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.

Observed profile likelihood as a function of $\sigma\times\mathcal{B}_{H\rightarrow WW^{*}}$ normalised by the SM expectation for the single-channel measurements

Two-dimensional likelihood scan of the measured values of $\sigma_{ZH}\times\mathcal{B}_{H\rightarrow WW^{*}}$ vs. $\sigma_{WH}\times\mathcal{B}_{H\rightarrow WW^{*}}$.

The observed values of the background normalisation factors for the combined 2-POI fit. The uncertainties correspond to the total of all statistical and systematic sources.

Measured cross sections times the $H\rightarrow WW^{*}$ branching ratio for the $p_T^V$ scheme.

Measured cross sections times the $H\rightarrow WW^{*}$ branching ratio for the STXS scheme. Note: the uncertainties of "-0" are due to the confidence interval reaching the minimum allowed value of the POI.

Correlation matrix of the POIs and normalisation factors for the 2-POI inclusive analysis

Correlation matrix of the parameters of interest, normalisation factors and nuissance parameters for the $p_T^V$ scheme

Correlation matrix of the parameters of interest, normalisation factors and nuissance parameters for the STXS scheme

Event data from Z-dominated SR

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 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.

The cutflow table for $N1$ and $N2$ signal samples for different mass points. The samples consist of both $ee$ and $\mu\mu$ final states in equal ratio. Each sample is normalized to a total cross-section of 0.1 pb. The abbreviations used in the table are, SC = Same Charge, SF = Same Flavor.

The cutflow table for $N3$ signal samples for different mass points. The samples consist of both $ee$ and $\mu\mu$ final states in equal ratio. Each sample is normalized to a total cross-section of 10 pb. The abbreviations used in the table are, SS = Same Charge, SF = Same Flavor.

Expected and observed upper limits on the strength of HNL mixing with electron neutrinos

Expected and observed upper limits on the strength of HNL mixing with muon neutrinos

Expected and observed upper limits on the strength of HNL mixing with tau neutrinos

Signal selection efficiency times acceptance for charged Higgs boson with masses between $60\,$GeV to $168\,$GeV. The efficiency times acceptance drops at high masses rapidly due to the low momentum of the $b$-quark produced together with the charged Higgs boson. For the $168\,$GeV mass point the efficiency times acceptance is larger than for the $160\,$GeV mass point due to having a higher probability that the top quark, which decays into the charged Higgs boson and a $b$-quark, is off-shell.

Best fit values of $\mu_{t\bar{t}}$ and $f_{\mathrm{HF}}$ parameters at charged Higgs masses between $60\,$GeV and $168\,$GeV.

The pNN input variable visible transverse momentum $p_{\mathrm{T}}^{\mathrm{vis}}(\mu\tau_{\mathrm{had}})$ is shown in the SR with no cut on the pNN discriminant. The signal shape is normalized to the same integral as the total background prediction. Overflow events are included in the last bins.

The pNN input variable transverse mass $m_{\mathrm{T}}(\mu,E_{\mathrm{T}}^{\mathrm{miss}})$ is shown in the SR with no cut on the pNN discriminant. The signal shape is normalized to the same integral as the total background prediction. Overflow events are included in the last bins.

The pNN input variable MMC mass $m^{\mathrm{MMC}}(bb\tau\tau)$ is shown in the SR with no cut on the pNN discriminant. The signal shape is normalized to the same integral as the total background prediction. Overflow events are included in the last bins.

Mass distribution of the $\tau^+\tau^-$ system for each of the generated MC signal mass points for the $\mu\tau_{\mathrm{h}}$ category. All distributions are normalized assuming $\mathcal{B}(H\rightarrow aa\rightarrow b\bar{b}\tau^+\tau^-)=10\%$.

Mass distribution of the $\tau^+\tau^-$ system for each of the generated MC signal mass points for the $e\mu$ category. All distributions are normalized assuming $\mathcal{B}(H\rightarrow aa\rightarrow b\bar{b}\tau^+\tau^-)=10\%$.

The pNN spectrum in the three bins are shown separately for each mass hypothesis in the ($e\mu$, $1b$) category. The signal shape (normalized to $\mathcal{B}(H\rightarrow aa\rightarrow b\bar{b}\tau^+\tau^-)=1$) for each corresponding mass hypothesis is overlaid on top of the SM prediction. Bins used for different $m_a$ hypotheses are not statistically independent.

The pNN spectrum in the three bins are shown separately for each mass hypothesis in the ($\mu\tau_{\mathrm{had}}$,$2b$) category. The signal shape (normalized to $\mathcal{B}(H\rightarrow aa\rightarrow b\bar{b}\tau^+\tau^-)=1$) for each corresponding mass hypothesis is overlaid on top of the SM prediction. Bins used for different $m_a$ hypotheses are not statistically independent.

The pNN spectrum in the three bins are shown separately for each mass hypothesis in the ($e\mu$,$1B$) category. The signal shape (normalized to $\mathcal{B}(H\rightarrow aa\rightarrow b\bar{b}\tau^+\tau^-)=1$) for each corresponding mass hypothesis is overlaid on top of the SM prediction. Bins used for different $m_a$ hypotheses are not statistically independent.

The pNN spectrum in the three bins are shown separately for each mass hypothesis in the ($e\tau_{\mathrm{had}}$,$2b$) category. The signal shape (normalized to $\mathcal{B}(H\rightarrow aa\rightarrow b\bar{b}\tau^+\tau^-)=1$) for each corresponding mass hypothesis is overlaid on top of the SM prediction. Bins used for different $m_a$ hypotheses are not statistically independent.

The observed (solid) 95% C.L. upper limits on $(\sigma(H)/\sigma_{\mathrm{SM}}(H)) \mathcal{B}(H\rightarrow aa\rightarrow b\bar{b}\tau^+\tau^-)$ as a function of $m_a$ and the expected (dashed) limits under the background-only hypothesis when combining all categories. The inner green and outer yellow shaded bands show the $\pm 1\sigma$ and $\pm 2\sigma$ uncertainties of the expected limits.

The observed (solid) 95% C.L. upper limits on $(\sigma(H)/\sigma_{\mathrm{SM}}(H)) \mathcal{B}(H\rightarrow aa\rightarrow b\bar{b}\tau^+\tau^-)$ as a function of $m_a$ and the expected (dashed) limits under the background-only hypothesis when considering different categories based on the heavy-flavor objects separately. When the category is not used for a mass hypothesis, the limit is listed as zero.

Pre-fit background composition of the SR$3\ell$ Prod. The table shows the event yields as opposed to just the percentages of the relevant background processes.

Post-fit plot of $H_\text{T}(\text{jets})$ in the SR$2\ell$ Dec from a signal-blinded background-only fit.

Post-fit plot of $m(t_\text{SM}, b\text{-jet}_0)$ in the SR$2\ell$ Prod from a signal-blinded background-only fit.

Post-fit plot of $m(\ell_\text{OS},\ell_\text{SS,1})$ in the SR$3\ell$ Dec from a signal-blinded background-only fit.

Post-fit plot of $m(\ell_\text{OS},\ell_\text{SS,1})$ in the SR$3\ell$ Prod from a signal-blinded background-only fit.

Post-fit plot of $D_\text{NN}(tHc)$ in the SR$2\ell$ Dec from the full fit to data.

Post-fit plot of $D_\text{NN}(tHc)$ in the SR$2\ell$ Prod from the full fit to data.

Post-fit plot of $D_\text{NN}(tHc)$ in the SR$3\ell$ Dec from the full fit to data.

Post-fit plot of $D_\text{NN}(tHc)$ in the SR$3\ell$ Prod from the full fit to data.

Post-fit plot of $p_\text{T}(\ell_1)$ in the CR$2\ell$ HF$e$ from the full fit to data.

Post-fit plot of $p_\text{T}(\ell_1)$ in the CR$2\ell$ HF$\mu$ from the full fit to data.

Post-fit plot of $p_\text{T}(\ell_1)$ in the CR$2\ell$ $t\bar{t}V$ from the full fit to data.

Post-fit plot of $p_\text{T}(\ell_2)$ in the CR$3\ell$ HF$e$ from the full fit to data.

Post-fit plot of $p_\text{T}(\ell_2)$ in the CR$3\ell$ HF$\mu$ from the full fit to data.

Post-fit plot of $p_\text{T}(b\text{-jet}_0)$ in the CR$3\ell$ $t\bar{t}W$ from the full fit to data.

Post-fit plot of $p_\text{T}(b\text{-jet}_0)$ in the CR$3\ell$ $t\bar{t}Z$ from the full fit to data.

Observed and expected upper exclusion limits on the branching ratio $\mathcal{B}(t\to Hu)$ for different analyses and their statistical combination.

Observed and expected upper exclusion limits on the branching ratio $\mathcal{B}(t\to Hc)$ for different analyses and their statistical combination.

Post-fit normalisation factors of free-floating background processes and the signal normalisation.

Post-fit predicted and observed yields in all $2\ell$SS signal and control regions. Pre-fit signal contributions for a signal cross section equivalent to $\mathcal{B}(t\to Hq)=0.1\,\%$ are given as well.

Post-fit predicted and observed yields in all $3\ell$ signal and control regions. Pre-fit signal contributions for a signal cross section equivalent to $\mathcal{B}(t\to Hq)=0.1\,\%$ are given as well.

Expected upper limits on $\mathcal{B}(t\to Hq)$ for the nominal fit and alternative fit configurations. One contains the full phase space but only considers statistical uncertainties. Two other configurations consider the full set of systematic uncertainties, but only encompass one final state.

Expected and observed upper limits on $\mathcal{B}(t\to Hq)$ and $|C_{u\phi}^{qt,tq}|$ for the full fit containing all systematic uncertainties.

Pre-fit plot of $H_\text{T}(\text{jets})$ in the SR$2\ell$ Dec from a signal-blinded background-only fit.

Pre-fit plot of $m(t_\text{SM}, b\text{-jet}_0)$ in the SR$2\ell$ Prod from a signal-blinded background-only fit.

Pre-fit plot of $m(\ell_\text{OS},\ell_\text{SS,1})$ in the SR$3\ell$ Dec from a signal-blinded background-only fit.

Pre-fit plot of $m(\ell_\text{OS},\ell_\text{SS,1})$ in the SR$3\ell$ Prod from a signal-blinded background-only fit.

Post-fit plot of $D_\text{NN}(tHu)$ in the SR$2\ell$ Dec from the full fit to data.

Post-fit plot of $D_\text{NN}(tHu)$ in the SR$2\ell$ Prod from the full fit to data.

Post-fit plot of $D_\text{NN}(tHu)$ in the SR$3\ell$ Dec from the full fit to data.

Post-fit plot of $D_\text{NN}(tHu)$ in the SR$3\ell$ Prod from the full fit to data.

Pre-fit plot of $D_\text{NN}(tHc)$ in the SR$2\ell$ Dec from the full fit to data.

Pre-fit plot of $D_\text{NN}(tHc)$ in the SR$2\ell$ Prod from the full fit to data.

Pre-fit plot of $D_\text{NN}(tHc)$ in the SR$3\ell$ Dec from the full fit to data.

Pre-fit plot of $D_\text{NN}(tHc)$ in the SR$3\ell$ Prod from the full fit to data.

Pre-fit plot of $D_\text{NN}(tHu)$ in the SR$2\ell$ Dec from the full fit to data.

Pre-fit plot of $D_\text{NN}(tHu)$ in the SR$2\ell$ Prod from the full fit to data.

Pre-fit plot of $D_\text{NN}(tHu)$ in the SR$3\ell$ Dec from the full fit to data.

Pre-fit plot of $D_\text{NN}(tHu)$ in the SR$3\ell$ Prod from the full fit to data.

Pre-fit plot of $p_\text{T}(\ell_1)$ in the CR$2\ell$ HF$e$ from the full fit to data.

Pre-fit plot of $p_\text{T}(\ell_1)$ in the CR$2\ell$ HF$\mu$ from the full fit to data.

Pre-fit plot of $p_\text{T}(\ell_1)$ in the CR$2\ell$ $t\bar{t}V$ from the full fit to data.

Pre-fit plot of $p_\text{T}(\ell_2)$ in the CR$3\ell$ HF$e$ from the full fit to data.

Pre-fit plot of $p_\text{T}(\ell_2)$ in the CR$3\ell$ HF$\mu$ from the full fit to data.

Pre-fit plot of $p_\text{T}(b\text{-jet}_0)$ in the CR$3\ell$ $t\bar{t}W$ from the full fit to data.

Pre-fit plot of $p_\text{T}(b\text{-jet}_0)$ in the CR$3\ell$ $t\bar{t}Z$ from the full fit to data.

Ranking of fit nuisance parameters according to their impact on the post-fit $tHu$ signal normalisation when fixed to $\pm1\sigma$

Ranking of fit nuisance parameters according to their impact on the post-fit $tHc$ signal normalisation when fixed to $\pm1\sigma$

Expected upper exclusion limits on the branching ratio $\mathcal{B}(t\to Hu)$ for each individual final state and the full analysis.

Expected upper exclusion limits on the branching ratio $\mathcal{B}(t\to Hc)$ for each individual final state and the full analysis.

Observed event yields in $\textrm{SR}$ compared with post-fit expectations from Monte Carlo simulations, as a function of the scalar sum of lepton and jet transverse momenta, $H_{\mathrm{T}}$. The last bin includes overflow events. `Signal (prod.)' and `Signal (dec.)' refer to the single-top-quark production and top-quark pair decay signal contributions, respectively.

Expected and observed 95$\%$ CL upper limits on the branching ratio corresponding to the decay of a top quark to a muon and a tau lepton through a cLFV process for scalar, vector and tensor couplings. In the vector case, all vector operators are assumed to contribute simultaneously with the same effective coupling strength. The table shows the endpoint values of $\mathcal{B}(\mathrm{t}\to\mu\tau\mathrm{u})$ and $\mathcal{B}(\mathrm{t}\to\mu\tau\mathrm{c})$, which are interpolated linearly for each limit.

Expected and observed 95$\%$ CL upper limits on the Wilson coefficients for scalar, vector and tensor couplings of a top quark to a muon and a tau lepton through a cLFV process. In the vector case, all vector operators are assumed to contribute simultaneously with the same effective coupling strength. The table shows the endpoint values of the $|c^{\mu\tau\mathrm{ut}}|$ and $|c^{\mu\tau\mathrm{ct}}|$ Wilson coefficients, which are interpolated assuming a linear relationship between $\mathcal{B}(\mathrm{t}\to\mu\tau\mathrm{u})$ and $\mathcal{B}(\mathrm{t}\to\mu\tau\mathrm{c})$.

Observed event yields in $\textrm{SR}$ compared with pre-fit expectations from Monte Carlo simulations, as a function of the scalar sum of lepton and jet transverse momenta, $H_{\mathrm{T}}$. The last bin includes overflow events. The signal yields represent a leptoquark mass of $m_{S_{1}} = 1$ TeV and a coupling strength of $\lambda^{\textrm{LQ}} = 2.0$.

Observed event yields in $\textrm{SR}$ compared with post-fit expectations from Monte Carlo simulations, as a function of the scalar sum of lepton and jet transverse momenta, $H_{\mathrm{T}}$. The last bin includes overflow events. The signal yields represent a leptoquark mass of $m_{S_{1}} = 1$ TeV and a coupling strength of $\lambda^{\textrm{LQ}} = 2.0$.

Observed and expected exclusion 95$\%$ CL upper limits on the $S_{1}$ leptoquark coupling strength $\lambda^{\textrm{LQ}}$ as a function of LQ mass, $m_{S_{1}}$.

Theoretical cross-sections for single-top-quark production and top-quark decays through cLFV interactions involving vector, scalar and tensor EFT Wilson coefficients. The column titled as $c^{(ijk3)}_{\textrm{vector}}$ represents the individual cross-section contributions from each of $c_{\mathsf{lq}}^{-(ijk3)}$, $c_{\mathsf{eq}}^{(ijk3)}$, $c_{\mathsf{lu}}^{(ijk3)}$ and $c_{\mathsf{eu}}^{(ijk3)}$. The coefficient indices represent the lepton flavour generations ($i,j = 1,2,3$ where $i \neq j$) and light quark flavour generations ($k = 1,2$). The single-top-quark production cross-sections are quoted for $u$- and $c$-quark couplings separately, while they are combined for the $t\bar{t}$ decay process ($q_k = u,c$). The scale and PDF uncertainties are given. The value of each Wilson coefficient is set to 1.0 for the calculation of the cross-section.

Requirements for each analysis region. The symbol $\ell_{3}$ denotes the lowest $p_{\mathrm{T}}$ lepton. In $\mathrm{CR}t\bar{t}\mu$ an additional requirement is placed on the leading muon $p_{\mathrm{T}}$ ($p^{\mu_1}_\mathrm{T}$) and dilepton invariant masses in order to reject signal events.

Post-fit event yields for each analysis region entering the fit, with correlations on the full systematic uncertainties taken into account as determined in the fit under a signal+background hypothesis. The 'fake electron' category in the CR$t\bar{t}\mu$ control region collects small contributions primarily from $t\bar{t}\gamma$ and $Z\gamma$ which enter the event selection due to photon conversions.

Expected and observed 95$\%$ CL upper limits on Wilson coefficients corresponding to 2Q2L EFT operators which could introduce a cLFV top decay in the $\mu\tau$ channel, and existing limits from JHEP04 (2019) 014 (previous). The previous limits shown for $c^{1(ijk3)}_{\mathsf{lequ}}$ and $c^{3(ijk3)}_{\mathsf{lequ}}$ are tightened by a factor of $\sqrt{2}$, as JHEP04 (2019) 014 does not assume that these operators are Hermitian. Results are shown separately for the $\mu\tau ut$ and $\mu\tau ct$ interactions. The lepton generations are denoted by $i,j=2,3$ for $\mu$ and $\tau$ (where $i \neq j$) and the quark generations are denoted by $k=1,2$ for $u$ and $c$, respectively.

Expected and observed 95$\%$ CL upper limits on the branching ratio ($\mathcal{B}$) corresponding to the decay of a top quark to a muon and a $\tau$ lepton through a cLFV process using specific Wilson coefficients corresponding to 2Q2L EFT operators. Results are shown separately for $\mu\tau ut$ and $\mu\tau ct$ interactions. The lepton generations are denoted by $i,j=2,3$ for $\mu$ and $\tau$ (where $i \neq j$) and the quark generations are denoted by $k=1,2$ for $u$ and $c$, respectively.

Expected and observed 95% CL upper limits on the inclusive branching ratio ($\mathcal{B}$) corresponding to the decay of a top quark to a muon and a $\tau$-lepton through a cLFV process. Limits are shown for the statistical uncertainty only and for the full set of statistical and systematic uncertainties.

Expected and observed 95$\%$ CL upper limits on the Wilson coefficients corresponding to EFT operators inducing the decay of a top quark to a muon, a tau lepton and an up quark through a cLFV process ($\mu\tau ut$ interaction).

Expected and observed 95$\%$ CL upper limits on the Wilson coefficients corresponding to EFT operators inducing the decay of a top quark to a muon, a tau lepton and a charm quark through a cLFV process ($\mu\tau ct$ interaction).

Ranking of nuisance parameters by post-fit impact on cLFV signal strength $\mu$ (the parameter of interest, POI). The pre-fit (post-fit) impact of each nuisance parameter is calculated as the difference to the fitted value of cLFV signal strength between the nominal fit and a fit when fixing the corresponding nuisance parameter to $\hat{\theta}\pm\Delta\theta$ ($\hat{\theta}\pm\Delta\hat{\theta}$), where $\hat{\theta}$ is the best-fit value of the nuisance parameter and $\Delta\theta$ ($\Delta\hat{\theta}$) is its pre-fit (post-fit) uncertainty. The pulls of the nuisance parameters are calculated relative to zero. These pulls and their post-fit errors, $\Delta\hat{\theta} / \Delta\theta$, are given in the second column of the table.

Fraction of events where both bosons are longitudinally polarized in the region with $p_T^Z>200$ GeV using two unconstrained parameters.

Numbers of observed and expected events in the 00-enhanced signal regions, before the fit. The total uncertainties are quoted.

Summary of the relative uncertainties in the measured longitudinal-longitudinal fractions $f_{00}$. The uncertainties are reported as percentages.

Numbers of observed and expected events in the 00-enhanced signal regions, after the fit. The total uncertainties are quoted.

$|\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 20$ GeV of the TT state.

$|\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 40$ GeV of the TT state.

$|\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 70$ GeV of the TT state.

$|\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 20$ GeV of of the sum of all polarization.

$|\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 40$ GeV of of the sum of all polarization.

$|\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 70$ GeV of of the sum of all polarization.

$|\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 20$ GeV of the TT state.

$|\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 40$ GeV of the TT state.

$|\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 70$ GeV of the TT state.

$|\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 20$ GeV of of the sum of all polarization.

$|\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 40$ GeV of of the sum of all polarization.

$|\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 70$ GeV of of the sum of all polarization.

The $\mathcal{D}$ value for the unfolded $|\Delta Y(l_{W}Z)|$ distributions of the TT polarization state as a function of the $p_T^{WZ}$ cut value.

The $\mathcal{D}$ value for the unfolded $|\Delta Y(WZ)|$ distributions of the TT polarization state as a function of the $p_T^{WZ}$ cut value.

Measured normalized differential $|\Delta Y(l_{W}Z)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 20$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(l_{W}Z)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 40$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(l_{W}Z)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 70$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(WZ)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 20$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(WZ)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 40$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(WZ)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 70$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(l_{W}Z)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 20$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(l_{W}Z)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 40$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(l_{W}Z)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 70$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(WZ)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 20$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(WZ)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 40$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Measured normalized differential $|\Delta Y(WZ)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 70$ GeV. The total uncertainties are quoted. The last bin covers all events above the lower end of the bin.

Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<20$ GeV using $|\Delta Y(l_{W}Z)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<40$ GeV using $|\Delta Y(l_{W}Z)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<70$ GeV using $|\Delta Y(l_{W}Z)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<20$ GeV using $|\Delta Y(WZ)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<40$ GeV using $|\Delta Y(WZ)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<70$ GeV using $|\Delta Y(WZ)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<20$ GeV using $|\Delta Y(l_{W}Z)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<40$ GeV using $|\Delta Y(l_{W}Z)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<70$ GeV using $|\Delta Y(l_{W}Z)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<20$ GeV using $|\Delta Y(WZ)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<40$ GeV using $|\Delta Y(WZ)|$. The uncertainties are reported as percentages.

Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<70$ GeV using $|\Delta Y(WZ)|$. The uncertainties are reported as percentages.