) 95% CL upper limits on the signal strength $\mu =\sigma /\sigma _{\textrm {th}}$ as a function of the mediator mass for the scalar mediators (left). The horizontal red line denotes $\mu = $ 1. Exclusion limits at 95% CL on the $\mu =\sigma /\sigma _{\textrm {th}}$ in the $m_{\textrm {med}}$-$m_{\textrm {DM}}$ plane assuming pseudoscalar mediators (right). The red line shows the contour for the observed exclusion. The solid red contours around the observed limit represent one standard deviation due to theoretical uncertainties in the signal cross section. Constraints from the Planck satellite experiment [86] are shown with the dark blue contours. In the shaded area DM is overabundant.

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Figure 12-a:
Expected (dotted black line) and observed (solid black line) 95% CL upper limits on the signal strength $\mu =\sigma /\sigma _{\textrm {th}}$ as a function of the mediator mass for the scalar mediators. The horizontal red line denotes $\mu = $ 1.

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Figure 12-b:
Exclusion limits at 95% CL on the $\mu =\sigma /\sigma _{\textrm {th}}$ in the $m_{\textrm {med}}$-$m_{\textrm {DM}}$ plane assuming pseudoscalar mediators. The red line shows the contour for the observed exclusion. The solid red contours around the observed limit represent one standard deviation due to theoretical uncertainties in the signal cross section. Constraints from the Planck satellite experiment [86] are shown with the dark blue contours. In the shaded area DM is overabundant.

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Figure 13:
Exclusion limits at 90% CL in the $m_{\textrm {DM}}$ vs. $\sigma _{\textrm {SI/SD}}$ plane for vector (left) and axial-vector (right) mediator models. The solid red (dotted black) line shows the contour for the observed (expected) exclusion in this search. Limits from CDMSLite [89], LUX [90], PandaX-II [91], and CRESST-II [92] experiments are shown for the vector mediator. Limits from Picasso [93], PICO-60 [94], IceCube [95], and Super-Kamiokande [96] experiments are shown for the axial-vector mediator.

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Figure 13-a:
Exclusion limits at 90% CL in the $m_{\textrm {DM}}$ vs. $\sigma _{\textrm {SI/SD}}$ plane for vector mediator models. The solid red (dotted black) line shows the contour for the observed (expected) exclusion in this search. Limits from CDMSLite [89], LUX [90], PandaX-II [91], and CRESST-II [92] experiments are shown for the vector mediator. Limits from Picasso [93], PICO-60 [94], IceCube [95], and Super-Kamiokande [96] experiments are shown for the axial-vector mediator.

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Figure 13-b:
Exclusion limits at 90% CL in the $m_{\textrm {DM}}$ vs. $\sigma _{\textrm {SI/SD}}$ plane for axial-vector mediator models. The solid red (dotted black) line shows the contour for the observed (expected) exclusion in this search. Limits from CDMSLite [89], LUX [90], PandaX-II [91], and CRESST-II [92] experiments are shown for the vector mediator. Limits from Picasso [93], PICO-60 [94], IceCube [95], and Super-Kamiokande [96] experiments are shown for the axial-vector mediator.

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Figure 14:
For the pseudoscalar mediator, limits are compared to the the velocity averaged DM annihilation cross section upper limits from Fermi-LAT [88]. There are no comparable limits from direct detection experiments as the scattering cross section between DM particles and SM quarks is suppressed at nonrelativistic velocities for a pseudoscalar mediator [97,98].

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Figure 15:
Expected (dotted black line) and observed (solid black line) 95% CL 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.

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Figure 16:
95% CL expected (dotted) and observed (solid) lower limits (left) on $M_{\mathrm {D}}$ as a function of the number of extra spatial dimensions $n$ in the ADD model. The 95% CL expected (dotted) and observed (solid) upper limits on the signal strength $\mu =\sigma /\sigma _{\rm {th}}$ for ADD graviton production (right), as a function of $M_{\mathrm {D}}$ for $n=$ 2.

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Figure 16-a:
95% CL expected (dotted) and observed (solid) lower limits on $M_{\mathrm {D}}$ as a function of the number of extra spatial dimensions $n$ in the ADD model.

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Figure 16-b:
The 95% CL expected (dotted) and observed (solid) upper limits on the signal strength $\mu =\sigma /\sigma _{\rm {th}}$ for ADD graviton production, as a function of $M_{\mathrm {D}}$ for $n=$ 2.

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Figure 17:
95% CL expected (black dashed line) and observed (red solid line) upper limits on $\mu =\sigma /\sigma _{\rm {th}}$ for Dirac DM particle with the coupling strength parameter to the up quark corresponding to $\lambda _u = $ 1 in the $m_{\phi _{\rm {u}}}-m_\chi $ plane. Constraints from the Planck satellite experiment are shown with the dark blue contours. DM is overabundant in the shaded area.

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Figure 18:
95% CL expected (black dashed line) and observed (red solid line) upper limits on $\mu =\sigma /\sigma _{\rm {th}}$ for a nonthermal DM particle for mediator masses $M_{X1}$, of 1 and 2 TeV, in the $\lambda _1-\lambda _2$ plane.

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Figure 18-a:
95% CL expected (black dashed line) and observed (red solid line) upper limits on $\mu =\sigma /\sigma _{\rm {th}}$ for a nonthermal DM particle for mediator mass $M_{X1}$ of 1 TeV, in the $\lambda _1-\lambda _2$ plane.

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Figure 18-b:
95% CL expected (black dashed line) and observed (red solid line) upper limits on $\mu =\sigma /\sigma _{\rm {th}}$ for a nonthermal DM particle for mediator mass $M_{X1}$ of 2 TeV, in the $\lambda _1-\lambda _2$ plane.
Tables

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Table 1:
Expected event yields in each $ {E_{\mathrm {T}}^{\text {miss}}} $ bin for various background processes in the monojet signal region. The background yields and the corresponding uncertainties are obtained after performing a combined fit to data in all the control samples, but excluding data in the signal region. The observed event yields in the monojet signal region are also reported.

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Table 2:
Expected event yields in each $ {E_{\mathrm {T}}^{\text {miss}}} $ bin for various background processes in the monojet signal region. The background yields and the corresponding uncertainties are obtained after performing a combined fit to data in all the control samples, but excluding data in the signal region. The observed event yields in the monojet signal region are also reported.

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Table 3:
Breakdown of the sensitivity by category in the 13 TeV mono-jet/mono-V search in terms of the 95% CL upper limit on the invisible branching fraction of a 125 GeV SM-like Higgs boson.
Summary
A search for dark matter particles, invisible decays of standard model-like 125 GeV Higgs boson, and extra dimensions is presented using events with jets and large missing transvers momentum in a $\sqrt{s} = $ 13 TeV proton-proton collision data set corresponding to an integrated luminosity of 35.9 fb$^{-1}$. No significant excess of events is observed with respect to the SM backgrounds.

Limits are computed on the dark matter production cross section using simplified models in which dark matter production is mediated by spin-1 and spin-0 particles. Vector and axial-vector mediators with masses up to 1.8 TeV are excluded at 95% confidence level. Pseudoscalar mediators with masses up to 400 GeV are excluded at 95% confidence level. The limits are also presented for fermion portal dark matter model in the plane of $m_{\phi_{u}}-m_\chi$ for the coupling of $\lambda_u = 1$. The exclusion up to 1.4 TeV on $m_{\phi_{u}}$ is observed. Furthermore, the results for the nonthermal dark matter interpretation is presented in the coupling strength plane.

The search also yields an observed (expected) 95% confidence level upper limit of 0.53 (0.40) on the invisible branching fraction of a standard model-like 125 GeV Higgs boson, assuming the standard model production cross section.

Lastly, the lower limits are also computed on the fundamental scale $M_{\mathrm{D}}$ in the context of the large extra dimensional model where the exclusion is found to be varying between 10 TeV for the number of extra dimensions $n = $ 2 to 5.5 TeV for $n = $ 6.
Additional Figures

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Additional Figure 1:
Comparison between data and Monte Carlo simulation of the Z($\mu \mu $)/$ \gamma $+jets, Z($\mu \mu $)/W($\mu \nu $) and W($\mu \nu $)/$ \gamma $+jets ratios, as a function of boson $ {p_{\mathrm {T}}} $, in the monojet category. The gray bands include both the (pre-fit) systematic uncertainties and the statistical uncertainty in the simulation.

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Additional Figure 1-a:
Comparison between data and Monte Carlo simulation of the Z($\mu \mu $)/$ \gamma $+jets ratio, as a function of boson $ {p_{\mathrm {T}}} $, in the monojet category. The gray band includes both the (pre-fit) systematic uncertainties and the statistical uncertainty in the simulation.

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Additional Figure 1-b:
Comparison between data and Monte Carlo simulation of the Z($\mu \mu $)/W($\mu \nu $) ratio, as a function of boson $ {p_{\mathrm {T}}} $, in the monojet category. The gray band includes both the (pre-fit) systematic uncertainties and the statistical uncertainty in the simulation.

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Additional Figure 1-c:
Comparison between data and Monte Carlo simulation of the W($\mu \nu $)/$ \gamma $+jets ratio, as a function of boson $ {p_{\mathrm {T}}} $, in the monojet category. The gray band includes both the (pre-fit) systematic uncertainties and the statistical uncertainty in the simulation.

png pdf root
Additional Figure 2:
Correlations between the predicted background yields in all the $ {E_{\mathrm {T}}^{\text {miss}}} $ bins of the monojet signal region. The boundaries of the $ {E_{\mathrm {T}}^{\text {miss}}} $ bins, expressed in GeV, are shown at the bottom and on the left.

png pdf root
Additional Figure 3:
Correlations between the predicted background yields in all the $ {E_{\mathrm {T}}^{\text {miss}}} $ bins of the mono-V signal region. The boundaries of the $ {E_{\mathrm {T}}^{\text {miss}}} $ bins, expressed in GeV, are shown at the bottom and on the left.

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Additional Figure 4:
Exclusion limits at 95% CL on the $ \mu =\sigma /\sigma _{\textrm {th}} $ in the $ m_{\textrm {med}} $-$ m_{\textrm {DM}} $ plane assuming scalar mediators (left) allowing for vector boson couplings simulated at LO in QCD. The solid (dotted) red (black) 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 to theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively. 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 (right).

png
Additional Figure 4-a:
Exclusion limits at 95% CL on the $ \mu =\sigma /\sigma _{\textrm {th}} $ in the $ m_{\textrm {med}} $-$ m_{\textrm {DM}} $ plane assuming scalar mediators allowing for vector boson couplings simulated at LO in QCD. The solid (dotted) red (black) 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 to theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively.

png pdf
Additional Figure 4-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.

png pdf
Additional Figure 5:
Exclusion limits at 95% CL on the $ \mu =\sigma /\sigma _{\textrm {th}} $ in the $ m_{\textrm {med}} $-$ m_{\textrm {DM}} $ plane assuming vector (left) and axial-vector (right) mediators where the the mono-V signal is simulated at LO in QCD. The solid (dotted) red (black) 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 to theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively.

png
Additional Figure 5-a:
Exclusion limits at 95% CL on the $ \mu =\sigma /\sigma _{\textrm {th}} $ in the $ m_{\textrm {med}} $-$ m_{\textrm {DM}} $ plane assuming vector mediators where the the mono-V signal is simulated at LO in QCD. The solid (dotted) red (black) 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 to theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively.

png
Additional Figure 5-b:
Exclusion limits at 95% CL on the $ \mu =\sigma /\sigma _{\textrm {th}} $ in the $ m_{\textrm {med}} $-$ m_{\textrm {DM}} $ plane assuming axial-vector mediators where the the mono-V signal is simulated at LO in QCD. The solid (dotted) red (black) 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 to theoretical uncertainties in the signal cross section and the combination of the statistical and experimental systematic uncertainties, respectively.
Additional Tables

png pdf
Additional Table 1:
Comparison of Monte Carlo generators and perturbative order used for simulating various signal processes.
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Compact Muon Solenoid
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