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CMS-PAS-SUS-19-009
Search for direct top squark pair production in events with one lepton, jets and missing transverse energy at 13 TeV
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 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. For models with top squark masses of 1 TeV, neutralino masses up to 600 GeV are excluded.
Figures & Tables Summary 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 each $\tilde{\mathrm{t}}$ 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 to $\mathrm{t} \tilde{\chi}^0_1$ and to $\mathrm{b} \tilde{\chi}^{+}_1$. For the latter decay, the $\tilde{\chi}^{+}_1$ decays further into a $\mathrm{W}^{+}$ boson and a $\tilde{\chi}^0_1$.

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Figure 1-c:
Diagram for top squark pair production, with each $\tilde{\mathrm{t}}$ 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:
Distributions of ${E_{\mathrm {T}}^{\text {miss}}}$ (top left) and ${N_{\mathrm {J}}}$ (top right) are shown after applying the preselection requirements in Table 1, including the requirement on the variable shown. Distributions of $ {M_{\mathrm {T}}}$ (bottom left) and ${\text{min}\Delta \phi (j_{1,2}, {\vec{E}_{\mathrm {T}}^{\text {miss}}})}$ (bottom right) are shown after applying the preselection requirements, excluding the requirement on the variable shown. The stacked histograms showing the SM background contributions are from simulation. Distribution of observed events are shown as points with errors bars corresponding to the statistical uncertainty. The last bin in each distribution includes the overflow events. The expectations for three signal hypotheses are overlaid. The corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively.

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Figure 2-a:
The distribution of ${E_{\mathrm {T}}^{\text {miss}}}$ is shown after applying the preselection requirements in Table 1, including the requirement on the variable shown. The stacked histograms showing the SM background contributions are from simulation. Distribution of observed events are shown as points with errors bars corresponding to the statistical uncertainty. The last bin in the distribution includes the overflow events. The expectations for three signal hypotheses are overlaid. The corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively.

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Figure 2-b:
The distribution of ${N_{\mathrm {J}}}$ is shown after applying the preselection requirements in Table 1, including the requirement on the variable shown. The stacked histograms showing the SM background contributions are from simulation. Distribution of observed events are shown as points with errors bars corresponding to the statistical uncertainty. The last bin in the distribution includes the overflow events. The expectations for three signal hypotheses are overlaid. The corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively.

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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. The stacked histograms showing the SM background contributions are from simulation. Distribution of observed events are shown as points with errors bars corresponding to the statistical uncertainty. The last bin in the distribution includes the overflow events. The expectations for three signal hypotheses are overlaid. The corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively.

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Figure 2-d:
The distribution of ${\text{min}\Delta \phi (j_{1,2}, {\vec{E}_{\mathrm {T}}^{\text {miss}}})}$ is shown after applying the preselection requirements, excluding the requirement on the variable shown. The stacked histograms showing the SM background contributions are from simulation. Distribution of observed events are shown as points with errors bars corresponding to the statistical uncertainty. The last bin in the distribution includes the overflow events. The expectations for three signal hypotheses are overlaid. The corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively.

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Figure 3:
Distributions of ${t_{\mathrm {mod}}}$ (top left), ${M_{\ell \mathrm{b}}}$ (top right), the merged top tagging discriminant (bottom left), and the resolved top tagging discriminant (bottom right) are shown after the preselection requirements. The stacked histograms showing the SM background contributions are from the simulation. Distribution of observed events are shown as points with errors bars corresponding to the statistical uncertainty. Events outside the range of the distributions shown are included in the first or last bins. The expectations for three signal hypotheses are overlaid. The corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively.

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Figure 3-a:
Distribution of ${t_{\mathrm {mod}}}$ is shown after the preselection requirements. The stacked histograms showing the SM background contributions are from the simulation. Distribution of observed events are shown as points with errors bars corresponding to the statistical uncertainty. Events outside the range of the distribution are included in the first or last bins. The expectations for three signal hypotheses are overlaid. The corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively.

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Figure 3-b:
Distribution of ${M_{\ell \mathrm{b}}}$ is shown after the preselection requirements. The stacked histograms showing the SM background contributions are from the simulation. Distribution of observed events are shown as points with errors bars corresponding to the statistical uncertainty. Events outside the range of the distribution are included in the first or last bins. The expectations for three signal hypotheses are overlaid. The corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively.

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Figure 3-c:
Distribution of the merged top tagging discriminant is shown after the preselection requirements. The stacked histograms showing the SM background contributions are from the simulation. Distribution of observed events are shown as points with errors bars corresponding to the statistical uncertainty. Events outside the range of the distribution are included in the first or last bins. The expectations for three signal hypotheses are overlaid. The corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively.

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Figure 3-d:
Distribution of the resolved top tagging discriminant is shown after the preselection requirements. The stacked histograms showing the SM background contributions are from the simulation. Distribution of observed events are shown as points with errors bars corresponding to the statistical uncertainty. Events outside the range of the distribution are included in the first or last bins. The expectations for three signal hypotheses are overlaid. The corresponding numbers in parentheses in the legends refer to the masses of the top squark and neutralino, respectively.

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Figure 4:
Distributions of kinematic variables in the control samples used for the background estimation. 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 ${E_{\mathrm {T}}^{\text {miss}}}$ in the dilepton control sample. Right: Distribution of ${M_{\ell \mathrm{b}}}$ in the 0b control sample. See text for details.

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Figure 4-a:
Distribution of ${E_{\mathrm {T}}^{\text {miss}}}$ in the dilepton control sample. The distribution for data is 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 distributio also includes the overflow.

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Figure 4-b:
Distribution of ${M_{\ell \mathrm{b}}}$ in the 0b control sample. The distribution for data is 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 5:
The observed and expected yields in Tables 7 and 8 and their ratios are shown as stacked histograms. 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}} \tilde{\bar{\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 the 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, dashed red curves show the one standard deviation uncertainties in the expected exclusion. The thin black lines similarly show the effect of the theory uncertainties in the signal cross section.

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Figure 7:
Exclusion limits at 95% CL for the ${\mathrm{p}} {\mathrm{p}} \to \tilde{\mathrm{t}} \tilde{\bar{\mathrm{t}}} \to \mathrm{b} \mathrm{\bar{b}} \tilde{\chi}^{\pm}_1 \tilde{\chi}^{\pm}_1 \left (\tilde{\chi}^{\pm}_1 \to \mathrm{W} \tilde{\chi}^0_1 \right)$ 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 the 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, dashed red curves show the one standard deviation uncertainties in the expected exclusion. The thin black lines similarly show the effect of the theory uncertainties in the signal cross section.

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Figure 8:
Exclusion limits at 95% CL for the ${\mathrm{p}} {\mathrm{p}} \to \tilde{\mathrm{t}} \tilde{\bar{\mathrm{t}}} \to \mathrm{t} \mathrm{b} \tilde{\chi}^{\pm}_1 \tilde{\chi}^0_1 \left (\tilde{\chi}^{\pm}_1 \to \mathrm{W} ^{*}\tilde{\chi}^0_1 \right)$ 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 the 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, dashed red curves show the one standard deviation uncertainties in the expected exclusion. The thin black lines similarly show the effect of the theory uncertainties in the signal cross section.
Tables

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Table 1:
Summary of the event preselection requirements. The magnitude of the vector sum of the transverse momenta of all jets and leptons in the event is denoted ${H_{\mathrm {T}}^{\text {miss}}}$. The symbols $ {p_{\mathrm {T}}} ^{\ell}$ and $\eta ^{\ell}$ correspond to the transverse momentum and pseudorapidity of the lepton, and $ {p_{\mathrm {T}}} ^{\mathrm {sum}}$ is the scalar sum of the transverse momenta of all PF candidates in a cone around the lepton, excluding the lepton 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. At least one b-tagged jet selected using the medium (tight) WP is required for search regions with $ {M_{\ell \mathrm{b}}} < $ 175 GeV ($ {M_{\ell \mathrm{b}}} \geq $ 175 GeV). For the top 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 search regions targeting signal scenarios with a compressed mass spectrum. Search regions for $\Delta m\left (\tilde{\mathrm{t}},\tilde{\chi}^0_1 \right)\sim m_{\mathrm{t}}$ ($\Delta m\left (\tilde{\mathrm{t}},\tilde{\chi}^0_1 \right)\sim m_{\mathrm{W}}$) scenarios are labeled with the letter I (J). The symbol $ {p_{\mathrm {T}}} ^{\ell}$ denotes the transverse momentum of the lepton.

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

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Table 5:
Search regions where the corresponding 0b control regions are combined when estimating the $ {\mathrm{W} +\text {jets}} $ background.

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Table 6:
Summary of systematic uncertainties. The range of values reflect their impact on the estimated backgrounds and signal yields in different signal regions.

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Table 7:
The observed and expected yields in the standard search regions. For the top 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 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 predicted standard model background processes. Exclusions are set in the context of simplified top quark pair production models. Depending on the model, exclusion limits at 95% CL for $\tilde{\mathrm{t}}$ masses up to 1.2 TeV are set for a massless $\tilde{\chi}^0_1$. For models with a $\tilde{\mathrm{t}}$ mass of 1 TeV, $\tilde{\chi}^0_1$ masses up to 600 GeV are excluded.
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