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CMS-PAS-EXO-16-005
Search for dark matter in association with a top quark pair at $\sqrt{s} = $ 13 TeV
Abstract: A search is presented for an excess of events with large missing transverse momentum produced in association with top quarks in a data sample of proton-proton interactions at centre-of-mass energy of 13 TeV. The data correspond to an integrated luminosity of 2.2 fb$^{-1}$ collected by the CMS detector at the LHC in 2015. Results are interpreted in the context of dark matter production, and constraints are placed on the parameter space of simplified models.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
The dominant contribution to the $\mathrm{ t \bar{t} }+\textrm {DM}$ process with a spin-0 mediator in the simplified model scheme.

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Figure 2-a:
(a) Distribution of the $M^{W}_{T2}$ variable in the semileptonic search after all other selection requirements are applied. (b) Distribution of $\text{min}_{i}\Delta \phi (\textrm {jet}_{i}, {E_{\mathrm {T}}^{\text {miss}}} )$ in the inclusive hadronic channel after all other selection requirements are applied. The gray dashed band indicates the statistical uncertainty on the predicted background. A model for DM production with pseudoscalar $m_{\mathrm {MED}}=$ 100 GeV and $m_{\mathrm {DM}}=$ 1 GeV is also shown. Note that the signal expectation is scaled by a factor of 100 in the plots.

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Figure 2-b:
(a) Distribution of the $M^{W}_{T2}$ variable in the semileptonic search after all other selection requirements are applied. (b) Distribution of $\text{min}_{i}\Delta \phi (\textrm {jet}_{i}, {E_{\mathrm {T}}^{\text {miss}}} )$ in the inclusive hadronic channel after all other selection requirements are applied. The gray dashed band indicates the statistical uncertainty on the predicted background. A model for DM production with pseudoscalar $m_{\mathrm {MED}}=$ 100 GeV and $m_{\mathrm {DM}}=$ 1 GeV is also shown. Note that the signal expectation is scaled by a factor of 100 in the plots.

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Figure 3-a:
Distributions of ${E_{\mathrm {T}}^{\text {miss}}}$ in the (a) semileptonic and (b) inclusive hadronic signal regions prior to the combined control/signal region fit. The gray dashed band indicates the statistical uncertainty on the background prediction. A model for DM production with pseudoscalar $m_{\mathrm {MED}}=$ 100 GeV and $m_{\mathrm {MED}}=$ 1 GeV is also shown. Note that the signal expectation is scaled by a factor of 20 in the plots.

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Figure 3-b:
Distributions of ${E_{\mathrm {T}}^{\text {miss}}}$ in the (a) semileptonic and (b) inclusive hadronic signal regions prior to the combined control/signal region fit. The gray dashed band indicates the statistical uncertainty on the background prediction. A model for DM production with pseudoscalar $m_{\mathrm {MED}}=$ 100 GeV and $m_{\mathrm {MED}}=$ 1 GeV is also shown. Note that the signal expectation is scaled by a factor of 20 in the plots.

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Figure 4:
Distribution of the resolved top tagger discriminant in semileptonic $\mathrm{ t \bar{t} }$ events. The simulation is split by whether the correct jets from the hadronically decaying top quark is chosen (events with the correct jets are labelled ``$ {\mathrm {t}\overline {\mathrm {t}}} (1\ell )$ Hadronic Matched'', events from semileptonic ${\mathrm {t}\overline {\mathrm {t}}}$ but the wrong combination of jets are chosen are labelled ``$ {\mathrm {t}\overline {\mathrm {t}}} (1\ell )$ Combinatorial'', and events from processes without a hadronic top quark are labelled ``Other Background''). Uncertainties on the ratio of data to simulation are statistical.

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Figure 5-a:
Distributions of ${E_{\mathrm {T}}^{\text {miss}}}$ for the categorised hadronic selection in (a) the two top tags category, and (b) the less than two top tags category. The pseudoscalar model with $m_{\mathrm {MED}}=$ 100 GeV and $m_{\mathrm {DM}}=$ 1 GeV is shown. Note that the signal expectation is scaled by a factor of 20 in the plots. Statistical and systematic uncertainties on the background prediction are included in the blue band on the lower panel.

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Figure 5-b:
Distributions of ${E_{\mathrm {T}}^{\text {miss}}}$ for the categorised hadronic selection in (a) the two top tags category, and (b) the less than two top tags category. The pseudoscalar model with $m_{\mathrm {MED}}=$ 100 GeV and $m_{\mathrm {DM}}=$ 1 GeV is shown. Note that the signal expectation is scaled by a factor of 20 in the plots. Statistical and systematic uncertainties on the background prediction are included in the blue band on the lower panel.

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Figure 6-a:
${E_{\mathrm {T}}^{\text {miss}}}$ distributions in semileptonic channel control regions enriched in (a) dileptonic $\mathrm{ t \bar{t} }$, (b) $ {W+\textrm {jets}}$ events. Data (black dots) and simulated backgrounds (filled histograms) are compared for an integrated luminosity of 2.2 fb$^{-1}$. The gray dashed band indicates the statistical uncertainty on the predicted background.

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Figure 6-b:
${E_{\mathrm {T}}^{\text {miss}}}$ distributions in semileptonic channel control regions enriched in (a) dileptonic $\mathrm{ t \bar{t} }$, (b) $ {W+\textrm {jets}}$ events. Data (black dots) and simulated backgrounds (filled histograms) are compared for an integrated luminosity of 2.2 fb$^{-1}$. The gray dashed band indicates the statistical uncertainty on the predicted background.

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Figure 7-a:
${E_{\mathrm {T}}^{\text {miss}}}$ distributions for the categorised hadronic channel control regions enriched in semileptonic $\mathrm{ t \bar{t} }$ events ((a) and (b)) and enriched in $W/Z+\textrm {jets}$ events ((c) and (d)). Statistical and systematic uncertainties on the background prediction are included in the blue band on the lower panel.

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Figure 7-b:
${E_{\mathrm {T}}^{\text {miss}}}$ distributions for the categorised hadronic channel control regions enriched in semileptonic $\mathrm{ t \bar{t} }$ events ((a) and (b)) and enriched in $W/Z+\textrm {jets}$ events ((c) and (d)). Statistical and systematic uncertainties on the background prediction are included in the blue band on the lower panel.

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Figure 7-c:
${E_{\mathrm {T}}^{\text {miss}}}$ distributions for the categorised hadronic channel control regions enriched in semileptonic $\mathrm{ t \bar{t} }$ events ((a) and (b)) and enriched in $W/Z+\textrm {jets}$ events ((c) and (d)). Statistical and systematic uncertainties on the background prediction are included in the blue band on the lower panel.

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Figure 7-d:
${E_{\mathrm {T}}^{\text {miss}}}$ distributions for the categorised hadronic channel control regions enriched in semileptonic $\mathrm{ t \bar{t} }$ events ((a) and (b)) and enriched in $W/Z+\textrm {jets}$ events ((c) and (d)). Statistical and systematic uncertainties on the background prediction are included in the blue band on the lower panel.

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Figure 8-a:
Post-fit distributions of ${E_{\mathrm {T}}^{\text {miss}}}$ expected from SM backgrounds and observed in data in the signal regions for the (a) semileptonic, (b) inclusive hadronic, (c) two top tags hadronic category and (c) less than two top tags hadronic category. The expected distributions are shown after fitting to the observed data simultaneously across signal and control regions with an assumption of zero signal contribution. The overall post-fit uncertainties are shown in the blue band on the lower panel.

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Figure 8-b:
Post-fit distributions of ${E_{\mathrm {T}}^{\text {miss}}}$ expected from SM backgrounds and observed in data in the signal regions for the (a) semileptonic, (b) inclusive hadronic, (c) two top tags hadronic category and (c) less than two top tags hadronic category. The expected distributions are shown after fitting to the observed data simultaneously across signal and control regions with an assumption of zero signal contribution. The overall post-fit uncertainties are shown in the blue band on the lower panel.

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Figure 8-c:
Post-fit distributions of ${E_{\mathrm {T}}^{\text {miss}}}$ expected from SM backgrounds and observed in data in the signal regions for the (a) semileptonic, (b) inclusive hadronic, (c) two top tags hadronic category and (c) less than two top tags hadronic category. The expected distributions are shown after fitting to the observed data simultaneously across signal and control regions with an assumption of zero signal contribution. The overall post-fit uncertainties are shown in the blue band on the lower panel.

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Figure 8-d:
Post-fit distributions of ${E_{\mathrm {T}}^{\text {miss}}}$ expected from SM backgrounds and observed in data in the signal regions for the (a) semileptonic, (b) inclusive hadronic, (c) two top tags hadronic category and (c) less than two top tags hadronic category. The expected distributions are shown after fitting to the observed data simultaneously across signal and control regions with an assumption of zero signal contribution. The overall post-fit uncertainties are shown in the blue band on the lower panel.

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Figure 9-a:
95% CL upper limit on the ratio of the DM production cross section to the simplified model expectation as a function of scalar (a) and pseudoscalar (b) mediator mass with semileptonic and categorised hadronic channels combined. The hypothesis of a DM candidate of mass equal to 1 GeV is considered.

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Figure 9-b:
95% CL upper limit on the ratio of the DM production cross section to the simplified model expectation as a function of scalar (a) and pseudoscalar (b) mediator mass with semileptonic and categorised hadronic channels combined. The hypothesis of a DM candidate of mass equal to 1 GeV is considered.
Tables

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Table 1:
Observed and expected post-fit event yields with 2.2 fb$^{-1}$ of data in the signal region of the semileptonic channel. A-priori expected signal yields for the a few model points are listed. The uncertainties on the signal expectations are statistical only.

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Table 2:
Observed and expected post-fit event yields with 2.2 fb$^{-1}$ of data in the signal region of the inclusive hadronic channel. A-priori expected signal yields for the a few model points are listed. The uncertainties on the signal expectations are statistical only.

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Table 3:
Observed and expected post-fit yields with 2.2 fb$^{-1}$ of data in the signal regions of the categorised hadronic channel. A-priori expected signal yields for the a few model points are listed. The uncertainties on the signal expectations are statistical only.

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Table 4:
Expected limits on $\mu $ for scalar and pseudoscalar models in the combined categorised search and the combined inclusive search.

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Table 5:
Observed and expected limits on $\mu $ for scalar models with the semileptonic and categorised hadronic channels combined.

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Table 6:
Observed and expected limits on $\mu $ for pseudoscalar models with the semileptonic and categorised hadronic channels combined.
Summary
A search has been presented for an excess of events with large missing transverse momentum produced in association with top quarks in a data sample of proton-proton interactions at center-of-mass energy of 13 TeV. The data correspond to an integrated luminosity of 2.2 fb$^{-1}$ collected by the CMS detector at the LHC in 2015. No significant deviation from SM background predictions is observed. The search is interpreted in terms of DM production to place constraints on the parameter space of simplified models with spin-0 mediators.
Additional Figures

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Additional Figure 1:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ in semileptonic channel control regions enriched in dileptonic $ \mathrm{ t \bar{t} } $ events. The blue band in the lower panel shows the overall post-fit uncertainties on the background prediction.

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Additional Figure 2:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ in semileptonic channel control regions enriched in dileptonic W+jet events. The blue band in the lower panel shows the overall post-fit uncertainties on the background prediction.

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Additional Figure 3:
Observed and expected limits over mediator mass for scalar models with dark matter fermion mass of 1 GeV and couplings $g_q=g_{\mathrm {DM}}=1$ in the semileptonic channel.

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Additional Figure 4:
Observed and expected limits over mediator mass for pseudoscalar models with dark matter fermion mass of 1 GeV and couplings $g_q=g_{\mathrm {DM}}=1$ in the semileptonic channel.

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Additional Figure 5:
Expected and observed upper limits for various $M_{\chi }-M_{\phi }$ hypotheses in the semileptonic channel for scalar mediator simplified models. The couplings are taken to be $g_q=g_{\mathrm {DM}}=1$.

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Additional Figure 6:
Expected and observed upper limits for various $M_{\chi }-M_{\phi }$ hypotheses in the semileptonic channel for pseudoscalar mediator simplified models. The couplings are taken to be $g_q=g_{\mathrm {DM}}=1$.

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Additional Figure 7:
Observed and post-fit expected event yields with 2.2 fb$^{-1}$ of data in the dileptonic $ \mathrm{ t \bar{t} } $ control region (SL-tt2l) and the W+jets control region (SL-Wjets) of the semileptonic channel.

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Additional Figure 8:
$E_{\mathrm{T}}^{\text{miss}}$ distribution for the inclusive hadronic channel control region enriched in $ \mathrm{ t \bar{t} } (1\ell) $ events. The gray dashed band indicates the statistical uncertainty on the predicted background.

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Additional Figure 9:
$E_{\mathrm{T}}^{\text{miss}}$ distribution for the inclusive hadronic channel control region enriched in V+jets events. The gray dashed band indicates the statistical uncertainty on the predicted background.

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Additional Figure 10:
$E_{\mathrm{T}}^{\text{miss}}$ distribution for the inclusive hadronic channel control region enriched in W+jet events. The gray dashed band indicates the statistical uncertainty on the predicted background.

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Additional Figure 11:
$E_{\mathrm{T}}^{\text{miss}}$ distribution for the inclusive hadronic channel control region enriched in Z+jets events. The gray dashed band indicates the statistical uncertainty on the predicted background.

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Additional Figure 12:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ distribution for the inclusive hadronic channel control region enriched in $ \mathrm{ t \bar{t} } (1\ell) $ events. The overall post-fit uncertainties are shown in the blue band on the lower panel.

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Additional Figure 13:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ distribution for the inclusive hadronic channel control region enriched in V+jets events. The overall post-fit uncertainties are shown in the blue band on the lower panel.

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Additional Figure 14:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ distribution for the inclusive hadronic channel control region enriched in W+jet events. The overall post-fit uncertainties are shown in the blue band on the lower panel.

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Additional Figure 15:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ distribution for the inclusive hadronic channel control region enriched in Z+jets events. The overall post-fit uncertainties are shown in the blue band on the lower panel.

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Additional Figure 16:
Observed and expected limits over mediator mass for scalar models with dark matter fermion mass of 1 GeV and couplings $g_q=g_{\mathrm {DM}}=$ 1 in the inclusive hadronic channel.

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Additional Figure 17:
Observed and expected limits over mediator mass for pseudoscalar models with dark matter fermion mass of 1 GeV and and couplings $g_q=g_{\mathrm {DM}}=$ 1 in the inclusive hadronic channel.

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Additional Figure 18:
Expected and observed upper limits for various $M_{\chi }-M_{\phi }$ hypotheses in the inslusive hadronic channel for scalar mediator simplified models. The couplings are taken to be $g_q=g_{\mathrm {DM}}=$ 1.

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Additional Figure 19:
Expected and observed upper limits for various $M_{\chi }-M_{\phi }$ hypotheses in the inclusive hadronic channel for pseudoscalar mediator simplified models. The couplings are taken to be $g_q=g_{\mathrm {DM}}=$ 1.

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Additional Figure 20:
Observed and post-fit expected event yields with 2.2 fb$^{-1}$ of data in the control regions of the inclusive hadronic channel: the semileptonic $ \mathrm{ t \bar{t} } $ CR (HAD-tt1l), the V+jets CR (HAD-Vjets), the W+jets CR (HAD-Wjets), and the Z+jets CR (HAD-Zll).

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Additional Figure 21-a:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ distribution in the semileptonic $ \mathrm{ t \bar{t} } $ control region for the category of two top tags (left) and the category of less than two top tags. The blue band in the lower panel shows the overall uncertainties on the background prediction.

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Additional Figure 21-b:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ distribution in the semileptonic $ \mathrm{ t \bar{t} } $ control region for the category of two top tags (left) and the category of less than two top tags. The blue band in the lower panel shows the overall uncertainties on the background prediction.

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Additional Figure 22-a:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ distribution in the V+jets control region for the category of two top tags (left) and the category of less than two top tags. The blue band in the lower panel shows the overall uncertainties on the background prediction.

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Additional Figure 22-b:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ distribution in the V+jets control region for the category of two top tags (left) and the category of less than two top tags. The blue band in the lower panel shows the overall uncertainties on the background prediction.

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Additional Figure 23-a:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ distribution in the V+jets control region for the category of two top tags (left) and the category of less than two top tags. The blue band in the lower panel shows the overall uncertainties on the background prediction.

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Additional Figure 23-b:
Post-fit $E_{\mathrm{T}}^{\text{miss}}$ distribution in the V+jets control region for the category of two top tags (left) and the category of less than two top tags. The blue band in the lower panel shows the overall uncertainties on the background prediction.

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Additional Figure 24:
Post-fit hadronic recoil distribution (i.e. dilepton momentum subtracted from ${E_{\mathrm {T}}^{\text {miss}}} $) in the Z+jets control region. This control region is not split into categories because there are very few events passing two top tags. The blue band in the lower panel shows the overall uncertainties on the background prediction.

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Additional Figure 25:
Observed and expected limits over mediator mass for scalar models with dark matter fermion mass of 1 GeV and couplings $g_q=g_{\mathrm {DM}}=$ 1 in the categorised hadronic channel.

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Additional Figure 26:
Observed and expected limits over mediator mass for pseudoscalar models with dark matter fermion mass of 1 GeV and couplings $g_q=g_{\mathrm {DM}}=$ 1 in the categorised hadronic channel.

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Additional Figure 27:
Performance curves of the resolved top tagging efficiency versus mis-tag rate in simulation. The signal is tri-jets from hadronically decaying top quarks in semileptonic $ \mathrm{ t \bar{t} } $ events. The solid purple curve shows the performance versus combinatorial tri-jets (not all three jets come from hadronic top quark decays) in semileptonic $ \mathrm{ t \bar{t} } $ events. The dashed blue curve shows the performance versus Z$(\nu \nu )$+jets with at least one b-tag.

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Additional Figure 28:
Resolved top tagger discriminant for tri-jet top candidates in a semileptonic $ \mathrm{ t \bar{t} } $ enriched sample. The simulated events are split by tri-jets from hadronic tops ($ \mathrm{ t \bar{t} } (1\ell) $ Hardronic Matched), from combinatorics in semileptonic $ \mathrm{ t \bar{t} } $ ($ \mathrm{ t \bar{t} } (1\ell) $ Combinatorial), and from other backgrounds. Uncertainties on the data/MC ratio are statistical.

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Additional Figure 29:
Kinematic fit probability for tri-jet top candidates in a semileptonic $ \mathrm{ t \bar{t} } $ enriched sample. The simulated events are split by tri-jets from hadronic tops ($ \mathrm{ t \bar{t} } (1\ell) $ Hadronic Matched), from combinatorics in semileptonic $ \mathrm{ t \bar{t} } $ ($ \mathrm{ t \bar{t} } (1\ell) $ Combinatorial), and from other backgrounds. Uncertainties on the data/MC ratio are statistical.

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Additional Figure 30-a:
MVA training distributions for the leading (top), middle (bottom-left), and lowest (bottom-right) b-tag discriminant value in a tri-jet combination. Training events come from semileptonic $ \mathrm{ t \bar{t} } $ simulation. The signal is hadronically decaying tops matched to the tri-jet, while the background is tri-jet combinations that are not fully matched to the three daughter quarks from the top decay. Signal and background distributions are normalised to unit area.

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Additional Figure 30-b:
MVA training distributions for the leading (top), middle (bottom-left), and lowest (bottom-right) b-tag discriminant value in a tri-jet combination. Training events come from semileptonic $ \mathrm{ t \bar{t} } $ simulation. The signal is hadronically decaying tops matched to the tri-jet, while the background is tri-jet combinations that are not fully matched to the three daughter quarks from the top decay. Signal and background distributions are normalised to unit area.

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Additional Figure 30-c:
MVA training distributions for the leading (top), middle (bottom-left), and lowest (bottom-right) b-tag discriminant value in a tri-jet combination. Training events come from semileptonic $ \mathrm{ t \bar{t} } $ simulation. The signal is hadronically decaying tops matched to the tri-jet, while the background is tri-jet combinations that are not fully matched to the three daughter quarks from the top decay. Signal and background distributions are normalised to unit area.

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Additional Figure 31:
MVA training distributions for kinematic fit probability. Training events come from semileptonic $ \mathrm{ t \bar{t} } $ simulation. The signal is hadronically decaying tops matched to the tri-jet, while the background is tri-jet combinations that are not fully matched to the three daughter quarks from the top decay. Signal and background distributions are normalised to unit area.

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Additional Figure 32-a:
MVA training distributions for the quark/gluon likelihood of the leading (left) and the trailing (right) "W-jet". The "W-jets" are the two jets with middle and lowest b-tag discrimant values, representing candidates for hadronic W decay. Training events come from semileptonic $ \mathrm{ t \bar{t} } $ simulation. The signal is hadronically decaying tops matched to the tri-jet, while the background is tri-jet combinations that are not fully matched to the three daughter quarks from the top decay. Signal and background distributions are normalised to unit area.

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Additional Figure 32-b:
MVA training distributions for the quark/gluon likelihood of the leading (left) and the trailing (right) "W-jet". The "W-jets" are the two jets with middle and lowest b-tag discrimant values, representing candidates for hadronic W decay. Training events come from semileptonic $ \mathrm{ t \bar{t} } $ simulation. The signal is hadronically decaying tops matched to the tri-jet, while the background is tri-jet combinations that are not fully matched to the three daughter quarks from the top decay. Signal and background distributions are normalised to unit area.

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Additional Figure 33:
Resolved top tagger efficiencies in data and MC for the hadronic top signal (green), the combinatorial background in semileptonic $ \mathrm{ t \bar{t} } $ (red), and the background in processes without a hadronic top (magenta). Efficiencies are binned in $p_{\mathrm{T}}$: $p_{\mathrm{T}} < $ 100 GeV, 100 GeV $ < p_{\mathrm{T}} < $ 200 GeV, and $p_{\mathrm{T}} > $ 200 GeV. Efficiencies are measured with the tag-and-probe method using $ \mathrm{ t \bar{t} } $ events. The first two efficiency terms are measured in semileptonic $ \mathrm{ t \bar{t} } $ dominated events via a single muon plus jets with b-tags selection. The third efficiency term is measured in dileptonic $ \mathrm{ t \bar{t} } $ dominated events via a dilepton plus jets with b-tags selection. In each event, the tri-jet combination with the highest resolved top tagger discriminant value (the ``probe'') is used to compute the efficiency.

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Additional Figure 34:
Distribution of the resolved top tagger discriminant in the dilepton sample used to measure the efficiency for non-$ \mathrm{ t \bar{t} } (1\ell) $ background. Contributions from hadronic tops and $ \mathrm{ t \bar{t} } (1\ell) $ combinatorial bkg are negligible. The sample is dominated by dileptonic ttbar events, with some contribution from $Z(\ell \ell )$+jets. The efficiency for any working point is computed by counting the fraction of events above the cut threshold.

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Additional Figure 35-a:
Fit to the tri-jet mass distribution for passing (right) and failing (left) ``probes'' for the efficiency measurement using the tag-and-probe method. The data is fitted to three templates: tri-jets from hadronic tops (signal), tri-jets from combinatorics in semileptonic $ \mathrm{ t \bar{t} } $ ($ \mathrm{ t \bar{t} } (1\ell) $ comb. bkg), and tri-jets from other processes (non-$ \mathrm{ t \bar{t} } (1\ell) $ bkg). Events are tagged by requirements of exactly one good muon, four or more jets with at least two b-tags, and $E_{\mathrm{T}}^{\text{miss}} > $ 40 GeV. This produces a sample dominated by $ \mathrm{ t \bar{t} } (1\ell) $. The ``probe'' is the tri-jet combination with the highest resolved top tagger discriminant value in the event.

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Additional Figure 35-b:
Fit to the tri-jet mass distribution for passing (right) and failing (left) ``probes'' for the efficiency measurement using the tag-and-probe method. The data is fitted to three templates: tri-jets from hadronic tops (signal), tri-jets from combinatorics in semileptonic $ \mathrm{ t \bar{t} } $ ($ \mathrm{ t \bar{t} } (1\ell) $ comb. bkg), and tri-jets from other processes (non-$ \mathrm{ t \bar{t} } (1\ell) $ bkg). Events are tagged by requirements of exactly one good muon, four or more jets with at least two b-tags, and $E_{\mathrm{T}}^{\text{miss}} > $ 40 GeV. This produces a sample dominated by $ \mathrm{ t \bar{t} } (1\ell) $. The ``probe'' is the tri-jet combination with the highest resolved top tagger discriminant value in the event.

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Additional Figure 36:
Efficiency in simulation to tag hadronically decaying top quarks as a function of generated top quark $p_{\mathrm{T}}$ for the resolved top tagger discriminant $ > $ 0 (green), for Cambridge Aachen (CA) R=1.5 PUPPI jets with $p_{\mathrm{T}} > $ 180 GeV and soft drop mass 110 GeV - 210 GeV (blue), and for CA R=1.5 PUPPI jets with $p_{\mathrm{T}} > $ 180 GeV and soft drop mass 110 GeV - 210 GeV and N-subjettiness $\tau _3/\tau _2 < $ 0.61. The working points for soft drop mass and N-subjettiness are the ones used in EXO-16-017. For the soft drop algorithm, $\beta =$ 1 and $z_{cut}=$ 0.15 are used.

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Additional Figure 37:
Top quark $p_{\mathrm{T}}$ distributions for a few $ \mathrm{ t \bar{t} } $+DM signal models: 200 GeV Pseudoscalar mediator decaying to 1 GeV fermion pair (moderate mediator), 1000 GeV Pseudoscalar mediator decaying to 150 GeV fermion pair (heavy mediator), and 500 GeV Pseudoscalar mediator decaying to 500 GeV fermion pair (off-shell production). The events have $E_{\mathrm{T}}^{\text{miss}} > $ 200 GeV and at least four jets with $p_{\mathrm{T}}> $ 30 GeV and $|\eta |< $ 4. Distributions are normalised to unit area.
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