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CMS-PAS-SUS-23-003
General search for supersymmetric particles in scenarios with compressed mass spectra using proton-proton collisions at $ \sqrt{s}= $ 13 TeV
Abstract: A general search is presented for supersymmetric particles (sparticles) in scenarios featuring compressed mass spectra using proton-proton collisions at a center-of-mass energy of 13 TeV with the CMS detector at the LHC. The analyzed data sample corresponds to an integrated luminosity of 138 fb$ ^{-1} $. A wide range of potential sparticle signatures are targeted including pair production of electroweakinos, sleptons, and top squarks. The search is focused on events with a high transverse momentum system from initial-state-radiation jets recoiling against a potential sparticle system with significant missing transverse momentum. Events are categorized based on their lepton multiplicity, jet multiplicity, b tags, and kinematic variables sensitive to the sparticle masses and mass splittings. The sensitivity extends to higher parent sparticle masses than previously probed at the LHC for production of pairs of electroweakinos, sleptons, and top squarks for compressed mass spectra. The observed results demonstrate agreement with the predictions of the background-only model. Lower mass limits are set at 95% confidence level on production of pairs of electroweakinos, sleptons, and top squarks that extend to 300, 275, and 760 GeV, respectively, for the most favorable compressed mass regime cases.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Diagrams for top squark pair production. The left panel shows the T2tt model with decay via top quarks and the right panel shows the T2bW model with decay via an intermediate mass chargino.

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Figure 1-a:
Diagrams for top squark pair production. The left panel shows the T2tt model with decay via top quarks and the right panel shows the T2bW model with decay via an intermediate mass chargino.

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Figure 1-b:
Diagrams for top squark pair production. The left panel shows the T2tt model with decay via top quarks and the right panel shows the T2bW model with decay via an intermediate mass chargino.

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Figure 2:
Diagrams for associated-production of electroweakinos ($ \tilde{\chi}_{1}^{\pm} \tilde{\chi}_{2}^{0} $) in the TChiWZ model (left panel) and for pair production of charged sleptons in the TSlepSlep model (right panel).

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Figure 2-a:
Diagrams for associated-production of electroweakinos ($ \tilde{\chi}_{1}^{\pm} \tilde{\chi}_{2}^{0} $) in the TChiWZ model (left panel) and for pair production of charged sleptons in the TSlepSlep model (right panel).

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Figure 2-b:
Diagrams for associated-production of electroweakinos ($ \tilde{\chi}_{1}^{\pm} \tilde{\chi}_{2}^{0} $) in the TChiWZ model (left panel) and for pair production of charged sleptons in the TSlepSlep model (right panel).

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Figure 3:
Efficiencies of the gold, silver, and bronze categories for prompt leptons (solid circles) and misidentified leptons (open squares) relative to the qualification criteria in $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ events. Electrons (muons) are shown in the left (right) panel. The three categories are mutually exclusive and so the three category sum accounts for all lepton candidates in each $ p_{\mathrm{T}} $ bin.

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Figure 3-a:
Efficiencies of the gold, silver, and bronze categories for prompt leptons (solid circles) and misidentified leptons (open squares) relative to the qualification criteria in $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ events. Electrons (muons) are shown in the left (right) panel. The three categories are mutually exclusive and so the three category sum accounts for all lepton candidates in each $ p_{\mathrm{T}} $ bin.

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Figure 3-b:
Efficiencies of the gold, silver, and bronze categories for prompt leptons (solid circles) and misidentified leptons (open squares) relative to the qualification criteria in $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ events. Electrons (muons) are shown in the left (right) panel. The three categories are mutually exclusive and so the three category sum accounts for all lepton candidates in each $ p_{\mathrm{T}} $ bin.

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Figure 4:
Distributions of the b, c, and light quark tagging efficiencies, as a function of the SV candidate $ p_{\mathrm{T}} $, for the chosen working point. The SV flavor identities are determined from the simulated generator flavor information and $ \Delta R $ matching to SV candidates.

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Figure 5:
Decay tree diagram used to analyze events. S represents the total system of putative sparticles, with P$ _{a/b} $ representing pair-produced SUSY parent particles. I$ _{a/b} $ and V$ _{a/b} $ represent the systems of invisible and visible sparticle decay products, respectively. The S system, along with the recoiling ISR system, are viewed as decay products of the entire center-of-mass (CM) system of the colliding partons with constituent center-of-mass energy, $ \sqrt{\hat{s}} $.

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Figure 6:
Distributions of $ R_{\rm ISR} $ for simulated events in the 2 lepton final state for TChiWZ signal models with 250 GeV parent mass and various LSP masses ranging from 160-245 GeV (left panel) and standard model backgrounds (right panel).

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Figure 6-a:
Distributions of $ R_{\rm ISR} $ for simulated events in the 2 lepton final state for TChiWZ signal models with 250 GeV parent mass and various LSP masses ranging from 160-245 GeV (left panel) and standard model backgrounds (right panel).

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Figure 6-b:
Distributions of $ R_{\rm ISR} $ for simulated events in the 2 lepton final state for TChiWZ signal models with 250 GeV parent mass and various LSP masses ranging from 160-245 GeV (left panel) and standard model backgrounds (right panel).

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Figure 7:
Distributions of $ p_{\rm T}^{\rm ISR} $ vs. $ R_{\rm ISR} $ in events with 0 leptons for simulated top squark signals in the T2tt model with parent mass of 500 GeV and a LSP mass of 400 GeV (left panel), LSP mass of 480 GeV (center panel), and $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background (right panel).

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Figure 7-a:
Distributions of $ p_{\rm T}^{\rm ISR} $ vs. $ R_{\rm ISR} $ in events with 0 leptons for simulated top squark signals in the T2tt model with parent mass of 500 GeV and a LSP mass of 400 GeV (left panel), LSP mass of 480 GeV (center panel), and $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background (right panel).

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Figure 7-b:
Distributions of $ p_{\rm T}^{\rm ISR} $ vs. $ R_{\rm ISR} $ in events with 0 leptons for simulated top squark signals in the T2tt model with parent mass of 500 GeV and a LSP mass of 400 GeV (left panel), LSP mass of 480 GeV (center panel), and $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background (right panel).

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Figure 7-c:
Distributions of $ p_{\rm T}^{\rm ISR} $ vs. $ R_{\rm ISR} $ in events with 0 leptons for simulated top squark signals in the T2tt model with parent mass of 500 GeV and a LSP mass of 400 GeV (left panel), LSP mass of 480 GeV (center panel), and $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background (right panel).

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Figure 8:
Distributions of $ M_{\perp} $ in 1L final states for simulated events: compressed T2tt signal events with a parent top squark mass of 500 GeV and LSP masses ranging from 325-480 GeV (left panel) and standard model backgrounds (right panel).

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Figure 8-a:
Distributions of $ M_{\perp} $ in 1L final states for simulated events: compressed T2tt signal events with a parent top squark mass of 500 GeV and LSP masses ranging from 325-480 GeV (left panel) and standard model backgrounds (right panel).

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Figure 8-b:
Distributions of $ M_{\perp} $ in 1L final states for simulated events: compressed T2tt signal events with a parent top squark mass of 500 GeV and LSP masses ranging from 325-480 GeV (left panel) and standard model backgrounds (right panel).

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Figure 9:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ from simulated events in multiple final states. (Top row) $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background events in 0L, 1L, and 2L final states. (Middle row) T2tt signals and (bottom row) TChiWZ signals for various sparticle mass combinations.

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Figure 9-a:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ from simulated events in multiple final states. (Top row) $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background events in 0L, 1L, and 2L final states. (Middle row) T2tt signals and (bottom row) TChiWZ signals for various sparticle mass combinations.

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Figure 9-b:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ from simulated events in multiple final states. (Top row) $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background events in 0L, 1L, and 2L final states. (Middle row) T2tt signals and (bottom row) TChiWZ signals for various sparticle mass combinations.

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Figure 9-c:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ from simulated events in multiple final states. (Top row) $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background events in 0L, 1L, and 2L final states. (Middle row) T2tt signals and (bottom row) TChiWZ signals for various sparticle mass combinations.

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Figure 9-d:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ from simulated events in multiple final states. (Top row) $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background events in 0L, 1L, and 2L final states. (Middle row) T2tt signals and (bottom row) TChiWZ signals for various sparticle mass combinations.

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Figure 9-e:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ from simulated events in multiple final states. (Top row) $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background events in 0L, 1L, and 2L final states. (Middle row) T2tt signals and (bottom row) TChiWZ signals for various sparticle mass combinations.

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Figure 9-f:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ from simulated events in multiple final states. (Top row) $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background events in 0L, 1L, and 2L final states. (Middle row) T2tt signals and (bottom row) TChiWZ signals for various sparticle mass combinations.

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Figure 9-g:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ from simulated events in multiple final states. (Top row) $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background events in 0L, 1L, and 2L final states. (Middle row) T2tt signals and (bottom row) TChiWZ signals for various sparticle mass combinations.

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Figure 9-h:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ from simulated events in multiple final states. (Top row) $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background events in 0L, 1L, and 2L final states. (Middle row) T2tt signals and (bottom row) TChiWZ signals for various sparticle mass combinations.

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Figure 9-i:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ from simulated events in multiple final states. (Top row) $ {\mathrm{t}\overline{\mathrm{t}}}+\mathrm{jets} $ background events in 0L, 1L, and 2L final states. (Middle row) T2tt signals and (bottom row) TChiWZ signals for various sparticle mass combinations.

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Figure 10:
Distributions of $ \eta_{\rm SV}^{\rm S} $ in 0L final states for simulated standard model background events (left panel) and various top squark signal models (right panel).

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Figure 10-a:
Distributions of $ \eta_{\rm SV}^{\rm S} $ in 0L final states for simulated standard model background events (left panel) and various top squark signal models (right panel).

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Figure 10-b:
Distributions of $ \eta_{\rm SV}^{\rm S} $ in 0L final states for simulated standard model background events (left panel) and various top squark signal models (right panel).

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Figure 11:
Distributions of $ R_{\rm ISR} $ vs. $ M_{\perp} $ for a TChiWZ signal sample with a parent mass of 300 GeV and a LSP mass of 290 GeV (left panel) and the corresponding total SM background (right panel) for the 2L, 0 S-jet category. The red lines show the bin edges for this particular jet multiplicity.

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Figure 12:
Post-fit distributions of data with the background-only fit model for the complete Run II data set in the 0L region (top panel) and 1L region (bottom panel). Bins are split by $ R_{\rm ISR} $ along with $ N_{\rm jet}^{\rm S} $. Yields are integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty.

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Figure 12-a:
Post-fit distributions of data with the background-only fit model for the complete Run II data set in the 0L region (top panel) and 1L region (bottom panel). Bins are split by $ R_{\rm ISR} $ along with $ N_{\rm jet}^{\rm S} $. Yields are integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty.

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Figure 12-b:
Post-fit distributions of data with the background-only fit model for the complete Run II data set in the 0L region (top panel) and 1L region (bottom panel). Bins are split by $ R_{\rm ISR} $ along with $ N_{\rm jet}^{\rm S} $. Yields are integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty.

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Figure 13:
Post-fit distributions of data with the background-only fit model for the complete Run II data set in the 2L region (top panel) and 3L region (bottom panel). Bins are split by $ R_{\rm ISR} $ along with lepton categorization. Yields are integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty.

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Figure 13-a:
Post-fit distributions of data with the background-only fit model for the complete Run II data set in the 2L region (top panel) and 3L region (bottom panel). Bins are split by $ R_{\rm ISR} $ along with lepton categorization. Yields are integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty.

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Figure 13-b:
Post-fit distributions of data with the background-only fit model for the complete Run II data set in the 2L region (top panel) and 3L region (bottom panel). Bins are split by $ R_{\rm ISR} $ along with lepton categorization. Yields are integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty.

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Figure 14:
Post-fit distributions of data with the background-only fit model for the complete Run II data set. (Top) 0L and 1L gold regions with larger jet multiplicities. (Bottom) 0L 5J regions separated by $ b $-tagged jet multiplicities in the S and ISR systems. Bins are split by $ R_{\rm ISR} $ with yields integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty. Expected yields for relevant signal models are superimposed.

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Figure 14-a:
Post-fit distributions of data with the background-only fit model for the complete Run II data set. (Top) 0L and 1L gold regions with larger jet multiplicities. (Bottom) 0L 5J regions separated by $ b $-tagged jet multiplicities in the S and ISR systems. Bins are split by $ R_{\rm ISR} $ with yields integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty. Expected yields for relevant signal models are superimposed.

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Figure 14-b:
Post-fit distributions of data with the background-only fit model for the complete Run II data set. (Top) 0L and 1L gold regions with larger jet multiplicities. (Bottom) 0L 5J regions separated by $ b $-tagged jet multiplicities in the S and ISR systems. Bins are split by $ R_{\rm ISR} $ with yields integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty. Expected yields for relevant signal models are superimposed.

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Figure 15:
Post-fit distributions of data with the background-only model for the complete Run II data set. (Top) 2L 0J gold regions separated by lepton flavor and charge. (Bottom) Central b-tagged SV regions in 0L, 1L, and 2L final states. Bins are split by $ R_{\rm ISR} $ with yields integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty. Expected yields for relevant signal models are superimposed.

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Figure 15-a:
Post-fit distributions of data with the background-only model for the complete Run II data set. (Top) 2L 0J gold regions separated by lepton flavor and charge. (Bottom) Central b-tagged SV regions in 0L, 1L, and 2L final states. Bins are split by $ R_{\rm ISR} $ with yields integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty. Expected yields for relevant signal models are superimposed.

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Figure 15-b:
Post-fit distributions of data with the background-only model for the complete Run II data set. (Top) 2L 0J gold regions separated by lepton flavor and charge. (Bottom) Central b-tagged SV regions in 0L, 1L, and 2L final states. Bins are split by $ R_{\rm ISR} $ with yields integrated over all other sub-categorizations and $ M_{\perp} $. The sub-panels below the panels show the data minus fit model scaled by the post-fit model uncertainty. Expected yields for relevant signal models are superimposed.

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Figure 16:
Observed upper limits at 95% CL on the product of the cross section and branching fraction squared, $ \sigma (\tilde{\mathrm{t}} \tilde{\mathrm{t}}) \, \mathcal{B}^{2} ( \tilde{\mathrm{t}} \to \mathrm{t} \tilde{\chi}_{1}^{0} ) $, are shown using the color scale where the $ \tilde{\mathrm{t}} $ mass is on the $ x $-axis and the mass difference between the $ \tilde{\mathrm{t}} $ and the LSP is on the $ y $-axis. The expected lower mass limits (magenta line) together with their $ \pm 1\sigma $ uncertainties (magenta dashed lines) and the observed lower mass limits (black line) are indicated for 100% branching fractions.

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Figure 17:
Observed upper limits at 95% CL on the product of the cross section and the two branching fractions, $ \sigma (\tilde{\chi}_{1}^{\pm} \tilde{\chi}_{2}^{0}) \, \mathcal{B} ( \tilde{\chi}_{1}^{\pm} \to \mathrm{W}^{\pm} \tilde{\chi}_{1}^{0} ) \, \mathcal{B} ( \tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0} ) $, are shown using the color scale where the $ \tilde{\chi}_{1}^{\pm}/\tilde{\chi}_{2}^{0} $ mass is on the $ x $-axis and the mass difference between the $ \tilde{\chi}_{1}^{\pm}/\tilde{\chi}_{2}^{0} $ and the LSP is on the $ y $-axis. For these results, based on the TChiWZ simplified model, the $ \tilde{\chi}_{1}^{\pm} $ and $ \tilde{\chi}_{2}^{0} $ masses are set equal. The expected lower mass limits (magenta line) together with their $ \pm 1\sigma $ uncertainties (magenta dashed lines) and the observed lower mass limits (black line) are indicated for 100% branching fractions for Wino-like cross-sections (left panel) and for Higgsino-like cross-sections (right panel).

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Figure 17-a:
Observed upper limits at 95% CL on the product of the cross section and the two branching fractions, $ \sigma (\tilde{\chi}_{1}^{\pm} \tilde{\chi}_{2}^{0}) \, \mathcal{B} ( \tilde{\chi}_{1}^{\pm} \to \mathrm{W}^{\pm} \tilde{\chi}_{1}^{0} ) \, \mathcal{B} ( \tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0} ) $, are shown using the color scale where the $ \tilde{\chi}_{1}^{\pm}/\tilde{\chi}_{2}^{0} $ mass is on the $ x $-axis and the mass difference between the $ \tilde{\chi}_{1}^{\pm}/\tilde{\chi}_{2}^{0} $ and the LSP is on the $ y $-axis. For these results, based on the TChiWZ simplified model, the $ \tilde{\chi}_{1}^{\pm} $ and $ \tilde{\chi}_{2}^{0} $ masses are set equal. The expected lower mass limits (magenta line) together with their $ \pm 1\sigma $ uncertainties (magenta dashed lines) and the observed lower mass limits (black line) are indicated for 100% branching fractions for Wino-like cross-sections (left panel) and for Higgsino-like cross-sections (right panel).

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Figure 17-b:
Observed upper limits at 95% CL on the product of the cross section and the two branching fractions, $ \sigma (\tilde{\chi}_{1}^{\pm} \tilde{\chi}_{2}^{0}) \, \mathcal{B} ( \tilde{\chi}_{1}^{\pm} \to \mathrm{W}^{\pm} \tilde{\chi}_{1}^{0} ) \, \mathcal{B} ( \tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0} ) $, are shown using the color scale where the $ \tilde{\chi}_{1}^{\pm}/\tilde{\chi}_{2}^{0} $ mass is on the $ x $-axis and the mass difference between the $ \tilde{\chi}_{1}^{\pm}/\tilde{\chi}_{2}^{0} $ and the LSP is on the $ y $-axis. For these results, based on the TChiWZ simplified model, the $ \tilde{\chi}_{1}^{\pm} $ and $ \tilde{\chi}_{2}^{0} $ masses are set equal. The expected lower mass limits (magenta line) together with their $ \pm 1\sigma $ uncertainties (magenta dashed lines) and the observed lower mass limits (black line) are indicated for 100% branching fractions for Wino-like cross-sections (left panel) and for Higgsino-like cross-sections (right panel).

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Figure 18:
Observed 95% CL upper limits on the product of the cross section and branching fraction squared for direct slepton pair production followed by decay of both sleptons to the corresponding lepton and neutralino (color scale). Slepton $ \tilde{l}_{\mathrm{L}/\mathrm{R}} $ indicates the scalar supersymmetric partner of left- and right-handed electrons and muons. The limit is shown as a function of the slepton mass and the mass difference between the slepton and the lightest neutralino. The regions to the left of the lines denote the regions excluded for a branching fraction of 100%. The median expected exclusion regions for 100% branching fraction are delimited by the dashed lines.

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Figure 19:
Observed 95% CL upper limits on the cross section times branching fraction squared for direct selectron pair production (left) and smuon pair production (right) followed by decay of both sleptons to the corresponding lepton and neutralino (color scale). The limits are shown as a function of the slepton mass and the mass difference between the slepton and the lightest neutralino for the three different simplified possibilities of only RR, only LL, and both RR and LL where it is assumed that the R and L masses are identical. The regions to the left of the lines denote the regions excluded for a branching fraction of 100%. Median expected limits for 100% branching fraction are delimited by the dashed lines.

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Figure 19-a:
Observed 95% CL upper limits on the cross section times branching fraction squared for direct selectron pair production (left) and smuon pair production (right) followed by decay of both sleptons to the corresponding lepton and neutralino (color scale). The limits are shown as a function of the slepton mass and the mass difference between the slepton and the lightest neutralino for the three different simplified possibilities of only RR, only LL, and both RR and LL where it is assumed that the R and L masses are identical. The regions to the left of the lines denote the regions excluded for a branching fraction of 100%. Median expected limits for 100% branching fraction are delimited by the dashed lines.

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Figure 19-b:
Observed 95% CL upper limits on the cross section times branching fraction squared for direct selectron pair production (left) and smuon pair production (right) followed by decay of both sleptons to the corresponding lepton and neutralino (color scale). The limits are shown as a function of the slepton mass and the mass difference between the slepton and the lightest neutralino for the three different simplified possibilities of only RR, only LL, and both RR and LL where it is assumed that the R and L masses are identical. The regions to the left of the lines denote the regions excluded for a branching fraction of 100%. Median expected limits for 100% branching fraction are delimited by the dashed lines.

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Figure 20:
Observed and median expected limits for direct slepton pair-production at 95% CL. Slepton $ \tilde{l}_{\mathrm{L}/\mathrm{R}} $ indicates the scalar supersymmetric partner of left- and right-handed electrons and muons. The limit is shown as a function of the slepton mass and the mass difference between the slepton and the lightest neutralino. The corresponding selectron only and smuon only results of Fig. 19 are shown too assuming a 100% branching fraction.

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Figure 21:
Observed 95% CL exclusion regions for direct left-handed slepton pair production (left panel) and direct right-handed slepton pair production (right panel) followed by decay of both sleptons to the corresponding lepton and neutralino with 100% branching fraction. The limits are shown as a function of the slepton mass and the mass difference between the slepton and the lightest neutralino. The regions to the left of the lines denote the excluded regions. Median expected limits are displayed with dashed lines.

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Figure 21-a:
Observed 95% CL exclusion regions for direct left-handed slepton pair production (left panel) and direct right-handed slepton pair production (right panel) followed by decay of both sleptons to the corresponding lepton and neutralino with 100% branching fraction. The limits are shown as a function of the slepton mass and the mass difference between the slepton and the lightest neutralino. The regions to the left of the lines denote the excluded regions. Median expected limits are displayed with dashed lines.

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Figure 21-b:
Observed 95% CL exclusion regions for direct left-handed slepton pair production (left panel) and direct right-handed slepton pair production (right panel) followed by decay of both sleptons to the corresponding lepton and neutralino with 100% branching fraction. The limits are shown as a function of the slepton mass and the mass difference between the slepton and the lightest neutralino. The regions to the left of the lines denote the excluded regions. Median expected limits are displayed with dashed lines.
Tables

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Table 1:
Category definitions for 0L regions for each $ N_{\rm jet}^{\rm S} $ multiplicity. The highest (5J) is inclusive ($ N_{\rm jet}^{\rm S} \geq $ 5). There are 84 exclusive categories in total for the 0L regions.

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Table 2:
$ R_{\rm ISR} $ and $ M_{\perp} $ bin definitions for 0L regions for each $ N_{\rm jet}^{\rm S} $ multiplicity. The highest (5J) is inclusive ($ N_{\rm jet}^{\rm S} \geq $ 5). The lower $ R_{\rm ISR} $ bins denoted as "CR" are used as control regions.

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Table 3:
Category definitions for 1L regions for each $ N_{\rm jet}^{\rm S} $ multiplicity. The highest (4J) is inclusive ($ N_{\rm jet}^{\rm S} \geq $ 4).

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Table 4:
$ R_{\rm ISR} $ and $ M_{\perp} $ bin definitions for 1L regions for each $ N_{\rm jet}^{\rm S} $ multiplicity. The highest (4J) is inclusive ($ N_{\rm jet}^{\rm S} \geq $ 4). The lower $ R_{\rm ISR} $ bins denoted as "CR" are used as control regions.

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Table 5:
Category definitions for 2L regions for each $ N_{\rm jet}^{\rm S} $ multiplicity. The highest (2J) is inclusive ($ N_{\rm jet}^{\rm S} \geq $ 2). There is a total of 115 exclusive 2L categories.

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Table 6:
$ R_{\rm ISR} $ and $ M_{\perp} $ bin definitions for 2L regions for each $ N_{\rm jet}^{\rm S} $ multiplicity. The highest (2J) is inclusive ($ N_{\rm jet}^{\rm S} \geq $ 2). The lower $ R_{\rm ISR} $ bins denoted as "CR" were used as control regions. The gold control region for the 2 S-jet bin indicated by the * goes to $ R_{\rm ISR} $ of 0.7 instead of 0.75. Two further CR bins were defined for the gold 0 S-jet category with 0.5 $ \leq R_{\rm ISR} < $ 0.6 with 0 $ \leq M_{\perp} < $ 50 and 50 $ \leq M_{\perp} < \infty $.

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Table 7:
Category definitions for the 3L regions for each $ N_{\rm jet}^{\rm S} $ multiplicity. The highest (1J) is inclusive ($ N_{\rm jet}^{\rm S} \geq $ 1). There is a total of 15 exclusive 3L categories.

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Table 8:
$ R_{\rm ISR} $ and $ M_{\perp} $ bin definitions for 3L regions for each $ N_{\rm jet}^{\rm S} $ multiplicity. The highest (1J) is inclusive ($ N_{\rm jet}^{\rm S} \geq $ 1). The lower $ R_{\rm ISR} $ bins denoted as "CR" were used as control regions. An additional control region with 0.5 $ \leq R_{\rm ISR} < $ 0.6 was also used with the 0 S-jet region.

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Table 9:
List of categories and $ M_{\perp} $/$ R_{\rm ISR} $ bins corresponding to each model-independent superbin.

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Table 10:
Summary of systematic uncertainties for the entire 3-year fit. The number of nuisance parameters is listed, with details as to how they are partitioned by data-taking period. The range of the parameter impact variation post-fit is given in the final column.

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Table 11:
Event counts observed in data, $ N_{\rm{obs}} $, in each of the model-independent bins, compared with predictions from the control region fit, $ N^{\rm{pred}}_{\rm{bkg}} $, their corresponding uncertainties, $ \sigma(N^{\rm{pred}}_{\rm{bkg}}) $, and the upper limits at 95% CL on the signal strength ($ S_{\rm UL}^{95%} $).
Summary
A general search has been presented for supersymmetric particles in proton-proton collisions at a center-of-mass energy of 13 TeV with the CMS detector at the LHC using a data sample corresponding to an integrated luminosity of 138 fb$ ^{-1} $. A wide range of potential sparticle signatures are targeted including production of pairs of electroweakinos, sleptons, and top squarks. The search is focused on events with a high transverse momentum system from initial-state-radiation jets recoiling against a potential sparticle system with significant missing transverse momentum. Events are categorized based on their lepton multiplicity, jet multiplicity, b tags, and kinematic variables sensitive to the sparticle masses and mass splittings. The sensitivity extends to higher parent sparticle masses than previously probed at the LHC for production of pairs of electroweakinos, sleptons, and top squarks for compressed mass spectra. The observed results demonstrate reasonable agreement with the predictions of the background-only model and competitive limits are set on pair production of supersymmetric particles especially in the compressed mass regime with electroweakino limits extending to 300 GeV, top squark limits extending to 760 GeV, and slepton limits extending to 275 GeV in the most favorable cases.
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Compact Muon Solenoid
LHC, CERN