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CMS-SUS-19-009 ; CERN-EP-2019-233
Search for direct top squark pair production in events with one lepton, jets, and missing transverse momentum at 13 TeV with the CMS experiment
JHEP 05 (2020) 032
Abstract: A search for direct top squark pair production is presented. The search is based on proton-proton collision data at a center-of-mass energy of 13 TeV recorded by the CMS experiment at the LHC during 2016, 2017, and 2018, corresponding to an integrated luminosity of 137 fb$^{-1}$. The search is carried out using events with a single isolated electron or muon, multiple jets, and large transverse momentum imbalance. The observed data are consistent with the expectations from standard model processes. Exclusions are set in the context of simplified top squark pair production models. Depending on the model, exclusion limits at 95% confidence level for top squark masses up to 1.2 TeV are set for a massless lightest supersymmetric particle, assumed to be the neutralino. For models with top squark masses of 1 TeV, neutralino masses up to 600 GeV are excluded.
Figures & Tables Summary Additional Figures & Tables References CMS Publications
Figures

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Figure 1:
Diagrams for top squark pair production, with each $\tilde{\mathrm{t}}$ decaying either to $\mathrm{t} \tilde{\chi}^0_1 $ or to $\mathrm{b} \tilde{\chi}^{\pm}_1 $. For the latter decay, the $\tilde{\chi}^{\pm}_1$ decays further into a W boson and a $\tilde{\chi}^0_1$.

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Figure 1-a:
Diagram for top squark pair production, with both $\tilde{\mathrm{t}}$ decaying to $\mathrm{t} \tilde{\chi}^0_1 $.

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Figure 1-b:
Diagram for top squark pair production, with each $\tilde{\mathrm{t}}$ decaying either to $\mathrm{t} \tilde{\chi}^0_1 $ or to $\mathrm{b} \tilde{\chi}^{\pm}_1 $. For the latter decay, the $\tilde{\chi}^{\pm}_1$ decays further into a W boson and a $\tilde{\chi}^0_1$.

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Figure 1-c:
Diagram for top squark pair production, with both $\tilde{\mathrm{t}}$ decaying to $\mathrm{b} \tilde{\chi}^{\pm}_1 $. The $\tilde{\chi}^{\pm}_1$ decays further into a W boson and a $\tilde{\chi}^0_1$.

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Figure 2:
The distributions of ${{p_{\mathrm {T}}} ^\text {miss}}$ (upper left) and ${N_{\mathrm {j}}}$ (upper right) are shown after applying the preselection requirements of Table 1, including the requirement on the variable shown, and the distributions of ${M_{\mathrm {T}}}$ (lower left) and ${\min{\Delta \phi (j_{1,2}, {\vec{p}_{\mathrm {T}}^{\text {miss}}})}}$ (lower right) are shown after applying the preselection requirements, excluding the requirement on the variable shown with the green, dashed vertical line marking the location of the requirement. The stacked histograms for the SM background contributions (categorized as described in Section 5) are from the simulation to illustrate the discriminating power of these variables. The gray hashed region indicates the statistical uncertainty of the simulated samples. The last bin in each distribution includes the overflow events. The expectations for three signal hypotheses are overlaid, and the corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively. For models with ${\mathrm{b}}\tilde{\chi}^{\pm}_1 $ decays, the mass of the chargino is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$.

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Figure 2-a:
The distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ is shown after applying the preselection requirements of Table 1, including the requirement on the variable shown. The stacked histograms for the SM background contributions (categorized as described in Section 5) are from the simulation to illustrate the discriminating power of the variable. The gray hashed region indicates the statistical uncertainty of the simulated samples. The last bin in each distribution includes the overflow events. The expectations for three signal hypotheses are overlaid, and the corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively. For models with ${\mathrm{b}}\tilde{\chi}^{\pm}_1 $ decays, the mass of the chargino is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$.

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Figure 2-b:
The distribution of ${N_{\mathrm {j}}}$ is shown after applying the preselection requirements of Table 1, including the requirement on the variable shown. The stacked histograms for the SM background contributions (categorized as described in Section 5) are from the simulation to illustrate the discriminating power of the variable. The gray hashed region indicates the statistical uncertainty of the simulated samples. The last bin in each distribution includes the overflow events. The expectations for three signal hypotheses are overlaid, and the corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively. For models with ${\mathrm{b}}\tilde{\chi}^{\pm}_1 $ decays, the mass of the chargino is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$.

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Figure 2-c:
The distribution of ${M_{\mathrm {T}}}$ is shown after applying the preselection requirements, excluding the requirement on the variable shown with the green, dashed vertical line marking the location of the requirement. The stacked histograms for the SM background contributions (categorized as described in Section 5) are from the simulation to illustrate the discriminating power of the variable. The gray hashed region indicates the statistical uncertainty of the simulated samples. The last bin in each distribution includes the overflow events. The expectations for three signal hypotheses are overlaid, and the corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively. For models with ${\mathrm{b}}\tilde{\chi}^{\pm}_1 $ decays, the mass of the chargino is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$.

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Figure 2-d:
The distribution of ${\min{\Delta \phi (j_{1,2}, {\vec{p}_{\mathrm {T}}^{\text {miss}}})}}$ is shown after applying the preselection requirements, excluding the requirement on the variable shown with the green, dashed vertical line marking the location of the requirement. The stacked histograms for the SM background contributions (categorized as described in Section 5) are from the simulation to illustrate the discriminating power of the variable. The gray hashed region indicates the statistical uncertainty of the simulated samples. The last bin in each distribution includes the overflow events. The expectations for three signal hypotheses are overlaid, and the corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively. For models with ${\mathrm{b}}\tilde{\chi}^{\pm}_1 $ decays, the mass of the chargino is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$.

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Figure 3:
The distribution of ${t_{\text {mod}}}$ (upper left), ${M_{\ell {\mathrm{b}}}}$ (upper right), the merged top quark tagging discriminant (lower left), and the resolved top quark tagging discriminant (lower right) are shown after the preselection requirements. The green, dashed vertical lines mark the locations of the binning or tagging requirements. The stacked histograms showing the SM background contributions (categorized as described in Section 5) are from the simulation to illustrate the discriminating power of these variables. The gray hashed region indicates the statistical uncertainty of the simulated samples. Events outside the range of the distributions shown are included in the first or last bins. The expectations for three signal hypotheses are overlaid, and the corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively. For models with ${\mathrm{b}}\tilde{\chi}^{\pm}_1 $ decays, the mass of the chargino is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$.

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Figure 3-a:
The distribution of ${t_{\text {mod}}}$ is shown after the preselection requirements. The green, dashed vertical lines mark the locations of the binning or tagging requirements. The stacked histograms showing the SM background contributions (categorized as described in Section 5) are from the simulation to illustrate the discriminating power of these variables. The gray hashed region indicates the statistical uncertainty of the simulated samples. Events outside the range of the distributions shown are included in the first or last bins. The expectations for three signal hypotheses are overlaid, and the corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively. For models with ${\mathrm{b}}\tilde{\chi}^{\pm}_1 $ decays, the mass of the chargino is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$.

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Figure 3-b:
The distribution of ${M_{\ell {\mathrm{b}}}}$ is shown after the preselection requirements. The green, dashed vertical lines mark the locations of the binning or tagging requirements. The stacked histograms showing the SM background contributions (categorized as described in Section 5) are from the simulation to illustrate the discriminating power of these variables. The gray hashed region indicates the statistical uncertainty of the simulated samples. Events outside the range of the distributions shown are included in the first or last bins. The expectations for three signal hypotheses are overlaid, and the corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively. For models with ${\mathrm{b}}\tilde{\chi}^{\pm}_1 $ decays, the mass of the chargino is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$.

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Figure 3-c:
The distribution of the merged top quark tagging discriminant is shown after the preselection requirements. The green, dashed vertical lines mark the locations of the binning or tagging requirements. The stacked histograms showing the SM background contributions (categorized as described in Section 5) are from the simulation to illustrate the discriminating power of these variables. The gray hashed region indicates the statistical uncertainty of the simulated samples. Events outside the range of the distributions shown are included in the first or last bins. The expectations for three signal hypotheses are overlaid, and the corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively. For models with ${\mathrm{b}}\tilde{\chi}^{\pm}_1 $ decays, the mass of the chargino is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$.

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Figure 3-d:
The distribution of the resolved top quark tagging discriminant is shown after the preselection requirements. The green, dashed vertical lines mark the locations of the binning or tagging requirements. The stacked histograms showing the SM background contributions (categorized as described in Section 5) are from the simulation to illustrate the discriminating power of these variables. The gray hashed region indicates the statistical uncertainty of the simulated samples. Events outside the range of the distributions shown are included in the first or last bins. The expectations for three signal hypotheses are overlaid, and the corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively. For models with ${\mathrm{b}}\tilde{\chi}^{\pm}_1 $ decays, the mass of the chargino is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$.

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Figure 4:
Distributions of kinematic variables in the inclusive control samples used for the background estimation. The gray hashed region indicates the statistical uncertainty of the simulated samples. The distributions for data are shown as points with error bars corresponding to the statistical uncertainty. The stacked histograms show the expected SM background contributions from simulation, normalized to the number of events observed in data. The last bin in each distribution also includes the overflow. Left: Distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ in the dilepton control sample. Right: Distribution of ${M_{\ell {\mathrm{b}}}}$ in the 0b control sample.

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Figure 4-a:
Distribution ${{p_{\mathrm {T}}} ^\text {miss}}$ in the dilepton control sample. The gray hashed region indicates the statistical uncertainty of the simulated samples. The distributions for data are shown as points with error bars corresponding to the statistical uncertainty. The stacked histograms show the expected SM background contributions from simulation, normalized to the number of events observed in data. The last bin in the distribution also includes the overflow.

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Figure 4-b:
Distribution of ${M_{\ell {\mathrm{b}}}}$ in the 0b control sample. The gray hashed region indicates the statistical uncertainty of the simulated samples. The distributions for data are shown as points with error bars corresponding to the statistical uncertainty. The stacked histograms show the expected SM background contributions from simulation, normalized to the number of events observed in data. The last bin in each distribution also includes the overflow.

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Figure 5:
The observed and expected yields in Tables 7 and 8 and their ratios are shown as stacked histograms. The lost lepton and 1$\ell $ (not from t) are estimated from data-driven methods, while 1$\ell $ (from t) and $\mathrm{Z}\to\nu\bar{\nu}$ backgrounds are taken from simulation. The uncertainties consist of statistical and systematic components summed in quadrature and are shown as shaded bands.

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Figure 6:
Exclusion limits at 95% CL for the ${\mathrm{p}} {\mathrm{p}} \to \tilde{\mathrm{t}} \bar{\tilde{\mathrm{t}}} \to \mathrm{t} \mathrm{\bar{t}} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $ scenario. The colored map illustrates the 95% CL upper limits on the product of the production cross section and branching fraction. The area enclosed by the thick black curve represents the observed exclusion region, and that enclosed by the thick, dashed red curve represents the expected exclusion. The thin dotted (red) curves indicate the region containing 68% of the distribution of limits expected under the background-only hypothesis. The thin solid (black) curves show the change in the observed limit by varying the signal cross sections within their theoretical uncertainties. The white band excluded from the limits corresponds to the region $ {| m_{\tilde{\mathrm{t}}}-m_{\mathrm {t}}-m_{\tilde{\chi}^0_1} |} < $ 25 GeV, $ m_{\tilde{\mathrm{t}}} < $ 275 GeV, where the selection acceptance for top squark pair production changes rapidly and is therefore very sensitive to the details of the simulation.

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Figure 7:
Exclusion limits at 95% CL for the ${\mathrm{p}} {\mathrm{p}} \to \tilde{\mathrm{t}} \bar{\tilde{\mathrm{t}}} \to \mathrm{b} \mathrm{\bar{b}} \tilde{\chi}^{\pm}_1 \tilde{\chi}^{\pm}_1 \left (\tilde{\chi}^{\pm}_1 \to \mathrm{W} \tilde{\chi}^0_1 \right)$ scenario. The mass of $\tilde{\chi}^{\pm}_1$ is chosen to be $(m_{\tilde{\mathrm{t}}} + m_{\tilde{\chi}^0_1})/2$. The colored map illustrates the 95% CL upper limits on the product of the production cross section and branching fraction. The area enclosed by the thick black curve represents the observed exclusion region, and that enclosed by the thick, dashed red curve represents the expected exclusion. The thin dotted (red) curves indicate the region containing 68% of the distribution of limits expected under the background-only hypothesis. The thin solid (black) curves show the change in the observed limit by varying the signal cross sections within their theoretical uncertainties.

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Figure 8:
Exclusion limits at 95% CL for the ${\mathrm{p}} {\mathrm{p}} \to \tilde{\mathrm{t}} \bar{\tilde{\mathrm{t}}} \to \mathrm{t} {\mathrm{b}}\tilde{\chi}^{\pm}_1 \tilde{\chi}^0_1 \left (\tilde{\chi}^{\pm}_1 \to \mathrm{W} ^{*}\tilde{\chi}^0_1 \right)$ scenario. The mass difference between the $\tilde{\chi}^{\pm}_1$ and the $\tilde{\chi}^0_1$ is taken to be 5 GeV. The colored map illustrates the 95% CL upper limits on the product of the production cross section and branching fraction. The area enclosed by the thick black curve represents the observed exclusion region, and that enclosed by the thick, dashed red curve represents the expected exclusion. The thin dotted (red) curves indicate the region containing 68% of the distribution of limits expected under the background-only hypothesis. The thin solid (black) curves show the change in the observed limit by varying the signal cross sections within their theoretical uncertainties.
Tables

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Table 1:
Summary of the event preselection requirements. The magnitude of the vector sum of the ${p_{\mathrm {T}}}$ of all jets and leptons in the event is denoted by ${H_{\mathrm {T}}^{\text {miss}}}$. The symbols $ {p_{\mathrm {T}}} ^{\ell}$ and $\eta ^{\ell}$ correspond to the transverse momentum and pseudorapidity of the lepton. The symbol $ {{p_{\mathrm {T}}} ^{\text {sum}}} $ is the scalar sum of the ${p_{\mathrm {T}}}$ of all (charged) PF candidates in a cone around the lepton (track), excluding the lepton (track) itself. Finally, $ {N_{\mathrm{b},\text {med}}} $ and $ {N_{\mathrm{b},\text {soft}}} $ are the multiplicity of b-tagged jets (medium working point) and soft b objects, respectively.

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Table 2:
The 39 signal regions of the standard selection, with each neighboring pair of values in the ${{p_{\mathrm {T}}} ^\text {miss}}$ bins column defines a single signal region. At least one b-tagged jet selected using the medium (tight) working point is required for search regions with $ {M_{\ell {\mathrm{b}}}} $ lower (higher) than 175 GeV. For the top quark tagging categories, we use the abbreviations U for untagged, M for merged, and R for resolved.

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Table 3:
Definitions of the total 10 search regions targeting signal scenarios with a compressed mass spectrum. Search regions for $\Delta m\left (\tilde{\mathrm{t}},\tilde{\chi}^0_1 \right)\sim m_{\mathrm{t}}$ and $\sim m_{\mathrm{W}}$ scenarios are labeled with the letter I and J, respectively. The symbol $ {p_{\mathrm {T}}} ^{\ell}$ denotes the transverse momentum of the lepton. Each neighboring pair of values in the ${{p_{\mathrm {T}}} ^\text {miss}}$ bins column defines a single signal region.

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Table 4:
Dilepton control samples that are combined when estimating the lost-lepton background.

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Table 5:
Search regions where the corresponding 0b control samples are combined when estimating the W+jets background.

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Table 6:
Summary of major systematic uncertainties. The range of values reflect their impact on the estimated backgrounds and signal yields in different signal regions. A 100% uncertainty is assigned to the 1$\ell $ (from t) background estimated from simulation.

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Table 7:
The observed and expected yields in the standard search regions. For the top quark tagging categories, we use the abbreviations U for untagged, M for merged, and R for resolved.

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Table 8:
The observed and expected yields for signal regions targeting scenarios of top squark production with a compressed mass spectrum.
Summary
A search for direct top squark pair production is performed using events with one lepton, jets, and significant missing transverse momentum. The search is based on proton-proton collision data at a center-of-mass energy of 13 TeV recorded by the CMS experiment at the LHC during 2016-2018 and corresponding to an integrated luminosity of 137 fb$^{-1}$. The leading backgrounds in this analysis, mainly dileptonic $\mathrm{t\bar{t}}$ decays, where one of the leptons is not reconstructed or identified, and W+jets production are estimated from data control regions. The semileptonic $\mathrm{t\bar{t}}$ and $\mathrm{Z}\to\nu\bar{\nu}$ backgrounds are taken from simulation. No significant deviations from the standard model expectations are observed. Limits on pair-produced top squarks are established in the context of supersymmetry models conserving $R$-parity. Exclusion limits at 95% CL for top squark masses up to 1.2 TeV are set for a massless neutralino. For models with a top squark mass of 1 TeV, neutralino masses up to 600 GeV are excluded.
Additional Figures

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Additional Figure 1:
The distributions of $t_{\mathrm {mod}}$ in the standard search dilepton control sample are shown for the different background components from simulation, which are stacked on top of each other, and the observation. The ${\vec{p}}_{\mathrm {T}}$ vector of the additional lepton in these events is added to the ${\vec{p}}_{\mathrm {T}}^{\,\text {miss}}$ vector during the computation of this variable. The simulation is used only in the extraction of transfer factors, so the total prediction from the simulation is normalized to the observed total yield. The last bin in each distribution also includes the overflow events.

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Additional Figure 2:
The distributions of the merged ${{\mathrm {t}}}$ tagging discriminant in the standard search dilepton control sample are shown for the different background components from simulation, which are stacked on top of each other, and the observation. The simulation is used only in the extraction of transfer factors, so the total prediction from the simulation is normalized to the observed total yield.

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Additional Figure 3:
The distributions of ${{p_{\mathrm {T}}} ^\text {miss}}$ in the standard search control sample with no b-tagged jets are shown for the different background components from simulation, which are stacked on top of each other, and the observation. The simulation is used only in the extraction of transfer factors, so the total prediction from the simulation is normalized to the observed total yield. The last bin in each distribution also includes the overflow events.

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Additional Figure 4:
The distributions of the resolved ${{\mathrm {t}}}$ tagging discriminant in the standard search control sample with no b-tagged jets are shown for the different background components from simulation, which are stacked on top of each other, and the observation. The simulation is used only in the extraction of transfer factors, so the total prediction from the simulation is normalized to the observed total yield.

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Additional Figure 5:
The observed and expected yields for SM background in the signal regions and their ratios are shown as stacked histograms, colors in grayscale. The uncertainties consist of statistical and systematic components summed in quadrature and are shown as shaded bands. Expected yields for some selected signal points are shown overlaid with the stacked histograms.

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Additional Figure 6:
Comparison between postfit and prefit background predictions and data for 137 fb$^{-1}$ collected during 2016, 2017 and 2018 pp collisions.

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Additional Figure 7:
Exclusion limits as presented in the paper, with the color map showing the 95% CL on the signal strength modifier for direct $ {\tilde{\mathrm {t}}} $ production with the $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {\overline {\mathrm {t}}} {\tilde{\chi}^{0}_{1}} {\tilde{\chi}^{0}_{1}} $ decay scenario.

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Additional Figure 8:
Exclusion limits as presented in the paper, with the color map showing the 95% CL on the signal strength modifier for direct $ {\tilde{\mathrm {t}}} $ production with the $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {b}} {\overline {\mathrm {b}}} {\tilde{\chi}^\pm _{1}} {\tilde{\chi}^\pm _{1}} \left ({\tilde{\chi}^\pm _{1}} \to {\mathrm {W}} {\tilde{\chi}^{0}_{1}} \right)$ decay scenario.. The mass of ${\tilde{\chi}^\pm _{1}}$ is chosen to be $(m_{{\tilde{\mathrm {t}}}} + m_{{\tilde{\chi}^{0}_{1}}})/2$.

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Additional Figure 9:
Exclusion limits as presented in the paper, with the color map showing the 95% CL on the signal strength modifier for direct $ {\tilde{\mathrm {t}}} $ production with $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {{\mathrm {b}}} {\tilde{\chi}^\pm _{1}} {\tilde{\chi}^{0}_{1}} \left ({\tilde{\chi}^\pm _{1}} \to {\mathrm {W}}^{*} {\tilde{\chi}^{0}_{1}} \right)$ decay scenario. The mass difference between the ${\tilde{\chi}^\pm _{1}}$ and the ${\tilde{\chi}^{0}_{1}}$ is taken to be 5 GeV.

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Additional Figure 10:
The observed significances for the exclusion limits at 95% CL for direct $ {\tilde{\mathrm {t}}} $ production with the $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {\overline {\mathrm {t}}} {\tilde{\chi}^{0}_{1}} {\tilde{\chi}^{0}_{1}} $ decay scenario.

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Additional Figure 11:
The expected significances for the exclusion limits at 95% CL for direct $ {\tilde{\mathrm {t}}} $ production with the $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {\overline {\mathrm {t}}} {\tilde{\chi}^{0}_{1}} {\tilde{\chi}^{0}_{1}} $ decay scenario.

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Additional Figure 12:
The observed significances for the exclusion limits at 95% CL for direct $ {\tilde{\mathrm {t}}} $ production with the $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {b}} {\overline {\mathrm {b}}} {\tilde{\chi}^\pm _{1}} {\tilde{\chi}^\pm _{1}} \left ({\tilde{\chi}^\pm _{1}} \to {\mathrm {W}} {\tilde{\chi}^{0}_{1}} \right)$ decay scenario.. The mass of ${\tilde{\chi}^\pm _{1}}$ is chosen to be $(m_{{\tilde{\mathrm {t}}}} + m_{{\tilde{\chi}^{0}_{1}}})/2$.

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Additional Figure 13:
The expected significances for the exclusion limits at 95% CL for direct $ {\tilde{\mathrm {t}}} $ production with the $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {b}} {\overline {\mathrm {b}}} {\tilde{\chi}^\pm _{1}} {\tilde{\chi}^\pm _{1}} \left ({\tilde{\chi}^\pm _{1}} \to {\mathrm {W}} {\tilde{\chi}^{0}_{1}} \right)$ decay scenario.. The mass of ${\tilde{\chi}^\pm _{1}}$ is chosen to be $(m_{{\tilde{\mathrm {t}}}} + m_{{\tilde{\chi}^{0}_{1}}})/2$.

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Additional Figure 14:
The observed significances for the exclusion limits at 95% CL for direct $ {\tilde{\mathrm {t}}} $ production with $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {{\mathrm {b}}} {\tilde{\chi}^\pm _{1}} {\tilde{\chi}^{0}_{1}} \left ({\tilde{\chi}^\pm _{1}} \to {\mathrm {W}}^{*} {\tilde{\chi}^{0}_{1}} \right)$ decay scenario. The mass difference between the ${\tilde{\chi}^\pm _{1}}$ and the ${\tilde{\chi}^{0}_{1}}$ is taken to be 5 GeV.

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Additional Figure 15:
The expected significances for the exclusion limits at 95% CL for direct $ {\tilde{\mathrm {t}}} $ production with $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {{\mathrm {b}}} {\tilde{\chi}^\pm _{1}} {\tilde{\chi}^{0}_{1}} \left ({\tilde{\chi}^\pm _{1}} \to {\mathrm {W}}^{*} {\tilde{\chi}^{0}_{1}} \right)$ decay scenario. The mass difference between the ${\tilde{\chi}^\pm _{1}}$ and the ${\tilde{\chi}^{0}_{1}}$ is taken to be 5 GeV.

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Additional Figure 16:
Correlation matrix for the background predictions for the signal regions for the standard selection (in percent). The labeling of the regions follows the convention of Fig. 5 in the paper.

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Additional Figure 17:
Covariance matrices for the background predictions for the signal regions for the dedicated selection for low $\Delta (m_{{\tilde{\mathrm {t}}}}, m_{{\tilde{\chi}^{0}_{1}}})$ for $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {\overline {\mathrm {t}}} {\tilde{\chi}^{0}_{1}} {\tilde{\chi}^{0}_{1}} $ signals (in percent). The labeling of the regions follows the convention of Fig. 5 in the paper.

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Additional Figure 18:
Covariance matrix for the background predictions for the signal regions for the standard selection. The labeling of the regions follows the convention of Fig. 5 in the paper.

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Additional Figure 19:
Covariance matrices for the background predictions for the signal regions for the dedicated selection for low $\Delta (m_{{\tilde{\mathrm {t}}}}, m_{{\tilde{\chi}^{0}_{1}}})$ for $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {\overline {\mathrm {t}}} {\tilde{\chi}^{0}_{1}} {\tilde{\chi}^{0}_{1}} $ signals. The labeling of the regions follows the convention of Fig. 5 in the paper.
Additional Tables

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Additional Table 1:
Cutflow using the standard selection for $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {\overline {\mathrm {t}}} {\tilde{\chi}^{0}_{1}} {\tilde{\chi}^{0}_{1}} $ signals for an integrated luminosity of 137 fb$^{-1}$. The uncertainties are purely statistical. No correction for signal contamination in data control regions are applied.

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Additional Table 2:
Cutflow using the dedicated selection for low $\Delta (m_{{\tilde{\mathrm {t}}}}, m_{{\tilde{\chi}^{0}_{1}}})$ for $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {\overline {\mathrm {t}}} {\tilde{\chi}^{0}_{1}} {\tilde{\chi}^{0}_{1}} $ signals for an integrated luminosity of 137 fb$^{-1}$. The uncertainties are purely statistical. No correction for signal contamination in data control regions are applied.

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Additional Table 3:
Cutflow for $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {b}} {\overline {\mathrm {b}}} {\tilde{\chi}^\pm _{1}} {\tilde{\chi}^\pm _{1}} \left ({\tilde{\chi}^\pm _{1}} \to {\mathrm {W}} {\tilde{\chi}^{0}_{1}} \right)$ signals for an integrated luminosity of 137 fb$^{-1}$. The uncertainties are purely statistical. No correction for signal contamination in data control regions are applied.

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Additional Table 4:
Cutflow for $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {{\mathrm {b}}} {\tilde{\chi}^\pm _{1}} {\tilde{\chi}^{0}_{1}} \left ({\tilde{\chi}^\pm _{1}} \to {\mathrm {W}}^{*} {\tilde{\chi}^{0}_{1}} \right)$ signals for an integrated luminosity of 137 fb$^{-1}$. The uncertainties are purely statistical. No correction for signal contamination in data control regions are applied.

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Additional Table 5:
Yields for $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {\overline {\mathrm {t}}} {\tilde{\chi}^{0}_{1}} {\tilde{\chi}^{0}_{1}} $ signals for an integrated luminosity of 137 fb$^{-1}$. The uncertainties are purely statistical. No correction for signal contamination in data control regions are applied.

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Additional Table 6:
Yields for $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {\overline {\mathrm {t}}} {\tilde{\chi}^{0}_{1}} {\tilde{\chi}^{0}_{1}} $ signals under the dedicated compressed mass spectrum selection for an integrated luminosity of 137 fb$^{-1}$. The uncertainties are purely statistical. No correction for signal contamination in data control regions are applied.

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Additional Table 7:
Yields for $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {b}} {\overline {\mathrm {b}}} {\tilde{\chi}^\pm _{1}} {\tilde{\chi}^\pm _{1}} \left ({\tilde{\chi}^\pm _{1}} \to {\mathrm {W}} {\tilde{\chi}^{0}_{1}} \right)$ signals for an integrated luminosity of 137 fb$^{-1}$. The uncertainties are purely statistical. No correction for signal contamination in data control regions are applied.

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Additional Table 8:
Yields for $ {\mathrm {p}} {\mathrm {p}}\to {\tilde{\mathrm {t}}} {\overline {\tilde{\mathrm {t}}}} \to {\mathrm {t}} {{\mathrm {b}}} {\tilde{\chi}^\pm _{1}} {\tilde{\chi}^{0}_{1}} \left ({\tilde{\chi}^\pm _{1}} \to {\mathrm {W}}^{*} {\tilde{\chi}^{0}_{1}} \right)$ signals for an integrated luminosity of 137 fb$^{-1}$. The uncertainties are purely statistical. No correction for signal contamination in data control regions are applied.
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