Observed model-independent upper limits at 90 % CL of $\mathcal{B}(K^{+}\rightarrow\pi^{+}X)$ as function of $X$ mass, for several $X$ lifetime hypotheses, assuming $X$ decays to visible SM particles.

Di-muon mass spectrum of selected $K^{+}\rightarrow\pi^{+}\mu^{+}\mu^{-}$ events from 2017–2018 data.

Expected and observed model-independent upper limits at 90 % CL for $\mathcal{B}(K^{+}\rightarrow\pi^{+}X)\times\mathcal{B}(X\rightarrow\mu^{+}\mu^{-})$ as a function of $m_{X}$ for $\tau_{X}=0$.

Observed model-independent upper limits at 90 % CL for $\mathcal{B}(K^{+}\rightarrow\pi^{+}X)\times\mathcal{B}(X\rightarrow\mu^{+}\mu^{-})$ for several $\tau_{X}$ values.

Branching ratio of the $K^{+}\rightarrow\pi^{+}A^{\prime}$ decay divided by the kinetic mixing coupling squared, $\varepsilon^{2}$, as a function of $m_{A^{\prime}}$ for the BC2 model with dark photon $A^{\prime}$.

Excluded region, at 90 % CL, of the parameter space $(m_{A^{\prime}},\varepsilon)$ for a dark photon $A^{\prime}$, decaying invisibly, in the BC2 model for the NA62 $K^{+}\rightarrow\pi^{+}X_{\rm inv}$ search.

Excluded region, at 90 % CL, of the parameter space $(m_{A^{\prime}},\varepsilon)$ for a dark photon $A^{\prime}$, decaying invisibly, in the BC2 model for the NA62 $\pi^{0}\rightarrow{\rm inv}$ search.

Branching ratio of the $K^{+}\rightarrow\pi^{+}S$ decay divided by $\text{sin}^{2}\theta$, as a function of $m_{S}$.

Excluded regions, at 90 % CL, of the parameter space $(m_{S},\rm{sin}^{2}\theta)$ for a dark scalar $S$, in the BC4-inv model for the NA62 $K^{+}\rightarrow\pi^{+}X_{\rm inv}$ search.

Excluded regions, at 90 % CL, of the parameter space $(m_{S},\rm{sin}^{2}\theta)$ for a dark scalar $S$, in the BC4-inv model for the NA62 $\pi^{0}\rightarrow{\rm inv}$ search.

Excluded regions, at 90 % CL, of the parameter space $(m_{S},\rm{sin}^{2}\theta$) for a dar scalar S, in the BC4 model, from the NA62 $K^{+}\rightarrow\pi^{+}X_{\rm inv}$ search.

Excluded regions, at 90 % CL, of the parameter space $(m_{S},\rm{sin}^{2}\theta$) for a dar scalar S, in the BC4 model, from the NA62 $K^{+}\rightarrow\pi^{+}\mu^{+}\mu^{-}$ study.

Branching ratio of the $K^{+}\rightarrow\pi^{+}a$ decay divided by $(C_{ff}/\Lambda)^{2}$, as a function of $m_{a}$, assuming Λ = 1 TeV.

Excluded regions, at 90 % CL, of the parameter space $(m_{a}, C_{ff}/\Lambda)$ for an ALP $a$, in the BC10-inv model, evaluated assuming $\Lambda = 1$ TeV, for the NA62 $K^{+}\rightarrow\pi^{+}X_{\rm inv}$ search.

Excluded regions, at 90 % CL, of the parameter space $(m_{a}, C_{ff}/\Lambda)$ for an ALP $a$, in the BC10-inv model, evaluated assuming $\Lambda = 1$ TeV, for the NA62 $\pi^{0}\rightarrow\rm{inv}$ search.

Excluded regions, at 90 % CL, of the parameter space $(m_{a}, C_{ff}/\lambda)$ for an ALP $a$, in the BC10 model, evaluated assuming $\Lambda = 1$ TeV for the NA62 $K^{+}\rightarrow\pi^{+}X_{\rm inv}$ search.

Excluded regions, at 90 % CL, of the parameter space $(m_{a}, C_{ff}/\lambda)$ for an ALP $a$, in the BC10 model, evaluated assuming $\Lambda = 1$ TeV for the NA62 $\pi^{0}\rightarrow\rm{inv}$ search.

Excluded regions, at 90 % CL, of the parameter space $(m_{a}, C_{ff}/\lambda)$ for an ALP $a$, in the BC10 model, evaluated assuming $\Lambda = 1$ TeV for the NA62 $K^{+}\rightarrow\pi^{+}\mu^{+}\mu^{-}$ study.

Branching ratio of the $K^{+}\rightarrow\pi^{+}a$ decay divided by $(C_{GG}/\Lambda)^{2}$, as a function of $m_{a}$, assuming $\Lambda = 1$ TeV.

Excluded regions, at 90 % CL, of the parameter space $(m_{a}, C_{GG}/\Lambda)$ for an ALP $a$, of the BC11 model, evaluated assuming $\Lambda = 1$ TeV, from the NA62 search for $K^{+}\rightarrow\pi^{+}X_{\rm inv}$.

Excluded regions, at 90 % CL, of the parameter space $(m_{a}, C_{GG}/\Lambda)$ for an ALP $a$, of the BC11 model, evaluated assuming $\Lambda = 1$ TeV, from the NA62 search for $\pi^{0}\rightarrow\rm{inv}$.

Excluded regions, at 90 % CL, of the parameter space $(m_{a}, C_{GG}/\Lambda)$ for an ALP $a$, of the BC11 model, evaluated assuming $\Lambda = 1$ TeV, from the NA62 $K^{+}\rightarrow\pi^{+}\gamma\gamma$ study.

The 95% CL limits on the cross-section $\sigma(pp \rightarrow Z' \rightarrow \chi \chi$) times branching ratio B in fb with all statistical and systematic uncertainties, for the $R_{\text{inv}}=$0.6 signal points.

Data yield in the PFN signal region.

Yield of data in the ANTELOPE signal region in the binning used for BumpHunter fitting.

The distributions of the variables used in the simultaneous fit for the SR. The black points with error bars represent the data and their statistical uncertainties, whereas the shaded band represents the predicted uncertainties. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The last bin of each plot has been extended to include the overflow contribution.

Expected and observed 95% upper limits on the product of the cross section and branching fraction$\sigma(\mathrm{pp} \ ightarrow W\mathrm{a})\mathcal{B}(W ightarrow \ell^{+} v_{\ell})\mathcal{B}(\mathrm{a} \rightarrow Z\gamma)\mathcal{B}(Z \rightarrow \ell^{+} \ell^{-})$ s a function of the ALP mass from 110 to 400 GeV

Expected and observed 95% upper limits on the photophobic ALP model parameter $1/f_{\mathrm{a}}$ as a function of ALP mass reinterpreted from $1/f_{\mathrm{a}}=2~\mathrm{TeV}^{-1}$

The DV reconstruction efficiency for an HNL with $m_N = 2$ GeV and $c\tau_N = 10$ mm, as a function of the DV radius $r_{DV}$ using the customised vertex reconstruction for a selection of the fully leptonic MC samples. Decays from HNLs are shown for $ee$ DVs for HNLs with various masses.

Expected 95% CL for the 1SFH $e$ Dirac model.

+1$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.

-1$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.

+2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.

-2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.

Observed 95% CL for the 1SFH $e$ Dirac model.

Expected 95% CL for the 1SFH $\mu$ Dirac model.

+1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model.

-1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model.

+2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model.

-2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model.

Observed 95% CL for the 1SFH $\mu$ Dirac model.

Expected 95% CL for the 2QDH NH Dirac model.

+1$\sigma$ Expected 95% CL for the 2QDH NH Dirac model.

-1$\sigma$ Expected 95% CL for the 2QDH NH Dirac model.

+2$\sigma$ Expected 95% CL for the 2QDH NH Dirac model.

-2$\sigma$ Expected 95% CL for the 2QDH NH Dirac model.

Observed 95% CL for the 2QDH NH Dirac model.

Expected 95% CL for the 2QDH IH Dirac model.

+1$\sigma$ Expected 95% CL for the 2QDH IH Dirac model.

-1$\sigma$ Expected 95% CL for the 2QDH IH Dirac model.

+2$\sigma$ Expected 95% CL for the 2QDH IH Dirac model.

-2$\sigma$ Expected 95% CL for the 2QDH IH Dirac model.

Observed 95% CL for the 2QDH IH Dirac model.

Expected 95% CL for 1SFH $e$ Majorana model.

+1$\sigma$ Expected 95% CL for 1SFH $e$ Majorana model.

-1$\sigma$ Expected 95% CL for the 1SFH $e$ Majorana model.

+2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.

-2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.

Observed 95% CL for the 1SFH $e$ Dirac model.

Expected 95% CL for 1SFH $\mu$ Majorana model.

+1$\sigma$ Expected 95% CL for 1SFH $\mu$ Majorana model.

-1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model.

+2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model.

-2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model.

Observed 95% CL for the 1SFH $\mu$ Majorana model.

Expected 95% CL for 2QDH NH Majorana model.

+1$\sigma$ Expected 95% CL for 2QDH NH Majorana model.

-1$\sigma$ Expected 95% CL for 2QDH NH Majorana model.

+2$\sigma$ Expected 95% CL for 2QDH NH Majorana model.

-2$\sigma$ Expected 95% CL for the 2QDH NH Majorana model.

Observed 95% CL for 2QDH NH Majorana model.

Expected 95% CL for 2QDH IH Majorana model

+1$\sigma$ Expected 95% CL for 2QDH IH Majorana model.

-1$\sigma$ Expected 95% CL for the 2QDH IH Majorana model.

+2$\sigma$ Expected 95% CL for the 2QDH IH Majorana model.

-2$\sigma$ Expected 95% CL for the 2QDH IH Majorana model.

Observed 95% CL for the 2QDH IH Majorana model.

Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+1$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-1$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the N mean proper lifetime $c\tau_N$ vs. $m_N$.

+2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Observed 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Expected 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Observed 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Expected 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+1$\sigma$ Expected 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-1$\sigma$ Expected 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+2$\sigma$ Expected 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-2$\sigma$ Expected 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Observed 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Expected 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+1$\sigma$ Expected 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-1$\sigma$ Expected 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+2$\sigma$ Expected 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-2$\sigma$ Expected 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Observed 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Expected 95% CL for 1SFH $e$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+1$\sigma$ Expected 95% CL for 1SFH $e$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-1$\sigma$ Expected 95% CL for the 1SFH $e$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Observed 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Expected 95% CL for 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+1$\sigma$ Expected 95% CL for 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Observed 95% CL for the 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Expected 95% CL for 2QDH NH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+1$\sigma$ Expected 95% CL for 2QDH NH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-1$\sigma$ Expected 95% CL for 2QDH NH Majorana model on the N mean proper lifetime $c\tau_N$ vs. $m_N$.

+2$\sigma$ Expected 95% CL for 2QDH NH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-2$\sigma$ Expected 95% CL for the 2QDH NH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Observed 95% CL for 2QDH NH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Expected 95% CL for 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+1$\sigma$ Expected 95% CL for 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-1$\sigma$ Expected 95% CL for the 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

+2$\sigma$ Expected 95% CL for the 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

-2$\sigma$ Expected 95% CL for the 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Observed 95% CL for the 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.

Cutflow for background MC samples all channels

Raw cutflow for $\mu\mu\mu$ 0.1 mm signal samples

Raw cutflow for $\mu\mu\mu$ 1 mm signal samples

Raw cutflow for $\mu\mu\mu$ 10 mm signal samples

Raw cutflow for $\mu\mu\mu$ 100 mm signal samples

Raw cutflow for $\mu\mu\mu$ 1000 mm signal samples

Raw cutflow for $\mu\mu e$ 0.1 mm signal samples

Raw cutflow for $\mu\mu e$ 1 mm signal samples

Raw cutflow for $\mu\mu e$ 10 mm signal samples

Raw cutflow for $\mu\mu e$ 100 mm signal samples

Raw cutflow for $\mu\mu e$ 1000 mm signal samples

Raw cutflow for uee 0.1 mm signal samples

Raw cutflow for uee 1 mm signal samples

Raw cutflow for uee 10 mm signal samples

Raw cutflow for uee 100 mm signal samples

Raw cutflow for uee 1000 mm signal samples

Raw cutflow for eee 0.1 mm signal samples

Raw cutflow for eee 1 mm signal samples

Raw cutflow for eee 10 mm signal samples

Raw cutflow for eee 100 mm signal samples

Raw cutflow for eee 1000 mm signal samples

Raw cutflow for $ee\mu$ 0.1 mm signal samples

Raw cutflow for $ee\mu$ 1 mm signal samples

Raw cutflow for $ee\mu$ 10 mm signal samples

Raw cutflow for $ee\mu$ 100 mm signal samples

Raw cutflow for $ee\mu$ 1000 mm signal samples

Raw cutflow for $e\mu\mu$ 0.1 mm signal samples

Raw cutflow for $e\mu\mu$ 1 mm signal samples

Raw cutflow for $e\mu\mu$ 10 mm signal samples

Raw cutflow for $e\mu\mu$ 100 mm signal samples

Raw cutflow for $e\mu\mu$ 1000 mm signal samples

Raw cutflow for $\mu\mu\pi$ 10 mm signal samples

Raw cutflow for $\mu\mu\pi$ 100 mm signal samples

Raw cutflow for $\mu\mu\pi$ 1000 mm signal samples

Raw cutflow for $\mu e\pi$ 10 mm signal samples

Raw cutflow for $\mu e\pi$ 100 mm signal samples

Raw cutflow for $\mu e\pi$ 1000 mm signal samples

Raw cutflow for $e\mu\pi$ 10 mm signal samples

Raw cutflow for $e\mu\pi$ 100 mm signal samples

Raw cutflow for $e\mu\pi$ 1000 mm signal samples

Raw cutflow for $ee\pi$ 10 mm signal samples

Raw cutflow for $ee\pi$ 100 mm signal samples

Raw cutflow for $ee\pi$ 1000 mm signal samples

Cross sections of eee channels for Dirac models

Cross sections of $ee\mu$ channels for Dirac models

Cross sections of $e\mu\mu$ channels for Dirac models

Cross sections of $\mu\mu\mu$ channels for Dirac models

Cross sections of $\mu\mu e$ channels for Dirac models

Cross sections of uee channels for Dirac models

Cross sections of eee channels for Majorana models

Cross sections of $ee\mu$ channels for Majorana models

Cross sections of $e\mu\mu$ channels for Majorana models

Cross sections of $\mu\mu\mu$ channels for Majorana models

Cross sections of $\mu\mu e$ channels for Majorana models

Cross sections of uee channels for Majorana models

Cross sections of eee channels for QD Dirac limit models

Cross sections of $ee\mu$ channels for QD Dirac limit models

Cross sections of $e\mu\mu$ channels for QD Dirac limit models

Cross sections of $\mu\mu\mu$ channels for QD Dirac limit models

Cross sections of $\mu\mu e$ channels for QD Dirac limit models

Cross sections of uee channels for QD Dirac limit models

Cross sections of eee channels for QD Majorana limit models

Cross sections of $ee\mu$ channels for QD Majorana limit models

Cross sections of $e\mu\mu$ channels for QD Majorana limit models

Cross sections of $\mu\mu\mu$ channels for QD Majorana limit models

Cross sections of $\mu\mu e$ channels for QD Majorana limit models

Cross sections of uee channels for QD Majorana limit models

Cross sections of $ee\pi$ channels for Dirac models

Cross sections of $ee\pi$ channels for Majorana models

Cross sections of $ee\pi$ channels for QD Dirac limit models

Cross sections of $ee\pi$ channels for QD Majorana limit models

Cross sections of $e\mu\pi$ channels for Dirac models

Cross sections of $e\mu\pi$ channels for Majorana models

Cross sections of $e\mu\pi$ channels for QD Dirac limit models

Cross sections of $e\mu\pi$ channels for QD Majorana limit models

Cross sections of $\mu\mu\pi$ channels for Dirac models

Cross sections of $\mu\mu\pi$ channels for Majorana models

Cross sections of $\mu\mu\pi$ channels for QD Dirac limit models

Cross sections of $\mu\mu\pi$ channels for QD Majorana limit models

Cross sections of $\mu e\pi$ channels for Dirac models

Cross sections of $\mu e\pi$ channels for Majorana models

Cross sections of $\mu e\pi$ channels for QD Dirac limit models

Cross sections of $\mu e\pi$ channels for QD Majorana limit models

Signal efficiencies for leptonic channels

Signal efficiencies for semi-leptonic channels

Distribution of $E_{\text{T}}^{\text{miss}}$ in SROS-on-b-$e\mu\mu$. The SR selections are applied for each distribution, except for the variable shown, for which the selection is indicated by a black arrow. The last bin includes the overflow. The `Others' category contains the production of Higgs boson, 3-top, 4-top, and single-top processes. Distributions for SBH signals are overlaid. The bottom panels show the ratio of the observed data to the predicted total background yields. The hatched band includes all statistical and systematic uncertainties.

Distribution of $m_{\text{T}}^{\text{min}}$ in SROS-on-b-$e\mu\mu$. The SR selections are applied for each distribution, except for the variable shown, for which the selection is indicated by a black arrow. The last bin includes the overflow. The `Others' category contains the production of Higgs boson, 3-top, 4-top, and single-top processes. Distributions for SBH signals are overlaid. The bottom panels show the ratio of the observed data to the predicted total background yields. The hatched band includes all statistical and systematic uncertainties.

Distribution of $E_{\text{T}}^{\text{miss}}$ in SRSS-$2\mu$. The SR selections are applied for each distribution, except for the variable shown, for which the selection is indicated by a black arrow. The last bin includes the overflow. The `Others' category contains the production of Higgs boson, 3-top, 4-top, and single-top processes. Distributions for SBH signals are overlaid. The bottom panels show the ratio of the observed data to the predicted total background yields. The hatched band includes all statistical and systematic uncertainties.

Observed ($N_{\text{obs}}$) and expected ($N_{\text{exp}}$) yields after the background-only fit for the flavor-merged inclusive SRs. The third and fourth columns list the 95\% CL upper limits on the visible cross-section ($\sigma_{\text{vis}}^{95}$) and on the number of signal events ($S_\text{obs}^{95}$). The fifth column ($S_\text{exp}^{95}$) shows the 95\% CL upper limit on the number of signal events, given the expected number of background events and its $\pm 1\sigma$ variations. The last two columns indicate the CL$_{\text{b}}$ value, i.e. the confidence level observed for the background-only hypothesis, and the discovery $p$-value ($p(s = 0)$) with its associated statistical significance $Z$. If the observed yield is below the expected yield, the $p$-value is capped at 0.5.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{e}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{e}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{e}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{e}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{e}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{e}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{\mu}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{\mu}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{\mu}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{\mu}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{\mu}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Observed and expected exclusion limits on the SBH model where only $\tilde{\mu}_{\text{L}}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100~GeV.

Distribution of $E_{\text{T}}^{\text{miss}}$ in SROS-off-b-$e\mu\mu$. The SR selections are applied for each distribution, except for the variable shown, for which the selection is indicated by a black arrow. The last bin includes the overflow. The `Others' category contains the production of Higgs boson, 3-top, 4-top, and single-top processes. Distributions for SBH signals are overlaid. The bottom panels show the ratio of the observed data to the predicted total background yields. Ratio values outside the graph range are indicated by brown arrows. The hatched band includes all statistical and systematic uncertainties.

Distribution of $m_{\text{T}}^{\text{min}}$ in SROS-off-b-$e\mu\mu$. The SR selections are applied for each distribution, except for the variable shown, for which the selection is indicated by a black arrow. The last bin includes the overflow. The `Others' category contains the production of Higgs boson, 3-top, 4-top, and single-top processes. Distributions for SBH signals are overlaid. The bottom panels show the ratio of the observed data to the predicted total background yields. Ratio values outside the graph range are indicated by brown arrows. The hatched band includes all statistical and systematic uncertainties.

Distribution of $E_{\text{T}}^{\text{miss}}$ in SRSS-$eee$. The SR selections are applied for each distribution, except for the variable shown, for which the selection is indicated by a black arrow. The last bin includes the overflow. The `Others' category contains the production of Higgs boson, 3-top, 4-top, and single-top processes. Distributions for SBH signals are overlaid. The bottom panels show the ratio of the observed data to the predicted total background yields. Ratio values outside the graph range are indicated by brown arrows. The hatched band includes all statistical and systematic uncertainties.

Distribution of $E_{\text{T}}^{\text{miss}}$ in SRSS-$ee\mu$. The SR selections are applied for each distribution, except for the variable shown, for which the selection is indicated by a black arrow. The last bin includes the overflow. The `Others' category contains the production of Higgs boson, 3-top, 4-top, and single-top processes. Distributions for SBH signals are overlaid. The bottom panels show the ratio of the observed data to the predicted total background yields. Ratio values outside the graph range are indicated by brown arrows. The hatched band includes all statistical and systematic uncertainties.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 150 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 150 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 150 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 150 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 150 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ is considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $m(\tilde{\ell}_{\text{L}}^{\pm})$ vs $m(\tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 150 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $\Delta m(\tilde{\chi}^0_3, \tilde{\chi}^0_1)$ vs $\Delta m(\tilde{\ell}_{\text{L}}, \tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $\Delta m(\tilde{\chi}^0_3, \tilde{\chi}^0_1)$ vs $\Delta m(\tilde{\ell}_{\text{L}}, \tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $\Delta m(\tilde{\chi}^0_3, \tilde{\chi}^0_1)$ vs $\Delta m(\tilde{\ell}_{\text{L}}, \tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $\Delta m(\tilde{\chi}^0_3, \tilde{\chi}^0_1)$ vs $\Delta m(\tilde{\ell}_{\text{L}}, \tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $\Delta m(\tilde{\chi}^0_3, \tilde{\chi}^0_1)$ vs $\Delta m(\tilde{\ell}_{\text{L}}, \tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100 GeV.

Observed and expected exclusion limits on the SBH model where mass-degenerate $\tilde{e}_{\text{L}}$, $\tilde{\mu}_{\text{L}}$ and $\tilde{\nu}$ are considered. The expected 95% CL exclusion limit is shown as a dashed black line, with the yellow band indicating $\pm1\sigma_{\text{exp}}$ including all uncertainties except for the signal cross-section uncertainty. The observed 95% CL exclusion limit is shown as a red solid line, with the dotted red lines indicating $\pm1\sigma_{\text{theory}}$ due to the signal cross-section uncertainty. The limits are shown projected onto the $\Delta m(\tilde{\chi}^0_3, \tilde{\chi}^0_1)$ vs $\Delta m(\tilde{\ell}_{\text{L}}, \tilde{\chi}^0_3)$ plane, with $m(\tilde{\chi}^0_1)$ assumed to be 100 GeV.

The expected upper limits on the cross-section for each signal point. The gray numbers represent the values. The expected (dashed) and observed (solid) 95% CL exclusion limits are overlaid. An asymptotic approximation is employed in the CL$_{\text{s}}$ calculation instead of the full calculation using pseudo-experiments.

The observed upper limits on the cross-section for each signal point. The gray numbers represent the values. The expected (dashed) and observed (solid) 95% CL exclusion limits are overlaid. An asymptotic approximation is employed in the CL$_{\text{s}}$ calculation instead of the full calculation using pseudo-experiments.

Acceptance for signals with $m(\tilde{\chi}^0_1)=100$ GeV in flavored-merged SRs. The acceptance is given by the ratio of weighted selected events in the SR to the weighted total number of generated events. The selection is based on generator-level particle information.

Acceptance for signals with $m(\tilde{\chi}^0_1)=100$ GeV in flavored-merged SRs. The acceptance is given by the ratio of weighted selected events in the SR to the weighted total number of generated events. The selection is based on generator-level particle information.

Acceptance for signals with $m(\tilde{\chi}^0_1)=100$ GeV in flavored-merged SRs. The acceptance is given by the ratio of weighted selected events in the SR to the weighted total number of generated events. The selection is based on generator-level particle information.

Acceptance for signals with $m(\tilde{\chi}^0_1)=100$ GeV in flavored-merged SRs. The acceptance is given by the ratio of weighted selected events in the SR to the weighted total number of generated events. The selection is based on generator-level particle information.

Acceptance for signals with $m(\tilde{\chi}^0_1)=100$ GeV in flavored-merged SRs. The acceptance is given by the ratio of weighted selected events in the SR to the weighted total number of generated events. The selection is based on generator-level particle information.

Acceptance for signals with $m(\tilde{\chi}^0_1)=100$ GeV in flavored-merged SRs. The acceptance is given by the ratio of weighted selected events in the SR to the weighted total number of generated events. The selection is based on generator-level particle information.

Acceptance for signals with $m(\tilde{\chi}^0_1)=100$ GeV in flavored-merged SRs. The acceptance is given by the ratio of weighted selected events in the SR to the weighted total number of generated events. The selection is based on generator-level particle information.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Efficiencies for signals with $m(\tilde{\chi}^0_1)=100$ GeV in the $m_{3\ell}$ merged SRSFOS and SRSS. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. Efficiencies below 0.002% are rounded to 0. The efficiency values are affected by statistical fluctuations due to the limited number of events.

Summary of the number of events passing each selection for the $m(\tilde{\ell}_{\text{L}}^{\pm},\tilde{\chi}^0_3,\tilde{\chi}^0_1)=(300, 200, 100)$, $(550, 300, 100)$, $(450, 180, 100)$ GeV signal points, including all production processes. After the initial selections, the table is split into row blocks per inclusive region, and then further for each SR channel. Flavor-binned SRs are shown for SROS-on-b for reference. The generator level selections require to have two or more leptons.

Summary of the number of events passing each selection for the $m(\tilde{\ell}_{\text{L}}^{\pm},\tilde{\chi}^0_3,\tilde{\chi}^0_1)=(300, 200, 100)$, $(550, 300, 100)$, $(450, 180, 100)$ GeV signal points, including all production processes. After the initial selections, the table is split into row blocks per inclusive region, and then further for each SR channel. Flavor-binned SRs are shown for SROS-off-b for reference. The generator level selections require to have two or more leptons.

Summary of the number of events passing each selection for the $m(\tilde{\ell}_{\text{L}}^{\pm},\tilde{\chi}^0_3,\tilde{\chi}^0_1)=(300, 200, 100)$, $(550, 300, 100)$, $(450, 180, 100)$ GeV signal points, including all production processes. After the initial selections, the table is split into row blocks per inclusive region, and then further for each SR channel. Flavor-binned SRs are shown. The generator level selections require to have two or more leptons.

The Charged-hadron yields as a function of pT in different y selections in p+Pb collisions.

The K^{0}_{S} yields as a function of pT in different y selections in Pb+Pb photo-nuclear collisions.

The #Lambda yields as a function of pT in different y selections in Pb+Pb photo-nuclear collisions.

The #Xi^{-} yields as a function of pT in different y selections in Pb+Pb photo-nuclear collisions.

The K^{0}_{S} yields as a function of pT in different y selections in p+Pb collisions.

The #Lambda yields as a function of pT in different y selections in p+Pb collisions.

The #Xi^{-} yields as a function of pT in different y selections in p+Pb collisions.

The Charged-hadron and identified-hadron yields as a function of y in Pb+Pb photo-nuclear collisions.

The Charged-hadron and identified-hadron yields as a function of y in Pb+Pb photo-nuclear collisions.

The Charged-hadron and identified-hadron yields as a function of y in p+Pb collisions.

The Charged-hadron and identified-hadron yields as a function of y in p+Pb collisions.

The meanpT of charged hadrons and identified hadrons as a function of Nchrec in Pb+Pb photo-nuclear collisions.

The meanpT of charged hadrons and identified hadrons as a function of Nchrec in Pb+Pb photo-nuclear collisions.

The meanpT of charged hadrons and identified hadrons as a function of Nchrec in Pb+Pb photo-nuclear collisions.

The meanpT of charged hadrons and identified hadrons as a function of Nchrec in p+Pb collisions.

The meanpT of charged hadrons and identified hadrons as a function of Nchrec in p+Pb collisions.

The baryon to meson ratio as a function of pT in Pb+Pb photo-nuclear collisions.

The baryon to meson ratio as a function of pT in Pb+Pb photo-nuclear collisions.

The baryon to meson ratio as a function of pT in p+Pb collisions.

The baryon to meson ratio as a function of pT in p+Pb collisions.

The ratios of identified-strange-hadron yield to charged-hadron yields as a function of Nchrec in Pb+Pb photo-nuclear collisions.

The ratios of identified-strange-hadron yield to charged-hadron yields as a function of Nchrec in Pb+Pb photo-nuclear collisions.

The ratios of identified-strange-hadron yield to charged-hadron yields as a function of Nchrec in Pb+Pb photo-nuclear collisions.

The ratios of identified-strange-hadron yield to charged-hadron yields as a function of Nchrec in p+Pb collisions.

The ratios of identified-strange-hadron yield to charged-hadron yields as a function of Nchrec in p+Pb collisions.

The observed EFT limits at 95% CL, shown for the linear+quadratic electron, muon, and combined fits.

The expected EFT limits at 95% CL, shown for the linear-only electron, muon, and combined fits. The PDF eigenvectors in the theoretical uncertainty are used at 68% CL.

The expected EFT limits at 95% CL, shown for the linear+quadratic electron, muon, and combined fits. The PDF eigenvectors in the theoretical uncertainty are used at 68% CL.

The observed EFT limits at 95% CL, shown for the linear-only electron, muon, and combined fits. The PDF eigenvectors in the theoretical uncertainty are used at 68% CL.

The observed EFT limits at 95% CL, shown for the linear+quadratic electron, muon, and combined fits. The PDF eigenvectors in the theoretical uncertainty are used at 68% CL.

Born-level single-differential cross section $\frac{d\sigma (W^+\to e^+\nu) }{d m_{\text{T}}^{W} } $ including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level single-differential cross section $\frac{d\sigma (W^-\to e^-\bar{\nu}) }{d m_{\text{T}}^{W} } $ including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level single-differential cross section $\frac{d\sigma (W\to e\nu) }{d m_{\text{T}}^{W} } $ including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W^+\to e^+\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [200-300] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W^+\to e^+\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [300-425] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W^+\to e^+\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [425-600] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W^+\to e^+\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [600-900] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W^+\to e^+\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [900-2000] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W^-\to e^-\bar{\nu}) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [200-300] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W^-\to e^-\bar{\nu}) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [300-425] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W^-\to e^-\bar{\nu}) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [425-600] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W^-\to e^-\bar{\nu}) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [600-900] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W^-\to e^-\bar{\nu}) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [900-2000] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W\to e\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [200-300] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W\to e\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [300-425] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W\to e\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [425-600] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W\to e\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [600-900] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross section $\frac{d^2\sigma (W\to e\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [900-2000] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level single-differential cross-section $\frac{d\sigma (W^+\to\mu^+\nu) }{d m_{\text{T}}^{W} } $ including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level single-differential cross-section $\frac{d\sigma (W^-\to\mu^-\bar{\nu}) }{d m_{\text{T}}^{W} } $ including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level single-differential cross-section $\frac{d\sigma (W\to\mu\nu) }{d m_{\text{T}}^{W} } $ including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W^+\to\mu^+\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [200-300] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W^+\to\mu^+\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [300-425] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W^+\to\mu^+\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [425-600] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W^+\to\mu^+\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [600-900] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W^+\to\mu^+\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [900-2000] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W^-\to\mu^-\bar{\nu}) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [200-300] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W^-\to\mu^-\bar{\nu}) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [300-425] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W^-\to\mu^-\bar{\nu}) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [425-600] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W^-\to\mu^-\bar{\nu}) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [600-900] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W^-\to\mu^-\bar{\nu}) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [900-2000] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W\to\mu\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [200-300] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W\to\mu\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [300-425] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W\to\mu\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [425-600] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W\to\mu\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [600-900] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Born-level double-differential cross-section $\frac{d^2\sigma (W\to\mu\nu) }{d m_{\text{T}}^{W} d |\eta| } $ for $m_T^W$ = [900-2000] GeV including the absolute statistical and systematic uncertainties. Symmetric uncertainties are denoted by $\pm$ or $\mp$, where the upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level single-differential cross-section including the absolute statistical and systematic uncertainties in the $\ell^+$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level single-differential cross-section including the absolute statistical and systematic uncertainties in the $\ell^-$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level single-differential cross-section including the absolute statistical and systematic uncertainties in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level single-differential cross-section including the absolute statistical and systematic uncertainties in the $\ell^+$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level single-differential cross-section including the absolute statistical and systematic uncertainties in the $\ell^-$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level single-differential cross-section including the absolute statistical and systematic uncertainties in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[200,300]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[300,425]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[425,600]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[600,900]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[900,2000]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[200,300]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[300,425]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[425,600]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[600,900]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[900,2000]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[200,300]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[300,425]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[425,600]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[600,900]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[900,2000]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Physical sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The systematic uncertainties are related to the unfolding procedure (``unf.''), the jet energy scale/resolution (``JER/JES''), the \met scale and resolution, the electron and muon scale, resolution and efficiency (``Eff.''), the multijet and $t\bar{t}$ (where $t\bar{t}$ RW refers to a reweighting to NNLO) background estimates and normalization of small background processes (``Norm.''). The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[200,300]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[300,425]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[425,600]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[600,900]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[900,2000]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[200,300]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[300,425]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[425,600]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[600,900]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[900,2000]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[200,300]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[300,425]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[425,600]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[600,900]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Combined Born-level double-differential cross-section including the absolute statistical and systematic uncertainties for $m_T^W=[900,2000]\,\mathrm{GeV}$ in the $\ell^\pm$-channel. Orthogonal sources of systematic uncertainties are shown. The upper sign corresponds to the one standard deviation upward shift of the uncertainty source. The luminosity uncertainty of $0.83\%$ is not included.

Ratio of the $e^\pm$- and $\mu^\pm$-channel single-differential cross sections including the absolute data statistical, $e$-$\mu$-uncorrelated (including signal and background statistical) and $e$-$\mu$-correlated systematic uncertainties and the total uncertainty.

Ratio of the $e^\pm$- and $\mu^\pm$-channel double-differential cross sections including the absolute data statistical, $e$-$\mu$-uncorrelated (including signal and background statistical) and $e$-$\mu$-correlated systematic uncertainties and the total uncertainty.

Asymmetry of the $\ell^+$- and $\ell^-$-channel single-differential cross-sections including the absolute total statistical and $\ell^+$-$\ell^-$-correlated systematic uncertainties and the total uncertainty.

Asymmetry of the $\ell^+$- and $\ell^-$-channel double-differential cross sections including the absolute total statistical and $\ell^+$-$\ell^-$-correlated systematic uncertainties and the total uncertainty.

The contour for the excluded mass--lifetime region for stau pair production obtained with the di-track search. All masses and lifetimes shown that are below the curve and above 200 GeV are excluded by the observed data (while the expected exclusion is between the upper curve down to 210 GeV for lifetimes above 3000 ns). The sensitivity extends indefinitely to longer lifetimes.

The contour for the excluded mass--lifetime region for stau pair production obtained with the di-track search. All masses and lifetimes shown that are below the curve and above 200 GeV are excluded by the observed data (while the expected exclusion is between the upper curve down to 210 GeV for lifetimes above 3000 ns). The sensitivity extends indefinitely to longer lifetimes.

The contour for the excluded mass--lifetime region for stau pair production obtained with the di-track search. All masses and lifetimes shown that are below the curve and above 200 GeV are excluded by the observed data (while the expected exclusion is between the upper curve down to 210 GeV for lifetimes above 3000 ns). The sensitivity extends indefinitely to longer lifetimes.

The distribution of data and predicted background in the di-track Exclusion-SR. The observed data events are indicated as magenta circles if they are inside the mass-compatibility angle (shown as grey lines) and as orange diamonds if they are outside, while the blue area is the mass distribution of the expected background. The last bins include overflow events

The distribution of data and predicted background in the di-track Exclusion-SR. The observed data events are indicated as magenta circles if they are inside the mass-compatibility angle (shown as grey lines) and as orange diamonds if they are outside, while the blue area is the mass distribution of the expected background. The last bins include overflow events

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 3 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 3 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 3 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 3 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 3 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 3 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 10 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 10 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 10 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 10 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 10 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 10 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 30 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 30 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 30 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 30 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 30 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with 30 ns lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with a detector-stable lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with a detector-stable lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with a detector-stable lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with a detector-stable lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with a detector-stable lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus mass for staus with a detector-stable lifetime.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 200 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 200 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 200 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 200 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 200 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 200 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 300 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 300 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 300 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 300 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 300 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 300 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 400 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 400 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 400 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 400 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 400 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 400 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 500 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 500 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 500 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 500 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 500 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 500 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 600 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 600 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 600 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 600 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 600 GeV staus.

The 95\% CL exclusion limits from the di-track search on cross-section versus lifetime for 600 GeV staus.

Suppl. Fig. 7. The reconstructed shower angle for all single photon events. The individual signal and background event type categories added together form the unconstrained prediction.

Suppl. Fig. 7. The constrained covariance matrix for the reconstructed shower angle for all single-photon events. The matrix shows uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Data statistical uncertainties are not included. An example of how to add Pearson data statistical uncertainties can be found in the example code repository.

Suppl. Fig. 7. The unconstrained covariance matrix for reconstructed shower angle for all single-photon events. The matrix shows uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Data statistical uncertainties are not included. An example of how to add Pearson data statistical uncertainties can be found in the example code repository.

Fig. 3. The reconstructed number of protons, with a proton KE energy threshold of 35 MeV, for all single-photon events. The individual signal and background event type categories added together form the unconstrained prediction.

Fig. 4, Suppl. Fig. 8. The reconstructed shower energy for zero proton events binned from 0 to 600 MeV. The individual signal and background event type categories added together form the unconstrained prediction.

Fig. 4. The constrained covariance matrix for the reconstructed shower energy for zero proton events binned from 0 to 600 MeV. The matrix shows uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Data statistical uncertainties are not included. An example of how to add Pearson data statistical uncertainties can be found in the example code repository.

Fig. 4. The unconstrained covariance matrix for reconstructed shower energy for zero proton events binned from 0 to 600 MeV. The matrix shows uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Data statistical uncertainties are not included. An example of how to add Pearson data statistical uncertainties can be found in the example code repository.

Fig. 6. The reconstructed shower energy for zero proton events binned from 150 to 1250 MeV, with LEE prediction. The individual signal and background event type categories added together form the unconstrained prediction. The "LEE" category is the unfolded MiniBooNE LEE model prediction scaled under the neutrino-target nucleon interaction assumption.

Fig. 6. The constrained covariance matrix for the reconstructed shower energy for zero proton events binned from 150 to 1250 MeV. Both with and without the LEE model added. The matrix shows uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Data statistical uncertainties are not included. An example of how to add Pearson data statistical uncertainties can be found in the example code repository.

Fig. 6. The unconstrained covariance matrix for reconstructed shower energy for zero proton events binned from 150 to 1250 MeV. Both with and without the LEE model added. The matrix shows uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Data statistical uncertainties are not included. An example of how to add Pearson data statistical uncertainties can be found in the example code repository.

Suppl. Fig. 10. The reconstructed shower backwards projected distance for zero proton events. The individual signal and background event type categories added together form the unconstrained prediction.

Suppl. Fig. 9. The reconstructed shower angle for zero proton events. Includes LEE model prediction. The individual signal and background event type categories added together form the unconstrained prediction. The "LEE" category is the unfolded MiniBooNE LEE model prediction scaled under the neutrino-target nucleon interaction assumption.

Suppl. Fig. 9. The constrained covariance matrix for the reconstructed shower angle for zero proton events. The matrix shows uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Data statistical uncertainties are not included. An example of how to add Pearson data statistical uncertainties can be found in the example code repository.

Suppl. Fig. 9. The unconstrained covariance matrix for reconstructed shower angle for zero proton events. The matrix shows uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Data statistical uncertainties are not included. An example of how to add Pearson data statistical uncertainties can be found in the example code repository.

1$\gamma$Xp shower energy and angle selection efficiencies for true 1$\gamma$Xp events. NaN values indicate a "divide by zero" case where zero events were present in the bin before any selection was applied. Energy and Angle values represent bin lower edges.

1$\gamma$0p shower energy and angle selection efficiencies for true single-photon events with no other true particles of any energy. NaN values indicate a "divide by zero" case where zero events were present in the bin before any selection was applied. Energy and Angle values represent bin lower edges.