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CMS-SUS-21-002 ; CERN-EP-2022-031
Search for electroweak production of charginos and neutralinos at $\sqrt{s} = $ 13 TeV in final states containing hadronic decays of WW, WZ, or WH and missing transverse momentum
Phys. Lett. B 842 (2023) 137460
Abstract: This Letter presents a search for direct production of charginos and neutralinos via electroweak interactions. The results are based on data from proton-proton collisions at a center-of-mass energy of 13 TeV collected with the CMS detector at the LHC, corresponding to an integrated luminosity of 137 fb$^{-1}$. The search considers final states with large missing transverse momentum and pairs of hadronically decaying bosons WW, WZ, and WH, where H is the Higgs boson. These bosons are identified using novel algorithms. No significant excess of events is observed relative to the expectations from the standard model. Limits at the 95% confidence level are placed on the cross section for production of mass-degenerate wino-like supersymmetric particles $\tilde{\chi}^{\pm}_1$ and $\tilde{\chi}^{0}_2$, and mass-degenerate higgsino-like supersymmetric particles $\tilde{\chi}^{\pm}_1$, $\tilde{\chi}^{0}_2$, and $\tilde{\chi}^{0}_3$. In the limit of a nearly-massless lightest supersymmetric particle $\tilde{\chi}^0_1$, wino-like particles with masses up to 870 and 960 GeV are excluded in the cases of $\tilde{\chi}^{0}_2\to\mathrm{Z}\tilde{\chi}^0_1$ and $\tilde{\chi}^{0}_2\to\mathrm{H}\tilde{\chi}^0_1$, respectively, and higgsino-like particles are excluded between 300 and 650 GeV.
Figures & Tables Summary Additional Figures & Tables References CMS Publications
Figures

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Figure 1:
Diagram for the production of $ \tilde\chi_1^\pm \tilde\chi_1^\mp $ with the $ \tilde\chi_1^\pm $ decaying to a W boson and $ \tilde\chi_1^0 $ (left). In the $ \tilde\chi_1^\pm\tilde\chi_2^0 $ production diagram (middle) the $ \tilde\chi_1^\pm $ decays to a W boson and the $ \tilde\chi_2^0 $ decays to either a Z boson or a Higgs boson and $ \tilde\chi_1^0 $. In the case of $ \tilde\chi_2^0\tilde\chi_3^0 $ prduction (right) the $ \tilde\chi_2^0 $ and $ \tilde\chi_3^0 $ decay to a Z boson and Higgs boson, respectively, along with a $ \tilde\chi_1^0 $ each.

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Figure 1-a:
Diagram for the production of $ \tilde\chi_1^\pm \tilde\chi_1^\mp $ with the $ \tilde\chi_1^\pm $ decaying to a W boson and $ \tilde\chi_1^0 $.

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Figure 1-b:
In the $ \tilde\chi_1^\pm\tilde\chi_2^0 $ production diagram the $ \tilde\chi_1^\pm $ decays to a W boson and the $ \tilde\chi_2^0 $ decays to either a Z boson or a Higgs boson and $ \tilde\chi_1^0 $.

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Figure 1-c:
In the case of $ \tilde\chi_2^0\tilde\chi_3^0 $ production the $ \tilde\chi_2^0 $ and $ \tilde\chi_3^0 $ decay to a Z boson and Higgs boson, respectively, along with a $ \tilde\chi_1^0 $ each.

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Figure 2:
Distributions of the jet mass for V-tagged AK8 jets in the b-veto SR (left) and ${\mathrm{b} \mathrm{\bar{b}}} $-tagged AK8 jets in the WH SR (right). The jet mass requirements for the V and ${\mathrm{b} \mathrm{\bar{b}}}$ taggers have been loosened in these figures. The filled histograms show the SM background simulation, scaled such that the yield within the SR matches the total SM background predictions. The open histograms show the sum of the scaled SM background simulations and of the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP in GeV. The observed event yields are indicated by black markers. The hatched gray bands correspond to the statistical uncertainties in the SM predictions, but no systematic uncertainties are included.

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Figure 2-a:
Distribution of the jet mass for V-tagged AK8 jets in the b-veto SR. The jet mass requirements have been loosened in the figure. The filled histograms show the SM background simulation, scaled such that the yield within the SR matches the total SM background predictions. The open histograms show the sum of the scaled SM background simulations and of the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP in GeV. The observed event yields are indicated by black markers. The hatched gray bands correspond to the statistical uncertainties in the SM predictions, but no systematic uncertainties are included.

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Figure 2-b:
Distribution of the jet mass for ${\mathrm{b} \mathrm{\bar{b}}} $-tagged AK8 jets in the WH SR. The jet mass requirements have been loosened in the figure. The filled histograms show the SM background simulation, scaled such that the yield within the SR matches the total SM background predictions. The open histograms show the sum of the scaled SM background simulations and of the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP in GeV. The observed event yields are indicated by black markers. The hatched gray bands correspond to the statistical uncertainties in the SM predictions, but no systematic uncertainties are included.

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Figure 3:
SM background prediction vs. observation in the b-veto SR (upper left), the WH SR (upper right), the W SR (lower left), and the H SR (lower right). The filled stacked histograms show the SM background predictions from the fit to the data in the CRs under the background-only hypothesis. The superimposed open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP in GeV. The observed event yields are indicated by black markers. The hatched gray band corresponds to the total uncertainty in the prediction.

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Figure 3-a:
SM background prediction vs. observation in the b-veto SR. The filled stacked histograms show the SM background predictions from the fit to the data in the CRs under the background-only hypothesis. The superimposed open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP in GeV. The observed event yields are indicated by black markers. The hatched gray band corresponds to the total uncertainty in the prediction.

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Figure 3-b:
SM background prediction vs. observation in the WH SR. The filled stacked histograms show the SM background predictions from the fit to the data in the CRs under the background-only hypothesis. The superimposed open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP in GeV. The observed event yields are indicated by black markers. The hatched gray band corresponds to the total uncertainty in the prediction.

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Figure 3-c:
SM background prediction vs. observation in the W SR. The filled stacked histograms show the SM background predictions from the fit to the data in the CRs under the background-only hypothesis. The superimposed open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP in GeV. The observed event yields are indicated by black markers. The hatched gray band corresponds to the total uncertainty in the prediction.

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Figure 3-d:
SM background prediction vs. observation in the H SR. The filled stacked histograms show the SM background predictions from the fit to the data in the CRs under the background-only hypothesis. The superimposed open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP in GeV. The observed event yields are indicated by black markers. The hatched gray band corresponds to the total uncertainty in the prediction.

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Figure 4:
The 95% CL upper limits on the production cross sections for ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{\mp}_1}$ assuming that each $\tilde{\chi}^{\pm}_1$ decays to a W boson and $\tilde{\chi}^0_1$ (upper left, the TChiWW model) and ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{0}_2}$ production assuming that the $\tilde{\chi}^{\pm}_1$ decays to a W boson and $\tilde{\chi}^0_1$ and that the $\tilde{\chi}^{0}_2$ decays to a Z boson and $\tilde{\chi}^0_1$ (upper right, the TChiWZ model) or that the $\tilde{\chi}^{0}_2$ decays to a Higgs boson and $\tilde{\chi}^0_1$ (lower, the TChiWH model). The black curves represent the observed exclusion contour and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma _{\text {theory}}$). The red curves indicate the mean expected exclusion contour and the region containing 68% ($ \pm $1$\sigma _{\text {experiment}}$) of the expected exclusion limits under the background-only hypothesis. The mass exclusion limits are computed assuming wino-like cross sections.

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Figure 4-a:
The 95% CL upper limits on the production cross sections for ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{\mp}_1}$ assuming that each $\tilde{\chi}^{\pm}_1$ decays to a W boson and $\tilde{\chi}^0_1$ (TChiWW model). The black curves represent the observed exclusion contour and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma _{\text {theory}}$). The red curves indicate the mean expected exclusion contour and the region containing 68% ($ \pm $1$\sigma _{\text {experiment}}$) of the expected exclusion limits under the background-only hypothesis. The mass exclusion limits are computed assuming wino-like cross sections.

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Figure 4-b:
The 95% CL upper limits on the production cross sections for ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{0}_2}$ assuming that the $\tilde{\chi}^{\pm}_1$ decays to a W boson and $\tilde{\chi}^0_1$ and that the $\tilde{\chi}^{0}_2$ decays to a Z boson and $\tilde{\chi}^0_1$ (TChiWZ model). The black curves represent the observed exclusion contour and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma _{\text {theory}}$). The red curves indicate the mean expected exclusion contour and the region containing 68% ($ \pm $1$\sigma _{\text {experiment}}$) of the expected exclusion limits under the background-only hypothesis. The mass exclusion limits are computed assuming wino-like cross sections.

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Figure 4-c:
The 95% CL upper limits on the production cross sections for ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{0}_2}$ assuming that the $\tilde{\chi}^{\pm}_1$ decays to a W boson and $\tilde{\chi}^0_1$ and that the $\tilde{\chi}^{0}_2$ decays to a Higgs boson and $\tilde{\chi}^0_1$ (TChiWH model). The black curves represent the observed exclusion contour and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma _{\text {theory}}$). The red curves indicate the mean expected exclusion contour and the region containing 68% ($ \pm $1$\sigma _{\text {experiment}}$) of the expected exclusion limits under the background-only hypothesis. The mass exclusion limits are computed assuming wino-like cross sections.

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Figure 5:
Expected and observed 95% CL exclusion for mass-degenerate wino-like ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{\mp}_1}$ and ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{0}_2}$ production (left) and higgsino-like ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{\mp}_1}$, ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{0}_2}$, ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{0}_3}$, and ${\tilde{\chi}^{0}_2 \tilde{\chi}^{0}_3}$ production (right) as functions of the NLSP and LSP masses. The $\tilde{\chi}^{\pm}_1$, $\tilde{\chi}^{0}_2$, and $\tilde{\chi}^{0}_3$ are considered to be mass degenerate. For the higgsino-like case (right), the 95% CL upper limits on the production cross sections are also shown, but they are not shown for the wino-like case (left) because there are two distinct sets of limits depending on the chargino decay mode.

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Figure 5-a:
Expected and observed 95% CL exclusion for mass-degenerate wino-like ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{\mp}_1}$ and ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{0}_2}$ production as functions of the NLSP and LSP masses. The $\tilde{\chi}^{\pm}_1$, $\tilde{\chi}^{0}_2$, and $\tilde{\chi}^{0}_3$ are considered to be mass degenerate. The 95% CL upper limits on the production cross sections are not shown because there are two distinct sets of limits depending on the chargino decay mode.

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Figure 5-b:
Expected and observed 95% CL exclusion for mass-degenerate higgsino-like ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{\mp}_1}$, ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{0}_2}$, ${\tilde{\chi}^{\pm}_1 \tilde{\chi}^{0}_3}$, and ${\tilde{\chi}^{0}_2 \tilde{\chi}^{0}_3}$ production as functions of the NLSP and LSP masses. The $\tilde{\chi}^{\pm}_1$, $\tilde{\chi}^{0}_2$, and $\tilde{\chi}^{0}_3$ are considered to be mass degenerate. The 95% CL upper limits on the production cross sections are also shown.
Tables

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Table 1:
Summary of tagging requirements for the b-veto SR and CRs. Each of these regions includes the baseline selection described in Section 4 and requires zero b-tagged AK4 jets and at least two AK8 jets satisfying 65 $ < {m_{\text {J}}} < $ 105 GeV. The SR and CRs are described in detail in Sections 4.1 and 5.1, respectively. The W and V taggers are described in Section 3.

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Table 2:
Summary of tagging requirements for the b-tag SRs and CRs. Each of these regions includes the baseline requirements described in Section 4 and requires at least one b-tagged AK4 jet and at least two AK8 jets. The SRs and CRs are described in detail in Sections 4.2 and 5.2, respectively. The ${\mathrm{b} \mathrm{\bar{b}}}$ and W taggers are described in Section 3, and the definitions of W and Higgs boson candidates are given in Section 4.2. In addition to the six regions described in this table, the b-tag predictions also use six single-lepton CRs that are identical except that exactly one charged lepton is required. A dash (--) indicates that no requirement is imposed.

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Table 3:
The dominant systematic uncertainties and their effects on event yields (in %) in various SRs. For the 0- and 1-res backgrounds in the b-veto SR, uncertainties are presented separately depending on the CR region used for the estimation. A dash (--) indicates that the source of uncertainty is not applicable.
Summary
A search is presented for signatures of electroweak production of charginos and neutralinos in fully hadronic final states. The charginos are assumed to decay to the W boson and the lightest neutralino $\tilde{\chi}^0_1$, and the heavier neutralinos ($\tilde{\chi}^{0}_2$ and $\tilde{\chi}^{0}_3$) are assumed to decay to either the Z or Higgs boson (H) and $\tilde{\chi}^0_1$. The decay products of W, Z, or Higgs bosons are clustered into large-radius jets. These jets are categorized based on their mass and a collection of novel jet-tagging algorithms based on deep neural networks. Four search regions, three that require b tags and one that excludes b tags, are constructed to look for chargino- and neutralino-mediated production of a pair of bosons, WW, WZ, or WH, together with a large transverse momentum imbalance. We consider simplified models in which the charginos $\tilde{\chi}^{\pm}_1$ and the next-to-lightest neutralino $\tilde{\chi}^{0}_2$ are assumed to be the mass-degenerate next-to-lightest supersymmetric particles (NLSPs). The lightest neutralino $\tilde{\chi}^0_1$ is assumed to be bino-like and to be the lightest supersymmetric particle (LSP). No statistically significant excess of events is observed in the data with respect to the expectation from the standard model.

Using wino-like pair production cross sections, 95% confidence level mass exclusions are derived. For signals with WW, WZ, or WH boson pairs, the NLSP mass exclusion limit for low-mass LSPs extends up to 670, 760, and 970 GeV, respectively. When we consider models including both wino-like NLSP ${\tilde{\chi}^{\pm}_1\tilde{\chi}^{0}_2}$ and $\tilde{\chi}^{\pm}_1$ pair production under the assumption that either $\tilde{\chi}^{0}_2\to\mathrm{Z}\tilde{\chi}^0_1$ or $\tilde{\chi}^{0}_2\to\mathrm{H}\tilde{\chi}^0_1$, the NLSP mass exclusion extends up to 870 and 960 GeV, respectively. Alternatively, with higgsino-like NLSPs $\tilde{\chi}^{\pm}_1$, $\tilde{\chi}^{0}_2$, and $\tilde{\chi}^{0}_3$, the higgsino masses from 300 to 650 GeV are excluded for low-mass LSPs. These mass exclusions significantly improve on those achieved by searches using leptonic probes of SUSY for high NLSP masses.
Additional Figures

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Additional Figure 1:
Distributions of $ p_{\mathrm{T}}^\text{miss} $ (a), $ H_{\mathrm{T}} $ (b), the number of b tags (c), and the number of AK4 jets (d) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 1-a:
Distributions of $ p_{\mathrm{T}}^\text{miss} $ (a), $ H_{\mathrm{T}} $ (b), the number of b tags (c), and the number of AK4 jets (d) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 1-b:
Distributions of $ p_{\mathrm{T}}^\text{miss} $ (a), $ H_{\mathrm{T}} $ (b), the number of b tags (c), and the number of AK4 jets (d) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 1-c:
Distributions of $ p_{\mathrm{T}}^\text{miss} $ (a), $ H_{\mathrm{T}} $ (b), the number of b tags (c), and the number of AK4 jets (d) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 1-d:
Distributions of $ p_{\mathrm{T}}^\text{miss} $ (a), $ H_{\mathrm{T}} $ (b), the number of b tags (c), and the number of AK4 jets (d) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 2:
Distributions of the number of AK8 jets (a), the leading AK8 jet $ p_{\mathrm{T}} $ (b), and the soft-drop mass of the leading AK8 jet (c) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 2-a:
Distributions of the number of AK8 jets (a), the leading AK8 jet $ p_{\mathrm{T}} $ (b), and the soft-drop mass of the leading AK8 jet (c) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 2-b:
Distributions of the number of AK8 jets (a), the leading AK8 jet $ p_{\mathrm{T}} $ (b), and the soft-drop mass of the leading AK8 jet (c) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 2-c:
Distributions of the number of AK8 jets (a), the leading AK8 jet $ p_{\mathrm{T}} $ (b), and the soft-drop mass of the leading AK8 jet (c) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 3:
Distributions of the leading AK8 jet's DNN scores for the $ \mathrm{b} \overline{\mathrm{b}} $ tagger (a), the W tagger (b), and the V tagger (c) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 3-a:
Distributions of the leading AK8 jet's DNN scores for the $ \mathrm{b} \overline{\mathrm{b}} $ tagger (a), the W tagger (b), and the V tagger (c) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 3-b:
Distributions of the leading AK8 jet's DNN scores for the $ \mathrm{b} \overline{\mathrm{b}} $ tagger (a), the W tagger (b), and the V tagger (c) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 3-c:
Distributions of the leading AK8 jet's DNN scores for the $ \mathrm{b} \overline{\mathrm{b}} $ tagger (a), the W tagger (b), and the V tagger (c) with the baseline selection. The filled histograms show the SM predictions based on simulation, and the open histograms show the expectations for selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 4:
Transfer factors in the b-veto regions, i.e.,, the ratios of the expected yields of the 0- and 1-res backgrounds in different regions: the SR to 0-tag CR ratio (a) and the SR to V-tag CR ratio (b). The vertical error bars indicate the statistical uncertainty in the simulation.

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Additional Figure 4-a:
Transfer factors in the b-veto regions, i.e.,, the ratios of the expected yields of the 0- and 1-res backgrounds in different regions: the SR to 0-tag CR ratio (a) and the SR to V-tag CR ratio (b). The vertical error bars indicate the statistical uncertainty in the simulation.

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Additional Figure 4-b:
Transfer factors in the b-veto regions, i.e.,, the ratios of the expected yields of the 0- and 1-res backgrounds in different regions: the SR to 0-tag CR ratio (a) and the SR to V-tag CR ratio (b). The vertical error bars indicate the statistical uncertainty in the simulation.

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Additional Figure 5:
Transfer factors, for extrapolating from 1 $ \ell $ to 0 $ \ell $ regions, as functions of $ p_{\mathrm{T}}^\text{miss} $ in each of the three b-tag SRs. These are computed using simulated events containing top quarks. The vertical error bars indicate the statistical uncertainty in the simulation.

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Additional Figure 6:
Tag to antitag ratio as computed from 0-res simulation samples for each of the b-tag SRs and each $ p_{\mathrm{T}}^\text{miss} $ bin. The vertical error bars indicate the statistical uncertainty in the simulation.

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Additional Figure 7:
Data yields in the 1-jet W-tag (a) and V-tag (b) validation regions compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these validation regions, events are required to pass the baseline selection except for the second AK8 jet requirement, and to have only one AK8 jet, which is W or V tagged. The predicted SM 0-res and 1-res backgrounds in each validation region are based on an extrapolation from control regions defined by the inversion of the DNN requirement for the W or V tag. The rare background is taken directly from simulation. The hatched gray bands correspond to the total uncertainty in the prediction.

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Additional Figure 7-a:
Data yields in the 1-jet W-tag (a) and V-tag (b) validation regions compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these validation regions, events are required to pass the baseline selection except for the second AK8 jet requirement, and to have only one AK8 jet, which is W or V tagged. The predicted SM 0-res and 1-res backgrounds in each validation region are based on an extrapolation from control regions defined by the inversion of the DNN requirement for the W or V tag. The rare background is taken directly from simulation. The hatched gray bands correspond to the total uncertainty in the prediction.

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Additional Figure 7-b:
Data yields in the 1-jet W-tag (a) and V-tag (b) validation regions compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these validation regions, events are required to pass the baseline selection except for the second AK8 jet requirement, and to have only one AK8 jet, which is W or V tagged. The predicted SM 0-res and 1-res backgrounds in each validation region are based on an extrapolation from control regions defined by the inversion of the DNN requirement for the W or V tag. The rare background is taken directly from simulation. The hatched gray bands correspond to the total uncertainty in the prediction.

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Additional Figure 8:
Data yields in the 2-jet, 1-tag validation regions, the W-tag region (a) and the V-tag region (b), compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these validation regions, events are required to pass the baseline selection including the requirement of having at least two AK8 jets, but only one AK8 jet may pass the WZ mass requirement of 65 $ < m_{\text{J}} < $ 105 GeV, and only one AK8 jet is permitted to be W or V tagged. The predicted SM 0-res and 1-res backgrounds in each validation region are based on an extrapolation from control regions defined by the inversion of the DNN requirement for the W or V tag. The rare background is taken directly from simulation. The deviation from unity of the ratio of the data yields to the SM predictions in each of these validation regions is used to extract the non-closure corrections for the W and V taggers as discussed in the main text, and the full size of the correction is assigned as its uncertainty. The hatched gray bands correspond to the total uncertainty in the prediction.

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Additional Figure 8-a:
Data yields in the 2-jet, 1-tag validation regions, the W-tag region (a) and the V-tag region (b), compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these validation regions, events are required to pass the baseline selection including the requirement of having at least two AK8 jets, but only one AK8 jet may pass the WZ mass requirement of 65 $ < m_{\text{J}} < $ 105 GeV, and only one AK8 jet is permitted to be W or V tagged. The predicted SM 0-res and 1-res backgrounds in each validation region are based on an extrapolation from control regions defined by the inversion of the DNN requirement for the W or V tag. The rare background is taken directly from simulation. The deviation from unity of the ratio of the data yields to the SM predictions in each of these validation regions is used to extract the non-closure corrections for the W and V taggers as discussed in the main text, and the full size of the correction is assigned as its uncertainty. The hatched gray bands correspond to the total uncertainty in the prediction.

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Additional Figure 8-b:
Data yields in the 2-jet, 1-tag validation regions, the W-tag region (a) and the V-tag region (b), compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these validation regions, events are required to pass the baseline selection including the requirement of having at least two AK8 jets, but only one AK8 jet may pass the WZ mass requirement of 65 $ < m_{\text{J}} < $ 105 GeV, and only one AK8 jet is permitted to be W or V tagged. The predicted SM 0-res and 1-res backgrounds in each validation region are based on an extrapolation from control regions defined by the inversion of the DNN requirement for the W or V tag. The rare background is taken directly from simulation. The deviation from unity of the ratio of the data yields to the SM predictions in each of these validation regions is used to extract the non-closure corrections for the W and V taggers as discussed in the main text, and the full size of the correction is assigned as its uncertainty. The hatched gray bands correspond to the total uncertainty in the prediction.

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Additional Figure 9:
Data yields in the one W-tag region (a) and one V-tag region (b) compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these regions, events are required to pass the baseline selection including the requirement of having at least two AK8 jets, at least two AK8 jets must pass the WZ mass requirement of 65 $ < m_{\text{J}} < $ 105 GeV, but only one AK8 jet is permitted to be W or V tagged. The predicted SM 0-res and 1-res backgrounds in each validation region are based on an extrapolation from the 0-tag control region, in which events have at least two AK8 jets passing the WZ mass requirement of 65 $ < m_{\text{J}} < $ 105 GeV but none of them pass the DNN requirements for the W or V taggers. The rare background is taken directly from simulation. The hatched gray bands correspond to the total uncertainty in the prediction.

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Additional Figure 9-a:
Data yields in the one W-tag region (a) and one V-tag region (b) compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these regions, events are required to pass the baseline selection including the requirement of having at least two AK8 jets, at least two AK8 jets must pass the WZ mass requirement of 65 $ < m_{\text{J}} < $ 105 GeV, but only one AK8 jet is permitted to be W or V tagged. The predicted SM 0-res and 1-res backgrounds in each validation region are based on an extrapolation from the 0-tag control region, in which events have at least two AK8 jets passing the WZ mass requirement of 65 $ < m_{\text{J}} < $ 105 GeV but none of them pass the DNN requirements for the W or V taggers. The rare background is taken directly from simulation. The hatched gray bands correspond to the total uncertainty in the prediction.

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Additional Figure 9-b:
Data yields in the one W-tag region (a) and one V-tag region (b) compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these regions, events are required to pass the baseline selection including the requirement of having at least two AK8 jets, at least two AK8 jets must pass the WZ mass requirement of 65 $ < m_{\text{J}} < $ 105 GeV, but only one AK8 jet is permitted to be W or V tagged. The predicted SM 0-res and 1-res backgrounds in each validation region are based on an extrapolation from the 0-tag control region, in which events have at least two AK8 jets passing the WZ mass requirement of 65 $ < m_{\text{J}} < $ 105 GeV but none of them pass the DNN requirements for the W or V taggers. The rare background is taken directly from simulation. The hatched gray bands correspond to the total uncertainty in the prediction.

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Additional Figure 10:
Data yields in the W (a) and H (b) b-tag validation regions compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these regions, events are required to pass the baseline selection except for the second AK8 jet requirement. Events are required to contain exactly one AK8 jet and at least one b-tagged AK4 jet. The hatched gray bands correspond to the total uncertainty in the prediction. The open histograms show the expectations from selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 10-a:
Data yields in the W (a) and H (b) b-tag validation regions compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these regions, events are required to pass the baseline selection except for the second AK8 jet requirement. Events are required to contain exactly one AK8 jet and at least one b-tagged AK4 jet. The hatched gray bands correspond to the total uncertainty in the prediction. The open histograms show the expectations from selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 10-b:
Data yields in the W (a) and H (b) b-tag validation regions compared to the predicted SM backgrounds as functions of $ p_{\mathrm{T}}^\text{miss} $. In these regions, events are required to pass the baseline selection except for the second AK8 jet requirement. Events are required to contain exactly one AK8 jet and at least one b-tagged AK4 jet. The hatched gray bands correspond to the total uncertainty in the prediction. The open histograms show the expectations from selected signal models, which are denoted in the legend by the name of the model followed by the assumed masses of the NLSP and LSP.

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Additional Figure 11:
Observed significance of any excess in the data above the expected backgrounds, interpreted in the context of mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ for each $ \tilde{\chi}_{1}^{\pm} $ (a), as well as mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ and $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $ (b) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (c). A negative significance indicates a data deficit below the expected backgrounds.

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Additional Figure 11-a:
Observed significance of any excess in the data above the expected backgrounds, interpreted in the context of mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ for each $ \tilde{\chi}_{1}^{\pm} $ (a), as well as mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ and $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $ (b) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (c). A negative significance indicates a data deficit below the expected backgrounds.

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Additional Figure 11-b:
Observed significance of any excess in the data above the expected backgrounds, interpreted in the context of mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ for each $ \tilde{\chi}_{1}^{\pm} $ (a), as well as mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ and $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $ (b) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (c). A negative significance indicates a data deficit below the expected backgrounds.

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Additional Figure 11-c:
Observed significance of any excess in the data above the expected backgrounds, interpreted in the context of mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ for each $ \tilde{\chi}_{1}^{\pm} $ (a), as well as mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ and $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $ (b) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (c). A negative significance indicates a data deficit below the expected backgrounds.

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Additional Figure 12:
Observed significance of any excess in the data above the expected backgrounds, interpreted in the context of mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ and $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $ (b) and higgsino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $, $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{3}^{0} $, $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $, and $ \tilde{\chi}_{2}^{0}\tilde{\chi}_{3}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $, $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $, and $ \mathcal{B}(\tilde{\chi}_{3}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (c) as functions of the NLSP and LSP masses. A negative significance indicates a data deficit below the expected backgrounds.

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Additional Figure 12-a:
Observed significance of any excess in the data above the expected backgrounds, interpreted in the context of mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ and $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $ (b) and higgsino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $, $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{3}^{0} $, $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $, and $ \tilde{\chi}_{2}^{0}\tilde{\chi}_{3}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $, $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $, and $ \mathcal{B}(\tilde{\chi}_{3}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (c) as functions of the NLSP and LSP masses. A negative significance indicates a data deficit below the expected backgrounds.

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Additional Figure 12-b:
Observed significance of any excess in the data above the expected backgrounds, interpreted in the context of mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ and $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $ (b) and higgsino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $, $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{3}^{0} $, $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $, and $ \tilde{\chi}_{2}^{0}\tilde{\chi}_{3}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $, $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $, and $ \mathcal{B}(\tilde{\chi}_{3}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (c) as functions of the NLSP and LSP masses. A negative significance indicates a data deficit below the expected backgrounds.

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Additional Figure 12-c:
Observed significance of any excess in the data above the expected backgrounds, interpreted in the context of mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $ and $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $ (b) and higgsino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $, $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{3}^{0} $, $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $, and $ \tilde{\chi}_{2}^{0}\tilde{\chi}_{3}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm} \to \mathrm{W} \tilde{\chi}_{1}^{0})=100% $, $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0})=100% $, and $ \mathcal{B}(\tilde{\chi}_{3}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0})=100% $ (c) as functions of the NLSP and LSP masses. A negative significance indicates a data deficit below the expected backgrounds.

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Additional Figure 13:
Acceptance times efficiency ($ A\epsilon $) for the TChiWW model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 13-a:
Acceptance times efficiency ($ A\epsilon $) for the TChiWW model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 13-b:
Acceptance times efficiency ($ A\epsilon $) for the TChiWW model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 13-c:
Acceptance times efficiency ($ A\epsilon $) for the TChiWW model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 13-d:
Acceptance times efficiency ($ A\epsilon $) for the TChiWW model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 14:
Acceptance times efficiency ($ A\epsilon $) for the TChiWZ model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 14-a:
Acceptance times efficiency ($ A\epsilon $) for the TChiWZ model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 14-b:
Acceptance times efficiency ($ A\epsilon $) for the TChiWZ model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 14-c:
Acceptance times efficiency ($ A\epsilon $) for the TChiWZ model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 14-d:
Acceptance times efficiency ($ A\epsilon $) for the TChiWZ model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 15:
Acceptance times efficiency ($ A\epsilon $) for the TChiWH model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 15-a:
Acceptance times efficiency ($ A\epsilon $) for the TChiWH model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 15-b:
Acceptance times efficiency ($ A\epsilon $) for the TChiWH model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 15-c:
Acceptance times efficiency ($ A\epsilon $) for the TChiWH model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 15-d:
Acceptance times efficiency ($ A\epsilon $) for the TChiWH model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 16:
Acceptance times efficiency ($ A\epsilon $) for the TChiHZ model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 16-a:
Acceptance times efficiency ($ A\epsilon $) for the TChiHZ model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 16-b:
Acceptance times efficiency ($ A\epsilon $) for the TChiHZ model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 16-c:
Acceptance times efficiency ($ A\epsilon $) for the TChiHZ model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 16-d:
Acceptance times efficiency ($ A\epsilon $) for the TChiHZ model in the b-veto SR (a), WH SR (b), W SR (c), and H SR (d).

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Additional Figure 17:
Expected and observed 95% CL upper limits on mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production, assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm}\to\mathrm{W}\tilde{\chi}_{1}^{0}) = 100% $, and either $ \mathcal{B}(\tilde{\chi}_{2}^{0}\to\mathrm{Z}\tilde{\chi}_{1}^{0}) = 100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0}\to\mathrm{H}\tilde{\chi}_{1}^{0}) = 100% $ (b). In each of these two plots, the red (black) contours represent the expected (observed) mass exclusion limits. Mass exclusion limits are computed assuming wino-like cross sections.

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Additional Figure 17-a:
Expected and observed 95% CL upper limits on mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production, assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm}\to\mathrm{W}\tilde{\chi}_{1}^{0}) = 100% $, and either $ \mathcal{B}(\tilde{\chi}_{2}^{0}\to\mathrm{Z}\tilde{\chi}_{1}^{0}) = 100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0}\to\mathrm{H}\tilde{\chi}_{1}^{0}) = 100% $ (b). In each of these two plots, the red (black) contours represent the expected (observed) mass exclusion limits. Mass exclusion limits are computed assuming wino-like cross sections.

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Additional Figure 17-b:
Expected and observed 95% CL upper limits on mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production, assuming $ \mathcal{B}(\tilde{\chi}_{1}^{\pm}\to\mathrm{W}\tilde{\chi}_{1}^{0}) = 100% $, and either $ \mathcal{B}(\tilde{\chi}_{2}^{0}\to\mathrm{Z}\tilde{\chi}_{1}^{0}) = 100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0}\to\mathrm{H}\tilde{\chi}_{1}^{0}) = 100% $ (b). In each of these two plots, the red (black) contours represent the expected (observed) mass exclusion limits. Mass exclusion limits are computed assuming wino-like cross sections.

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Additional Figure 18:
Covariance matrix for the signal regions, derived from a fit to the control regions only under the background-only hypothesis.

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Additional Figure 19:
Correlation matrix for the signal regions, derived from a fit to the control regions only under the background-only hypothesis.

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Additional Figure 20:
Projected 95% CL exclusion for 3$\,\text{ab}^{-1}$ (red) for mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0}) = 100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0}) = 100% $ (b) and higgsino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $, $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{3}^{0} $, $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $, and $ \tilde{\chi}_{2}^{0}\tilde{\chi}_{3}^{0} $ production (c) as functions of the NLSP and LSP masses. Projections are compared to results from LHC Run 2 with 137 fb$ ^{-1} $ (black). Projected 5 $ \sigma $ and 3 $ \sigma $ expected significance curves (blue) are also included.

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Additional Figure 20-a:
Projected 95% CL exclusion for 3$\,\text{ab}^{-1}$ (red) for mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0}) = 100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0}) = 100% $ (b) and higgsino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $, $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{3}^{0} $, $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $, and $ \tilde{\chi}_{2}^{0}\tilde{\chi}_{3}^{0} $ production (c) as functions of the NLSP and LSP masses. Projections are compared to results from LHC Run 2 with 137 fb$ ^{-1} $ (black). Projected 5 $ \sigma $ and 3 $ \sigma $ expected significance curves (blue) are also included.

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Additional Figure 20-b:
Projected 95% CL exclusion for 3$\,\text{ab}^{-1}$ (red) for mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0}) = 100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0}) = 100% $ (b) and higgsino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $, $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{3}^{0} $, $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $, and $ \tilde{\chi}_{2}^{0}\tilde{\chi}_{3}^{0} $ production (c) as functions of the NLSP and LSP masses. Projections are compared to results from LHC Run 2 with 137 fb$ ^{-1} $ (black). Projected 5 $ \sigma $ and 3 $ \sigma $ expected significance curves (blue) are also included.

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Additional Figure 20-c:
Projected 95% CL exclusion for 3$\,\text{ab}^{-1}$ (red) for mass-degenerate wino-like $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $ and $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $ production assuming $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{H} \tilde{\chi}_{1}^{0}) = 100% $ (a) or $ \mathcal{B}(\tilde{\chi}_{2}^{0} \to \mathrm{Z} \tilde{\chi}_{1}^{0}) = 100% $ (b) and higgsino-like $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{2}^{0} $, $ \tilde{\chi}_{1}^{\pm}\tilde{\chi}_{3}^{0} $, $ \tilde{\chi}_{1}^{\pm}{\tilde{\chi}}{1}{\mp} $, and $ \tilde{\chi}_{2}^{0}\tilde{\chi}_{3}^{0} $ production (c) as functions of the NLSP and LSP masses. Projections are compared to results from LHC Run 2 with 137 fb$ ^{-1} $ (black). Projected 5 $ \sigma $ and 3 $ \sigma $ expected significance curves (blue) are also included.

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Additional Figure 21:
Efficiencies of the W tagger (a), V tagger (b) and $ \mathrm{b} \overline{\mathrm{b}} $ tagger (c) for tagging hadronic decays of W, Z, and H bosons. The uncertainty in each tagging efficiency is dominated by the difference between data and simulation and is considered to be correlated across $ p_{\mathrm{T}} $ bins. The efficiencies are derived with baseline selections and require the reconstructed AK8 jets to be within $ \Delta R < $ 0.6 of the generated bosons. Additionally, $ \mathrm{b} \overline{\mathrm{b}} $-tagged AK8 jets are required to be near at least one b-tagged AK4 jet that satisfies $ \Delta R(\mathrm{b}\text{ jet}, \text{AK8 jet}) < $ 0.8; W- and V-tagged AK8 jets are required to be away ($ \Delta R > $ 0.8) from all the b-tagged AK4 jets. The correlation between the W and V taggers is found to be about 80%. When the W tagger tags $ \mathrm{Z}(\mathrm{q}\overline{\mathrm{q}}) $ decays, we assign half the difference between the $ \mathrm{W}(\mathrm{q}{\overline{\mathrm{q}}}{\prime}) $ and $ \mathrm{Z}(\mathrm{q}\overline{\mathrm{q}}) $ efficiencies (blue vs.\ green in (a)) as the uncertainty, correlated across all $ p_{\mathrm{T}} $ ranges. The W- and V-tagging efficiencies are not applicable to vector bosons arising from H boson decays.

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Additional Figure 21-a:
Efficiencies of the W tagger (a), V tagger (b) and $ \mathrm{b} \overline{\mathrm{b}} $ tagger (c) for tagging hadronic decays of W, Z, and H bosons. The uncertainty in each tagging efficiency is dominated by the difference between data and simulation and is considered to be correlated across $ p_{\mathrm{T}} $ bins. The efficiencies are derived with baseline selections and require the reconstructed AK8 jets to be within $ \Delta R < $ 0.6 of the generated bosons. Additionally, $ \mathrm{b} \overline{\mathrm{b}} $-tagged AK8 jets are required to be near at least one b-tagged AK4 jet that satisfies $ \Delta R(\mathrm{b}\text{ jet}, \text{AK8 jet}) < $ 0.8; W- and V-tagged AK8 jets are required to be away ($ \Delta R > $ 0.8) from all the b-tagged AK4 jets. The correlation between the W and V taggers is found to be about 80%. When the W tagger tags $ \mathrm{Z}(\mathrm{q}\overline{\mathrm{q}}) $ decays, we assign half the difference between the $ \mathrm{W}(\mathrm{q}{\overline{\mathrm{q}}}{\prime}) $ and $ \mathrm{Z}(\mathrm{q}\overline{\mathrm{q}}) $ efficiencies (blue vs.\ green in (a)) as the uncertainty, correlated across all $ p_{\mathrm{T}} $ ranges. The W- and V-tagging efficiencies are not applicable to vector bosons arising from H boson decays.

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Additional Figure 21-b:
Efficiencies of the W tagger (a), V tagger (b) and $ \mathrm{b} \overline{\mathrm{b}} $ tagger (c) for tagging hadronic decays of W, Z, and H bosons. The uncertainty in each tagging efficiency is dominated by the difference between data and simulation and is considered to be correlated across $ p_{\mathrm{T}} $ bins. The efficiencies are derived with baseline selections and require the reconstructed AK8 jets to be within $ \Delta R < $ 0.6 of the generated bosons. Additionally, $ \mathrm{b} \overline{\mathrm{b}} $-tagged AK8 jets are required to be near at least one b-tagged AK4 jet that satisfies $ \Delta R(\mathrm{b}\text{ jet}, \text{AK8 jet}) < $ 0.8; W- and V-tagged AK8 jets are required to be away ($ \Delta R > $ 0.8) from all the b-tagged AK4 jets. The correlation between the W and V taggers is found to be about 80%. When the W tagger tags $ \mathrm{Z}(\mathrm{q}\overline{\mathrm{q}}) $ decays, we assign half the difference between the $ \mathrm{W}(\mathrm{q}{\overline{\mathrm{q}}}{\prime}) $ and $ \mathrm{Z}(\mathrm{q}\overline{\mathrm{q}}) $ efficiencies (blue vs.\ green in (a)) as the uncertainty, correlated across all $ p_{\mathrm{T}} $ ranges. The W- and V-tagging efficiencies are not applicable to vector bosons arising from H boson decays.

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Additional Figure 21-c:
Efficiencies of the W tagger (a), V tagger (b) and $ \mathrm{b} \overline{\mathrm{b}} $ tagger (c) for tagging hadronic decays of W, Z, and H bosons. The uncertainty in each tagging efficiency is dominated by the difference between data and simulation and is considered to be correlated across $ p_{\mathrm{T}} $ bins. The efficiencies are derived with baseline selections and require the reconstructed AK8 jets to be within $ \Delta R < $ 0.6 of the generated bosons. Additionally, $ \mathrm{b} \overline{\mathrm{b}} $-tagged AK8 jets are required to be near at least one b-tagged AK4 jet that satisfies $ \Delta R(\mathrm{b}\text{ jet}, \text{AK8 jet}) < $ 0.8; W- and V-tagged AK8 jets are required to be away ($ \Delta R > $ 0.8) from all the b-tagged AK4 jets. The correlation between the W and V taggers is found to be about 80%. When the W tagger tags $ \mathrm{Z}(\mathrm{q}\overline{\mathrm{q}}) $ decays, we assign half the difference between the $ \mathrm{W}(\mathrm{q}{\overline{\mathrm{q}}}{\prime}) $ and $ \mathrm{Z}(\mathrm{q}\overline{\mathrm{q}}) $ efficiencies (blue vs.\ green in (a)) as the uncertainty, correlated across all $ p_{\mathrm{T}} $ ranges. The W- and V-tagging efficiencies are not applicable to vector bosons arising from H boson decays.
Additional Tables

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Additional Table 1:
Summary of the baseline selection requirements imposed on the reconstructed physics objects for this search. Here $ R $ is the distance parameter of the anti-$ k_{\mathrm{T}} $ algorithm. Electron and muon candidates as well as $ \tau_\mathrm{h} $ candidates and isolated tracks are as defined in the main body of the text. The $ \mathrm{i} $-th highest-$ p_{\mathrm{T}} $ jets reconstructed by the anti-$ k_{\mathrm{T}} $ algorithm with $ R = $ 0.4 and 0.8 are denoted by ${\mathrm {j}_{\mathrm {i}}}$ and ${\mathrm {J}_{\mathrm {i}}}$, respectively. Similarly, $ n_\text{j} $ and $ n_\text{J} $ indicate the number of selected jets with $ R = $ 0.4 and 0.8, respectively.

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Additional Table 2:
Observations and SM background predictions derived from the fit to the data in the CRs in the b-veto SR. The column labeled ``Signal'' provides the expected signal yields from the TChiWZ model with an NLSP mass of 600 GeV and an LSP mass of 100 GeV. The uncertainties in the SM background predictions include both statistical and systematic uncertainties. For the signal, only the statistical uncertainties from simulation are listed.

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Additional Table 3:
Observations and SM background predictions derived from the fit to the data in the CRs in each of the b-tag SRs. The column labeled ``Signal'' provides the expected signal yields from the TChiWH model with an NLSP mass of 1000 GeV and an LSP mass of 100 GeV. The uncertainties in the SM background predictions include both statistical and systematic uncertainties. For the signal, only the statistical uncertainties from simulation are listed.

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Additional Table 4:
Cut flow table for selected signal samples, which are denoted in the top row by the name of the model followed by the assumed masses of the NLSP and LSP. The event yields are scaled to 137 fb$^{-1}$. The last four rows correspond to the total yield in different search region categories and they are not sequential. All the uncertainties are statistical uncertainties. The event yields are based on higgsino-like NLSPs for the TChiHZ model and wino-like NLSPs for others.
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