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CMS-EXO-12-055 ; CERN-EP-2016-178
Search for dark matter in proton-proton collisions at 8 TeV with missing transverse momentum and vector boson tagged jets
JHEP 12 (2016) 083 [Erratum]
Abstract: A search is presented for an excess of events with large missing transverse momentum in association with at least one highly energetic jet, in a data sample of proton-proton collisions at a centre-of-mass energy of 8 TeV. The data correspond to an integrated luminosity of 19.7 fb$^{-1}$ collected by the CMS experiment at the LHC. The results are interpreted using a set of simplified models for the production of dark matter via a scalar, pseudoscalar, vector, or axial vector mediator. Additional sensitivity is achieved by tagging events consistent with the jets originating from a hadronically decaying vector boson. This search uses jet substructure techniques to identify hadronically decaying vector bosons in both Lorentz-boosted and resolved scenarios. This analysis yields improvements of 80% in terms of excluded signal cross sections with respect to the previous CMS analysis using the same data set. No significant excess with respect to the standard model expectation is observed and limits are placed on the parameter space of the simplified models. Mediator masses between 80 and 400 GeV in the scalar and pseudoscalar models, and up to 1.5 TeV in the vector and axial vector models, are excluded.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Diagrams for production of DM via a scalar (S) or pseudoscalar (P) mediator in the cases providing monojet (left) and mono-V (right) signatures.

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Figure 1-a:
Diagrams for production of DM via a scalar (S) or pseudoscalar (P) mediator in the cases providing monojet (left) and mono-V (right) signatures.

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Figure 1-b:
Diagrams for production of DM via a scalar (S) or pseudoscalar (P) mediator in the cases providing monojet (left) and mono-V (right) signatures.

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Figure 2:
Diagrams for production of DM via a vector (Z') or axial vector (A) mediator providing monojet (left) and mono-V (right) signatures.

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Figure 2-a:
Diagrams for production of DM via a vector (Z') or axial vector (A) mediator providing monojet (left) and mono-V (right) signatures.

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Figure 2-b:
Diagrams for production of DM via a vector (Z') or axial vector (A) mediator providing monojet (left) and mono-V (right) signatures.

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Figure 3:
Left: The distribution of $\tau _2/\tau _1$ in highly Lorentz-boosted events, before the jet mass selection. Right: The distribution of $m_{\text {pruned}}$ for the CA8 jets, before applying the jet mass selection but after the requirement of $\tau _2/\tau _1 < $ 0.5 has been applied. The discrepancy between data and simulation is within systematic uncertainties (not shown). The dashed red line shows the expected distribution for scalar-mediated DM production with $m_{\mathrm {MED}} = $ 125 GeV and $m_{\mathrm {DM}} = $ 10 GeV. The shaded bands indicate the statistical uncertainty from the limited number of simulated events.

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Figure 3-a:
Left: The distribution of $\tau _2/\tau _1$ in highly Lorentz-boosted events, before the jet mass selection. Right: The distribution of $m_{\text {pruned}}$ for the CA8 jets, before applying the jet mass selection but after the requirement of $\tau _2/\tau _1 < $ 0.5 has been applied. The discrepancy between data and simulation is within systematic uncertainties (not shown). The dashed red line shows the expected distribution for scalar-mediated DM production with $m_{\mathrm {MED}} = $ 125 GeV and $m_{\mathrm {DM}} = $ 10 GeV. The shaded bands indicate the statistical uncertainty from the limited number of simulated events.

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Figure 3-b:
Left: The distribution of $\tau _2/\tau _1$ in highly Lorentz-boosted events, before the jet mass selection. Right: The distribution of $m_{\text {pruned}}$ for the CA8 jets, before applying the jet mass selection but after the requirement of $\tau _2/\tau _1 < $ 0.5 has been applied. The discrepancy between data and simulation is within systematic uncertainties (not shown). The dashed red line shows the expected distribution for scalar-mediated DM production with $m_{\mathrm {MED}} = $ 125 GeV and $m_{\mathrm {DM}} = $ 10 GeV. The shaded bands indicate the statistical uncertainty from the limited number of simulated events.

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Figure 4:
The MVA output distributions for V-tagged events in simulation and data after signal selection for $ {p_{\mathrm {T}}} < $ 160 GeV (left) and $ {p_{\mathrm {T}}} > $ 160 GeV (right). Above a $ {p_{\mathrm {T}}} $ of about 160 GeV, the jets from the V-boson decay begin to overlap. The dashed red line shows the expected distribution for scalar-mediated DM production with $m_{\mathrm {MED}} = $ 125 GeV and $m_{\mathrm {DM}} = $ 10 GeV. The shaded bands indicate the statistical uncertainty arising from the limited number of simulated events.

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Figure 4-a:
The MVA output distributions for V-tagged events in simulation and data after signal selection for $ {p_{\mathrm {T}}} < $ 160 GeV (left) and $ {p_{\mathrm {T}}} > $ 160 GeV (right). Above a $ {p_{\mathrm {T}}} $ of about 160 GeV, the jets from the V-boson decay begin to overlap. The dashed red line shows the expected distribution for scalar-mediated DM production with $m_{\mathrm {MED}} = $ 125 GeV and $m_{\mathrm {DM}} = $ 10 GeV. The shaded bands indicate the statistical uncertainty arising from the limited number of simulated events.

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Figure 4-b:
The MVA output distributions for V-tagged events in simulation and data after signal selection for $ {p_{\mathrm {T}}} < $ 160 GeV (left) and $ {p_{\mathrm {T}}} > $ 160 GeV (right). Above a $ {p_{\mathrm {T}}} $ of about 160 GeV, the jets from the V-boson decay begin to overlap. The dashed red line shows the expected distribution for scalar-mediated DM production with $m_{\mathrm {MED}} = $ 125 GeV and $m_{\mathrm {DM}} = $ 10 GeV. The shaded bands indicate the statistical uncertainty arising from the limited number of simulated events.

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Figure 5:
Distributions in ${E_{\mathrm {T}}^{\text {miss}}}$ (left) and leading jet $ {p_{\mathrm {T}}} $ (right) in simulated events and data, resulting from the combined signal selections for the three event categories. The dashed red line shows the expected distribution, assuming vector mediated DM production with $m_{\mathrm {MED}}= $ 1 TeV and $m_{\mathrm {DM}}=$ 10 GeV. The shaded bands indicate the statistical uncertainty from the limited number of simulated events.

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Figure 5-a:
Distributions in ${E_{\mathrm {T}}^{\text {miss}}}$ (left) and leading jet $ {p_{\mathrm {T}}} $ (right) in simulated events and data, resulting from the combined signal selections for the three event categories. The dashed red line shows the expected distribution, assuming vector mediated DM production with $m_{\mathrm {MED}}= $ 1 TeV and $m_{\mathrm {DM}}=$ 10 GeV. The shaded bands indicate the statistical uncertainty from the limited number of simulated events.

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Figure 5-b:
Distributions in ${E_{\mathrm {T}}^{\text {miss}}}$ (left) and leading jet $ {p_{\mathrm {T}}} $ (right) in simulated events and data, resulting from the combined signal selections for the three event categories. The dashed red line shows the expected distribution, assuming vector mediated DM production with $m_{\mathrm {MED}}= $ 1 TeV and $m_{\mathrm {DM}}=$ 10 GeV. The shaded bands indicate the statistical uncertainty from the limited number of simulated events.

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Figure 6:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the V-boosted category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 6-a:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the V-boosted category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 6-b:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the V-boosted category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 6-c:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the V-boosted category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 7:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the V-resolved category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 7-a:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the V-resolved category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 7-b:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the V-resolved category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 7-c:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the V-resolved category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 8:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the monojet category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 8-a:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the monojet category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 8-b:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the monojet category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 8-c:
Predicted and observed pseudo-$ {E_{\mathrm {T}}^{\text {miss}}}$ distributions in the dimuon (top-left), photon (top-right), and single muon (bottom) control regions, before and after performing the simultaneous likelihood fit to the data in the control regions, for the monojet category. The predictions for the distributions before fitting to the control region data (pre-fit), and after (post-fit) are shown as the dashed red and solid blue lines, respectively. The red circles in the lower panels show the ratio of the observed data to the pre-fit predictions, while the blue triangles show the ratio to the post-fit predictions. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The filled bands around the post-fit prediction indicate the combined statistical and systematic uncertainties from the fit.

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Figure 9:
Post-fit distributions in $ {E_{\mathrm {T}}^{\text {miss}}} $ expected from SM backgrounds and observed in the signal region. The expected distributions are evaluated after fitting to the observed data simultaneously across the V-boosted (top-left), V-resolved (top-right), and monojet (bottom) categories. The ratio of the data to the post-fit background prediction is shown in the lower panels. The shaded bands indicate the post-fit uncertainty in the background, assuming no signal. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The expected distribution for a signal assuming vector mediated DM production is shown for $m_{\mathrm {MED}}= $ 1 TeV and $m_{\mathrm {DM}}=$ 10 GeV.

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Figure 9-a:
Post-fit distributions in $ {E_{\mathrm {T}}^{\text {miss}}} $ expected from SM backgrounds and observed in the signal region. The expected distributions are evaluated after fitting to the observed data simultaneously across the V-boosted (top-left), V-resolved (top-right), and monojet (bottom) categories. The ratio of the data to the post-fit background prediction is shown in the lower panels. The shaded bands indicate the post-fit uncertainty in the background, assuming no signal. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The expected distribution for a signal assuming vector mediated DM production is shown for $m_{\mathrm {MED}}= $ 1 TeV and $m_{\mathrm {DM}}=$ 10 GeV.

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Figure 9-b:
Post-fit distributions in $ {E_{\mathrm {T}}^{\text {miss}}} $ expected from SM backgrounds and observed in the signal region. The expected distributions are evaluated after fitting to the observed data simultaneously across the V-boosted (top-left), V-resolved (top-right), and monojet (bottom) categories. The ratio of the data to the post-fit background prediction is shown in the lower panels. The shaded bands indicate the post-fit uncertainty in the background, assuming no signal. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The expected distribution for a signal assuming vector mediated DM production is shown for $m_{\mathrm {MED}}= $ 1 TeV and $m_{\mathrm {DM}}=$ 10 GeV.

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Figure 9-c:
Post-fit distributions in $ {E_{\mathrm {T}}^{\text {miss}}} $ expected from SM backgrounds and observed in the signal region. The expected distributions are evaluated after fitting to the observed data simultaneously across the V-boosted (top-left), V-resolved (top-right), and monojet (bottom) categories. The ratio of the data to the post-fit background prediction is shown in the lower panels. The shaded bands indicate the post-fit uncertainty in the background, assuming no signal. The horizontal bars on the data points indicate the width of the bin that is centred at that point. The expected distribution for a signal assuming vector mediated DM production is shown for $m_{\mathrm {MED}}= $ 1 TeV and $m_{\mathrm {DM}}=$ 10 GeV.

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Figure 10:
The 90% CL exclusion contours in the $m_{\mathrm {MED}}-m_{\mathrm {DM}}$ plane assuming vector (top-left), axial vector (top-right), scalar (bottom-left), and pseudoscalar (bottom-right) mediators. The scale shown on the right hand axis shows the expected 90% CL exclusion upper limit on the signal strength, assuming the mediator only couples to fermions. For the scalar and pseudoscalar mediators, the exclusion contour assuming coupling only to fermions (fermionic) is also shown. The white region shows model points that are not tested when assuming coupling only to fermions and are not expected to be excluded by this analysis under this assumption. The red dot-dashed lines indicate the variation in the exclusion contours due to modifying the renormalization and factorization scales by a factor of two in the generation of the signal. In all cases, the excluded region is to the bottom-left of the contours, except for the relic density, which shows the regions for which $\Omega _c h^2\ge 0.12$, as indicated by the shading. In all of the models, the mediator width is determined using the minimum width assumption.

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Figure 10-a:
The 90% CL exclusion contours in the $m_{\mathrm {MED}}-m_{\mathrm {DM}}$ plane assuming vector (top-left), axial vector (top-right), scalar (bottom-left), and pseudoscalar (bottom-right) mediators. The scale shown on the right hand axis shows the expected 90% CL exclusion upper limit on the signal strength, assuming the mediator only couples to fermions. For the scalar and pseudoscalar mediators, the exclusion contour assuming coupling only to fermions (fermionic) is also shown. The white region shows model points that are not tested when assuming coupling only to fermions and are not expected to be excluded by this analysis under this assumption. The red dot-dashed lines indicate the variation in the exclusion contours due to modifying the renormalization and factorization scales by a factor of two in the generation of the signal. In all cases, the excluded region is to the bottom-left of the contours, except for the relic density, which shows the regions for which $\Omega _c h^2\ge 0.12$, as indicated by the shading. In all of the models, the mediator width is determined using the minimum width assumption.

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Figure 10-b:
The 90% CL exclusion contours in the $m_{\mathrm {MED}}-m_{\mathrm {DM}}$ plane assuming vector (top-left), axial vector (top-right), scalar (bottom-left), and pseudoscalar (bottom-right) mediators. The scale shown on the right hand axis shows the expected 90% CL exclusion upper limit on the signal strength, assuming the mediator only couples to fermions. For the scalar and pseudoscalar mediators, the exclusion contour assuming coupling only to fermions (fermionic) is also shown. The white region shows model points that are not tested when assuming coupling only to fermions and are not expected to be excluded by this analysis under this assumption. The red dot-dashed lines indicate the variation in the exclusion contours due to modifying the renormalization and factorization scales by a factor of two in the generation of the signal. In all cases, the excluded region is to the bottom-left of the contours, except for the relic density, which shows the regions for which $\Omega _c h^2\ge 0.12$, as indicated by the shading. In all of the models, the mediator width is determined using the minimum width assumption.

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Figure 10-c:
The 90% CL exclusion contours in the $m_{\mathrm {MED}}-m_{\mathrm {DM}}$ plane assuming vector (top-left), axial vector (top-right), scalar (bottom-left), and pseudoscalar (bottom-right) mediators. The scale shown on the right hand axis shows the expected 90% CL exclusion upper limit on the signal strength, assuming the mediator only couples to fermions. For the scalar and pseudoscalar mediators, the exclusion contour assuming coupling only to fermions (fermionic) is also shown. The white region shows model points that are not tested when assuming coupling only to fermions and are not expected to be excluded by this analysis under this assumption. The red dot-dashed lines indicate the variation in the exclusion contours due to modifying the renormalization and factorization scales by a factor of two in the generation of the signal. In all cases, the excluded region is to the bottom-left of the contours, except for the relic density, which shows the regions for which $\Omega _c h^2\ge 0.12$, as indicated by the shading. In all of the models, the mediator width is determined using the minimum width assumption.

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Figure 10-d:
The 90% CL exclusion contours in the $m_{\mathrm {MED}}-m_{\mathrm {DM}}$ plane assuming vector (top-left), axial vector (top-right), scalar (bottom-left), and pseudoscalar (bottom-right) mediators. The scale shown on the right hand axis shows the expected 90% CL exclusion upper limit on the signal strength, assuming the mediator only couples to fermions. For the scalar and pseudoscalar mediators, the exclusion contour assuming coupling only to fermions (fermionic) is also shown. The white region shows model points that are not tested when assuming coupling only to fermions and are not expected to be excluded by this analysis under this assumption. The red dot-dashed lines indicate the variation in the exclusion contours due to modifying the renormalization and factorization scales by a factor of two in the generation of the signal. In all cases, the excluded region is to the bottom-left of the contours, except for the relic density, which shows the regions for which $\Omega _c h^2\ge 0.12$, as indicated by the shading. In all of the models, the mediator width is determined using the minimum width assumption.

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Figure 11:
The 90% CL exclusion contours in the $m_{\mathrm {DM}}-\sigma _{\mathrm {SI}}$ or $m_{\mathrm {DM}}-\sigma _{\mathrm {SD}}$ plane assuming vector (top-left), axial vector (top-right), scalar (bottom-left) mediators. Also shown is the 90% CL exclusion in DM annihilation cross section as a function of $m_{\mathrm {DM}}$ for a pseudoscalar mediator (bottom-right). For the scalar and pseudoscalar mediators, the exclusion contours assuming the mediator only couples to fermions (fermionic) is also shown. The excluded region in all plots is to the top-left of the contours for the results from this analysis while the DD experiments and Fermi LAT excluded regions are above the lines shown. In the vector and axial vector models, limits are shown independently for monojet, V-boosted, and V-resolved categories. The red dot-dashed line shows the partial combination of the V-tagged categories for which the V-boosted category provides the dominant contribution. In all of the mediator models, a minimum mediator width is assumed. For the pseudoscalar mediator, 68% CL preferred regions, obtained using data from Fermi LAT, for DM annihilation to light-quarks ($\mathrm{ q } \mathrm{ \bar{q} } $), $\tau ^{+}\tau ^{-}$, and $ {\mathrm{ b \bar{b} } } $ are given by the solid green, hatched pink, and shaded brown coloured regions, respectively.

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Figure 11-a:
The 90% CL exclusion contours in the $m_{\mathrm {DM}}-\sigma _{\mathrm {SI}}$ or $m_{\mathrm {DM}}-\sigma _{\mathrm {SD}}$ plane assuming vector (top-left), axial vector (top-right), scalar (bottom-left) mediators. Also shown is the 90% CL exclusion in DM annihilation cross section as a function of $m_{\mathrm {DM}}$ for a pseudoscalar mediator (bottom-right). For the scalar and pseudoscalar mediators, the exclusion contours assuming the mediator only couples to fermions (fermionic) is also shown. The excluded region in all plots is to the top-left of the contours for the results from this analysis while the DD experiments and Fermi LAT excluded regions are above the lines shown. In the vector and axial vector models, limits are shown independently for monojet, V-boosted, and V-resolved categories. The red dot-dashed line shows the partial combination of the V-tagged categories for which the V-boosted category provides the dominant contribution. In all of the mediator models, a minimum mediator width is assumed. For the pseudoscalar mediator, 68% CL preferred regions, obtained using data from Fermi LAT, for DM annihilation to light-quarks ($\mathrm{ q } \mathrm{ \bar{q} } $), $\tau ^{+}\tau ^{-}$, and $ {\mathrm{ b \bar{b} } } $ are given by the solid green, hatched pink, and shaded brown coloured regions, respectively.

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Figure 11-b:
The 90% CL exclusion contours in the $m_{\mathrm {DM}}-\sigma _{\mathrm {SI}}$ or $m_{\mathrm {DM}}-\sigma _{\mathrm {SD}}$ plane assuming vector (top-left), axial vector (top-right), scalar (bottom-left) mediators. Also shown is the 90% CL exclusion in DM annihilation cross section as a function of $m_{\mathrm {DM}}$ for a pseudoscalar mediator (bottom-right). For the scalar and pseudoscalar mediators, the exclusion contours assuming the mediator only couples to fermions (fermionic) is also shown. The excluded region in all plots is to the top-left of the contours for the results from this analysis while the DD experiments and Fermi LAT excluded regions are above the lines shown. In the vector and axial vector models, limits are shown independently for monojet, V-boosted, and V-resolved categories. The red dot-dashed line shows the partial combination of the V-tagged categories for which the V-boosted category provides the dominant contribution. In all of the mediator models, a minimum mediator width is assumed. For the pseudoscalar mediator, 68% CL preferred regions, obtained using data from Fermi LAT, for DM annihilation to light-quarks ($\mathrm{ q } \mathrm{ \bar{q} } $), $\tau ^{+}\tau ^{-}$, and $ {\mathrm{ b \bar{b} } } $ are given by the solid green, hatched pink, and shaded brown coloured regions, respectively.

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Figure 11-c:
The 90% CL exclusion contours in the $m_{\mathrm {DM}}-\sigma _{\mathrm {SI}}$ or $m_{\mathrm {DM}}-\sigma _{\mathrm {SD}}$ plane assuming vector (top-left), axial vector (top-right), scalar (bottom-left) mediators. Also shown is the 90% CL exclusion in DM annihilation cross section as a function of $m_{\mathrm {DM}}$ for a pseudoscalar mediator (bottom-right). For the scalar and pseudoscalar mediators, the exclusion contours assuming the mediator only couples to fermions (fermionic) is also shown. The excluded region in all plots is to the top-left of the contours for the results from this analysis while the DD experiments and Fermi LAT excluded regions are above the lines shown. In the vector and axial vector models, limits are shown independently for monojet, V-boosted, and V-resolved categories. The red dot-dashed line shows the partial combination of the V-tagged categories for which the V-boosted category provides the dominant contribution. In all of the mediator models, a minimum mediator width is assumed. For the pseudoscalar mediator, 68% CL preferred regions, obtained using data from Fermi LAT, for DM annihilation to light-quarks ($\mathrm{ q } \mathrm{ \bar{q} } $), $\tau ^{+}\tau ^{-}$, and $ {\mathrm{ b \bar{b} } } $ are given by the solid green, hatched pink, and shaded brown coloured regions, respectively.

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Figure 11-d:
The 90% CL exclusion contours in the $m_{\mathrm {DM}}-\sigma _{\mathrm {SI}}$ or $m_{\mathrm {DM}}-\sigma _{\mathrm {SD}}$ plane assuming vector (top-left), axial vector (top-right), scalar (bottom-left) mediators. Also shown is the 90% CL exclusion in DM annihilation cross section as a function of $m_{\mathrm {DM}}$ for a pseudoscalar mediator (bottom-right). For the scalar and pseudoscalar mediators, the exclusion contours assuming the mediator only couples to fermions (fermionic) is also shown. The excluded region in all plots is to the top-left of the contours for the results from this analysis while the DD experiments and Fermi LAT excluded regions are above the lines shown. In the vector and axial vector models, limits are shown independently for monojet, V-boosted, and V-resolved categories. The red dot-dashed line shows the partial combination of the V-tagged categories for which the V-boosted category provides the dominant contribution. In all of the mediator models, a minimum mediator width is assumed. For the pseudoscalar mediator, 68% CL preferred regions, obtained using data from Fermi LAT, for DM annihilation to light-quarks ($\mathrm{ q } \mathrm{ \bar{q} } $), $\tau ^{+}\tau ^{-}$, and $ {\mathrm{ b \bar{b} } } $ are given by the solid green, hatched pink, and shaded brown coloured regions, respectively.

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Figure 12:
Correlations between the predicted number of background events in each bin of $ {E_{\mathrm {T}}^{\text {miss}}} $ in the V-boosted category. The correlation is determined from the simultaneous fit to data in the dimuon, single muon, and photon control regions in all the three event categories.

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Figure 13:
Correlations between the predicted number of background events in each bin of $ {E_{\mathrm {T}}^{\text {miss}}} $ in the V-resolved category. The correlation is determined from the simultaneous fit to data in the dimuon, single muon, and photon control regions in all the three event categories.

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Figure 14:
Correlations between the predicted number of background events in each bin of $ {E_{\mathrm {T}}^{\text {miss}}} $ in the monojet category. The correlation is determined from the simultaneous fit to data in the dimuon, single muon, and photon control regions in all the three event categories.
Tables

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Table 1:
Event selections for the V-boosted, V-resolved, and monojet categories The requirements on $ {p_{\mathrm {T}}} ^{\mathrm {j}}$ and $ {| \eta | }^{\mathrm {j}}$ refer to the highest $ {p_{\mathrm {T}}} $ CA8 or AK5 jet in the V-boosted or monojet categories, and to both leading AK5 jets in the V-resolved category. The requirement on the number of jets ($N_\mathrm {j}$) is applied in the V-boosted and monojet categories. An additional jet is allowed only if it falls within $ {| \Delta \phi | } < $ 2 radians of the leading AK5 or CA8 jet for the monojet or V-boosted category. The additional AK5 jets in the V-boosted category must be further than $\Delta R > $ 0.5 for the event to fail this criteria.

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Table 2:
Expected yields of the SM processes and their uncertainties per bin for the V-boosted category after the fit to the control regions.

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Table 3:
Expected yields of the SM processes and their uncertainties per bin for the V-resolved category after the fit to the control regions.

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Table 4:
Expected yields of the SM processes and their uncertainties per bin for the monojet category after the fit to the control regions.

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Table 5:
Expected signal event yields in each of the three event categories for monojet and mono-V production assuming a vector, axial vector, pseudoscalar, or scalar mediator. The yields are determined assuming $m_{\mathrm {DM}}= $ 1 GeV and $g_{\mathrm {DM}}=g_{\mathrm {SM}}=g_{\mathrm{ q } }= $ 1.
Summary
A search has been presented for an excess of events with at least one energetic jet in association with large $ E_{\mathrm{T}}^{\text{miss}} $ in a data sample of proton-proton collisions at a centre-of-mass energy of 8 TeV. The data correspond to an integrated luminosity of 19.7 fb$^{-1}$ collected with the CMS detector at the LHC. Sensitivity to a potential mono-V signature is achieved by the addition of two event categories that select hadronically decaying V-bosons using novel jet substructure techniques. This search is the first at CMS to use jet substructure techniques to identify hadronically decaying vector bosons in both Lorentz-boosted and resolved scenarios. The sensitivity of the search has been increased compared to the previous CMS result by using the full shape of the $ E_{\mathrm{T}}^{\text{miss}} $ distribution to discriminate signal from standard model backgrounds and by using additional data control regions. No significant deviation is observed in the $ E_{\mathrm{T}}^{\text{miss}} $ distributions relative to the expectation from standard model backgrounds. The results of the search are interpreted under a set of simplified models that describe the production of dark matter (DM) particle pairs via vector, axial vector, scalar, or pseudoscalar mediation. Constraints are placed on the parameter space of these models. The search is the first at CMS to be interpreted using the simplified models for DM production. The search excludes DM production via vector or axial vector mediation with mediator masses up to 1.5 TeV, within the simplified model assumptions. When compared to direct detection experiments, the limits from this analysis provide the strongest constraints at small DM masses in the vector model and for DM masses up to 300 GeV in the axial vector model. For scalar and pseudoscalar mediated DM production, this analysis excludes mediator masses up to 80 and 400 GeV, respectively. The results of this analysis provide the strongest constraints on DM pair annihilation cross section via a pseudoscalar interaction for DM masses up to 150 GeV compared to the latest indirect detection results from Fermi LAT.
Additional Figures

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Additional Figure 1:
Correlations between the predicted number of background events in each bin of ${E_{\mathrm {T}}^{\text {miss}}}$ in the V-boosted category. The correlation is determined from the simultaneous fit to data in the dimuon, single muon, and photon control regions in all the three event categories.

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Additional Figure 2:
Correlations between the predicted number of background events in each bin of ${E_{\mathrm {T}}^{\text {miss}}}$ in the V-resolved category. The correlation is determined from the simultaneous fit to data in the dimuon, single muon, and photon control regions in all the three event categories.

png pdf
Additional Figure 3:
Correlations between the predicted number of background events in each bin of ${E_{\mathrm {T}}^{\text {miss}}}$ in the monojet category. The correlation is determined from the simultaneous fit to data in the dimuon, single muon, and photon control regions in all the three event categories.
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Compact Muon Solenoid
LHC, CERN