Event yields after a background-only fit and data in the three signal regions. All the backgrounds except the fake $\tau_{\mathrm{had}}$ are estimated using the real $\tau_{\mathrm{had}}$ contributions from MC. The fake $\tau_{\mathrm{had}}$ background contribution is data-driven. The top-quark, $V$+jets, and small backgrounds are included in "Others". The total uncertainties include both systematic and statistical. In the $WW1\ell2\tau_{\mathrm{had}}$ channel, the smaller uncertainty in the total background than the fake $\tau_{\mathrm{had}}$ is due to the anticorrelations between the nuisance parameters of the fake $\tau_{\mathrm{had}}$ and diboson backgrounds obtained in the fit.

Uncertainties on $\sigma(pp\to X\to SH)$ obtained from the combined fit to the data for the least and most sensitive mass points. The uncertainties are symmetrised and grouped into the categories described in the systematic section.

Summary of observed and expected 95\% CL upper limits on the production cross-section of $\sigma(pp\to X\to SH)$ in fb in the combination of $WW$+$ZZ$, and in the $WW$ and $ZZ$ individual channels. The best expected limit is set to 85 fb for $m_{X}$ = 1250 GeV and $_{S}$ = 300 GeV. The combination limits gain about 26--53% over the best individual limit from the $WW1\ell2\tau_{\mathrm{had}}$ channel.

Feynman diagrams of $\mathrm{Z'}\to\mu^{-}\mu^{+}$ with a $\mathrm{Z'}$ boson produced via $\mathrm{s}\overline{\mathrm{b}}\to\mathrm{Z'}$, with one $\mathrm{b}$ quark and one $\overline{\mathrm{s}}$ quark in the final state.

Distribution of $\min(m_{\mu\mathrm{b}})$ as obtained from simulation in events with $N_{\mathrm{b}} \geq 1$ passing all the other selection requirements. In this search, we require $\min(m_{\mu\mathrm{b}})>175~\mathrm{GeV}$. The stacked histogram displays the expected distribution from the simulation of the SM backgrounds, while the overlaid open histograms illustrate the size and shape of the $\mathrm{Z'}$ contribution from the LFU model described in Eq. (1), for several $\mathrm{Z'}$ mass hypotheses. For illustrative purposes, we choose couplings $|g_{\ell}| = |g_{\nu}| = |g_{\mathrm{b}}| = 0.03$ and $\delta_{\mathrm{bs}}=0$. The contribution of background processes other than DY and $\mathrm{t}\overline{\mathrm{t}}$ is so small that it is only barely visible at the bottom of the stacked histogram. The hatched region indicates the statistical uncertainty arising from the limited size of the SM simulated samples. Histograms are normalized to unit area.

Distributions of $m_{\mu\mu}$ in the $N_{\mathrm{b}}=1$ event category. The stacked histogram displays the expected distribution from the SM background simulation. The overlaid open distributions illustrate the $\mathrm{Z'}$ contribution from the LFU model at $|g_{\ell}| = |g_{\nu}| = |g_{\mathrm{b}}| = 0.03$ and $\delta_{\mathrm{bs}}=0$ for a variety of $\mathrm{Z'}$ mass hypotheses. The observed data are shown as black points with statistical error bars. The hatched region indicates the statistical uncertainty arising from the limited size of the SM simulated samples. The size of the bins increases as a function of $m_{\mu\mu}$. In extracting the results of the search, the background is estimated directly from data, so the SM background simulation is only illustrative in these distributions.

Distributions of $m_{\mu\mu}$ in the $N_{\mathrm{b}}\geq 2$ event category. The stacked histogram displays the expected distribution from the SM background simulation. The overlaid open distributions illustrate the $\mathrm{Z'}$ contribution from the LFU model at $|g_{\ell}| = |g_{\nu}| = |g_{\mathrm{b}}| = 0.03$ and $\delta_{\mathrm{bs}}=0$ for a variety of $\mathrm{Z'}$ mass hypotheses. The observed data are shown as black points with statistical error bars. The hatched region indicates the statistical uncertainty arising from the limited size of the SM simulated samples. The size of the bins increases as a function of $m_{\mu\mu}$. In extracting the results of the search, the background is estimated directly from data, so the SM background simulation is only illustrative in these distributions.

Invariant mass $m_{\mu\mu}$ distributions in the $N_{\mathrm{b}} = 1$ category, shown together with the corresponding selected background functional forms used as input to the $discrete~profiling$ method when probing the $m_{\mathrm{Z'}}=500~\mathrm{GeV}$ hypothesis. The expected signal distribution for the LFU model described in Eq. (1), with couplings $|g_{\ell}| = |g_{\nu}| = |g_{\mathrm{b}}| = 0.03$ and $\delta_{\mathrm{bs}}=0$, is overlaid. The displayed mass range corresponds to the fit window used for this $m_{\mathrm{Z'}}$ hypothesis, which is $\pm 10\, \sigma_{\mathrm{mass}}$ around the probed $m_{\mathrm{Z'}}$ value. While the likelihood fits are performed on unbinned data, here we present the data in binned histograms with binning chosen to reflect the size of $\sigma_{\mathrm{mass}}$.

Invariant mass $m_{\mu\mu}$ distributions in the $N_{\mathrm{b}} \geq 2$ category, shown together with the corresponding selected background functional forms used as input to the $discrete~profiling$ method when probing the $m_{\mathrm{Z'}}=500~\mathrm{GeV}$ hypothesis. The expected signal distribution for the LFU model described in Eq. (1), with couplings $|g_{\ell}| = |g_{\nu}| = |g_{\mathrm{b}}| = 0.03$ and $\delta_{\mathrm{bs}}=0$, is overlaid. The displayed mass range corresponds to the fit window used for this $m_{\mathrm{Z'}}$ hypothesis, which is $\pm 10\, \sigma_{\mathrm{mass}}$ around the probed $m_{\mathrm{Z'}}$ value. While the likelihood fits are performed on unbinned data, here we present the data in binned histograms with binning chosen to reflect the size of $\sigma_{\mathrm{mass}}$.

Exclusion limits at $95\%$ CL on the number of selected BSM events with $N_{\mathrm{b}} \geq 1$ as functions of $m_{\mathrm{Z'}}$ for $f_{2\mathrm{b}}=0$. The quantity $f_{2\mathrm{b}}$ is the fraction of BSM events passing the analysis selection that have at least two $\mathrm{b}$ quark jets. The solid black (dashed red) curve represents the observed (median expected) exclusion. The inner green (outer yellow) band indicates the region containing $68~(95)\%$ of the distribution of limits expected under the background-only hypothesis.

Exclusion limits at $95\%$ CL on the number of selected BSM events with $N_{\mathrm{b}} \geq 1$ as functions of $m_{\mathrm{Z'}}$ for $f_{2\mathrm{b}}=0.25$. The quantity $f_{2\mathrm{b}}$ is the fraction of BSM events passing the analysis selection that have at least two $\mathrm{b}$ quark jets. The solid black (dashed red) curve represents the observed (median expected) exclusion. The inner green (outer yellow) band indicates the region containing $68~(95)\%$ of the distribution of limits expected under the background-only hypothesis.

Exclusion limits at $95\%$ CL on the number of selected BSM events with $N_{\mathrm{b}} \geq 1$ as functions of $m_{\mathrm{Z'}}$ for $f_{2\mathrm{b}}=0.75$. The quantity $f_{2\mathrm{b}}$ is the fraction of BSM events passing the analysis selection that have at least two $\mathrm{b}$ quark jets. The solid black (dashed red) curve represents the observed (median expected) exclusion. The inner green (outer yellow) band indicates the region containing $68~(95)\%$ of the distribution of limits expected under the background-only hypothesis.

Exclusion limits at $95\%$ CL on the number of selected BSM events with $N_{\mathrm{b}} \geq 1$ as functions of $m_{\mathrm{Z'}}$ for $f_{2\mathrm{b}}=1$. The quantity $f_{2\mathrm{b}}$ is the fraction of BSM events passing the analysis selection that have at least two $\mathrm{b}$ quark jets. The solid black (dashed red) curve represents the observed (median expected) exclusion. The inner green (outer yellow) band indicates the region containing $68~(95)\%$ of the distribution of limits expected under the background-only hypothesis.

Observed (solid) and median expected (dashed) exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution, marked by the dotted curves. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=350~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=350~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=350~\mathrm{GeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=500~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=500~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=500~\mathrm{GeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=700~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=700~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=700~\mathrm{GeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1~\mathrm{TeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1.5~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1.5~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1.5~\mathrm{TeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=2~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=2~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $\delta_{\mathrm{bs}}=0$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=2~\mathrm{TeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed (solid) and median expected (dashed) exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution, marked by the dotted curves. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=350~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=350~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=350~\mathrm{GeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=500~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=500~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=500~\mathrm{GeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=700~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=700~\mathrm{GeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=700~\mathrm{GeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1~\mathrm{TeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1.5~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1.5~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=1.5~\mathrm{TeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=2~\mathrm{TeV}$. The exclusion limits are given up to coupling values at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid. The enclosed regions are excluded.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{b}}|$--$|g_{\ell}|$ plane for the LFU model, with $|\delta_{\mathrm{bs}}|=0.25$ and $|g_{\nu}|=|g_{\ell}|$, for $m_{\mathrm{Z'}}=2~\mathrm{TeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width is equal to half of the $\mu\mu$ invariant mass resolution. Beyond these coupling values, the narrow width approximation intrinsic to the search strategy is not considered valid.

Exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=500~\mathrm{GeV}$. The solid black (dashed red) curves represent the observed (median expected) exclusions. The dotted curves denote the coupling values at which the $\mathrm{Z'}$ width equals one half of the $\mu\mu$ invariant mass resolution. For larger values of the couplings, the narrow width approximation intrinsic to the search strategy is not considered valid. The region enclosed between the solid black (dashed red) and dotted curves is (expected to be) excluded. The dotted curve for $m_{\mathrm{Z'}}=500~\mathrm{GeV}$ lies beyond the displayed $|g_{\mathrm{Z'}}|$ range and is, therefore, not shown. The shaded blue area represents the region preferred from the global fit in JHEP 04 (2023) 033 at $95\%$ CL. The region above the green dash-dotted curve is incompatible at $95\%$ CL with the measurement of the mass difference between the mass eigenstates of the neutral $\mathrm{B}_\mathrm{s}$ mesons.

Observed exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=500~\mathrm{GeV}$.

Expected exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=500~\mathrm{GeV}$.

Exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=1~\mathrm{TeV}$. The solid black (dashed red) curves represent the observed (median expected) exclusions. The dotted curves denote the coupling values at which the $\mathrm{Z'}$ width equals one half of the $\mu\mu$ invariant mass resolution. For larger values of the couplings, the narrow width approximation intrinsic to the search strategy is not considered valid. The region enclosed between the solid black (dashed red) and dotted curves is (expected to be) excluded. The shaded blue area represents the region preferred from the global fit in JHEP 04 (2023) 033 at $95\%$ CL. The region above the green dash-dotted curve is incompatible at $95\%$ CL with the measurement of the mass difference between the mass eigenstates of the neutral $\mathrm{B}_\mathrm{s}$ mesons.

Observed exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=1~\mathrm{TeV}$.

Expected exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=1~\mathrm{TeV}$.

Exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=1~\mathrm{TeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width equals one half of the $\mu\mu$ invariant mass resolution. For larger values of the couplings, the narrow width approximation intrinsic to the search strategy is not considered valid.

Exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=1.5~\mathrm{TeV}$. The solid black (dashed red) curves represent the observed (median expected) exclusions. The dotted curves denote the coupling values at which the $\mathrm{Z'}$ width equals one half of the $\mu\mu$ invariant mass resolution. For larger values of the couplings, the narrow width approximation intrinsic to the search strategy is not considered valid. The region enclosed between the solid black (dashed red) and dotted curves is (expected to be) excluded. The shaded blue area represents the region preferred from the global fit in JHEP 04 (2023) 033 at $95\%$ CL. The region above the green dash-dotted curve is incompatible at $95\%$ CL with the measurement of the mass difference between the mass eigenstates of the neutral $\mathrm{B}_\mathrm{s}$ mesons.

Observed exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=1.5~\mathrm{TeV}$.

Expected exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=1.5~\mathrm{TeV}$.

Exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=1.5~\mathrm{TeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width equals one half of the $\mu\mu$ invariant mass resolution. For larger values of the couplings, the narrow width approximation intrinsic to the search strategy is not considered valid.

Exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=2~\mathrm{TeV}$. The solid black (dashed red) curves represent the observed (median expected) exclusions. The dotted curves denote the coupling values at which the $\mathrm{Z'}$ width equals one half of the $\mu\mu$ invariant mass resolution. For larger values of the couplings, the narrow width approximation intrinsic to the search strategy is not considered valid. The region enclosed between the solid black (dashed red) and dotted curves is (expected to be) excluded. The shaded blue area represents the region preferred from the global fit in JHEP 04 (2023) 033 at $95\%$ CL. The region above the green dash-dotted curve is incompatible at $95\%$ CL with the measurement of the mass difference between the mass eigenstates of the neutral $\mathrm{B}_\mathrm{s}$ mesons.

Observed exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=2~\mathrm{TeV}$.

Expected exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=2~\mathrm{TeV}$.

Exclusion limits at $95\%$ CL in the $|\theta_{23}|$--$|g_{\mathrm{Z'}}|$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for $m_{\mathrm{Z'}}=2~\mathrm{TeV}$. The coupling values are shown at which the $\mathrm{Z'}$ width equals one half of the $\mu\mu$ invariant mass resolution. For larger values of the couplings, the narrow width approximation intrinsic to the search strategy is not considered valid.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{Z'}}|$--$m_{\mathrm{Z'}}$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for a fixed value of $\theta_{23}=0$. The solid black (dashed red) curve represents the observed (median expected) exclusion. The dotted curve denotes the coupling values at which the $\mathrm{Z'}$ width equals one half of the $\mu\mu$ invariant mass resolution. For larger values of the couplings, the narrow width approximation intrinsic to the search strategy is not considered valid. The region enclosed between the solid black (dashed red) and the dotted curves is (expected to be) excluded. The shaded blue area represents the $|g_{\mathrm{Z'}}|$ range preferred from a global fit in JHEP 04 (2023) 033 at $95\%$ CL.

Observed exclusion limits at $95\%$ CL in the $|g_{\mathrm{Z'}}|$--$m_{\mathrm{Z'}}$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for a fixed value of $\theta_{23}=0$.

Expected exclusion limits at $95\%$ CL in the $|g_{\mathrm{Z'}}|$--$m_{\mathrm{Z'}}$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for a fixed value of $\theta_{23}=0$.

Exclusion limits at $95\%$ CL in the $|g_{\mathrm{Z'}}|$--$m_{\mathrm{Z'}}$ plane for the $B_{3}\!-\!L_{2}$ model from JHEP 04 (2023) 033, for a fixed value of $\theta_{23}=0$. The coupling values are shown at which the $\mathrm{Z'}$ width equals one half of the $\mu\mu$ invariant mass resolution. For larger values of the couplings, the narrow width approximation intrinsic to the search strategy is not considered valid.

Values of $\Delta Z$ for the discovery sensitivity, as defined in the text, as a function of the invariant mass $\textit{m}$. The j+b-jet invariant mass distribution is calculated in the 10 pb AR. Positive percentages indicate improvements in sensitivity. Horizontal dashed lines are drawn at 100% and 200% to guide the eye. The five benchmark BSM models are (1) charged Higgs boson production in association with a top quark, $tbH^{+}$ with $H^{+} \rightarrow t\bar{b}$; (2) a Kaluza-Klein gauge boson, $W_{KK}$, with the SM $W$ boson and a radion $\phi$; (3) a $Z'$ boson decaying to a composite lepton $E$ and $\ell$, with $E \rightarrow Z\ell$; (4) the sequential standard model $W' \rightarrow W Z' \rightarrow \ell\nu q\bar{q}$; (5) a simplified dark-matter model with an axial-vector mediator $Z' \rightarrow q\bar{q}$, where one of the quarks radiates a $W$ boson decaying to $\ell\nu$. The multiple markers shown for the composite-lepton model at the same invariant mass values correspond to different composite lepton ($E$) masses between 0.25 and 3.5 TeV. The center positions of the markers are set to the masses of the corresponding heavy particles.

Values of $\Delta Z$ for the discovery sensitivity, as defined in the text, as a function of the invariant mass $\textit{m}$. The 2b-jet invariant mass distribution is calculated in the 10 pb AR. Positive percentages indicate improvements in sensitivity. Horizontal dashed lines are drawn at 100% and 200% to guide the eye. The five benchmark BSM models are (1) charged Higgs boson production in association with a top quark, $tbH^{+}$ with $H^{+} \rightarrow t\bar{b}$; (2) a Kaluza-Klein gauge boson, $W_{KK}$, with the SM $W$ boson and a radion $\phi$; (3) a $Z'$ boson decaying to a composite lepton $E$ and $\ell$, with $E \rightarrow Z\ell$; (4) the sequential standard model $W' \rightarrow W Z' \rightarrow \ell\nu q\bar{q}$; (5) a simplified dark-matter model with an axial-vector mediator $Z' \rightarrow q\bar{q}$, where one of the quarks radiates a $W$ boson decaying to $\ell\nu$. The multiple markers shown for the composite-lepton model at the same invariant mass values correspond to different composite lepton ($E$) masses between 0.25 and 3.5 TeV. The center positions of the markers are set to the masses of the corresponding heavy particles.

Values of $\Delta Z$ for the discovery sensitivity, as defined in the text, as a function of the invariant mass $\textit{m}$. The j+e invariant mass distribution is calculated in the 10 pb AR. Positive percentages indicate improvements in sensitivity. Horizontal dashed lines are drawn at 100% and 200% to guide the eye. The five benchmark BSM models are (1) charged Higgs boson production in association with a top quark, $tbH^{+}$ with $H^{+} \rightarrow t\bar{b}$; (2) a Kaluza-Klein gauge boson, $W_{KK}$, with the SM $W$ boson and a radion $\phi$; (3) a $Z'$ boson decaying to a composite lepton $E$ and $\ell$, with $E \rightarrow Z\ell$; (4) the sequential standard model $W' \rightarrow W Z' \rightarrow \ell\nu q\bar{q}$; (5) a simplified dark-matter model with an axial-vector mediator $Z' \rightarrow q\bar{q}$, where one of the quarks radiates a $W$ boson decaying to $\ell\nu$. The multiple markers shown for the composite-lepton model at the same invariant mass values correspond to different composite lepton ($E$) masses between 0.25 and 3.5 TeV. The center positions of the markers are set to the masses of the corresponding heavy particles.

Values of $\Delta Z$ for the discovery sensitivity, as defined in the text, as a function of the invariant mass $\textit{m}$. The b-jet+e invariant mass distribution is calculated in the 10 pb AR. Positive percentages indicate improvements in sensitivity. Horizontal dashed lines are drawn at 100% and 200% to guide the eye. The five benchmark BSM models are (1) charged Higgs boson production in association with a top quark, $tbH^{+}$ with $H^{+} \rightarrow t\bar{b}$; (2) a Kaluza-Klein gauge boson, $W_{KK}$, with the SM $W$ boson and a radion $\phi$; (3) a $Z'$ boson decaying to a composite lepton $E$ and $\ell$, with $E \rightarrow Z\ell$; (4) the sequential standard model $W' \rightarrow W Z' \rightarrow \ell\nu q\bar{q}$; (5) a simplified dark-matter model with an axial-vector mediator $Z' \rightarrow q\bar{q}$, where one of the quarks radiates a $W$ boson decaying to $\ell\nu$. The multiple markers shown for the composite-lepton model at the same invariant mass values correspond to different composite lepton ($E$) masses between 0.25 and 3.5 TeV. The center positions of the markers are set to the masses of the corresponding heavy particles.

Values of $\Delta Z$ for the discovery sensitivity, as defined in the text, as a function of the invariant mass $\textit{m}$. The j+$\gamma$ invariant mass distribution is calculated in the 10 pb AR. Positive percentages indicate improvements in sensitivity. Horizontal dashed lines are drawn at 100% and 200% to guide the eye. The five benchmark BSM models are (1) charged Higgs boson production in association with a top quark, $tbH^{+}$ with $H^{+} \rightarrow t\bar{b}$; (2) a Kaluza-Klein gauge boson, $W_{KK}$, with the SM $W$ boson and a radion $\phi$; (3) a $Z'$ boson decaying to a composite lepton $E$ and $\ell$, with $E \rightarrow Z\ell$; (4) the sequential standard model $W' \rightarrow W Z' \rightarrow \ell\nu q\bar{q}$; (5) a simplified dark-matter model with an axial-vector mediator $Z' \rightarrow q\bar{q}$, where one of the quarks radiates a $W$ boson decaying to $\ell\nu$. The multiple markers shown for the composite-lepton model at the same invariant mass values correspond to different composite lepton ($E$) masses between 0.25 and 3.5 TeV. The center positions of the markers are set to the masses of the corresponding heavy particles.

Values of $\Delta Z$ for the discovery sensitivity, as defined in the text, as a function of the invariant mass $\textit{m}$. The j+$\mu$ invariant mass distribution is calculated in the 10 pb AR. Positive percentages indicate improvements in sensitivity. Horizontal dashed lines are drawn at 100% and 200% to guide the eye. The five benchmark BSM models are (1) charged Higgs boson production in association with a top quark, $tbH^{+}$ with $H^{+} \rightarrow t\bar{b}$; (2) a Kaluza-Klein gauge boson, $W_{KK}$, with the SM $W$ boson and a radion $\phi$; (3) a $Z'$ boson decaying to a composite lepton $E$ and $\ell$, with $E \rightarrow Z\ell$; (4) the sequential standard model $W' \rightarrow W Z' \rightarrow \ell\nu q\bar{q}$; (5) a simplified dark-matter model with an axial-vector mediator $Z' \rightarrow q\bar{q}$, where one of the quarks radiates a $W$ boson decaying to $\ell\nu$. The multiple markers shown for the composite-lepton model at the same invariant mass values correspond to different composite lepton ($E$) masses between 0.25 and 3.5 TeV. The center positions of the markers are set to the masses of the corresponding heavy particles.

Values of $\Delta Z$ for the discovery sensitivity, as defined in the text, as a function of the invariant mass $\textit{m}$. The b-jet+$\mu$ invariant mass distribution is calculated in the 10 pb AR. Positive percentages indicate improvements in sensitivity. Horizontal dashed lines are drawn at 100% and 200% to guide the eye. The five benchmark BSM models are (1) charged Higgs boson production in association with a top quark, $tbH^{+}$ with $H^{+} \rightarrow t\bar{b}$; (2) a Kaluza-Klein gauge boson, $W_{KK}$, with the SM $W$ boson and a radion $\phi$; (3) a $Z'$ boson decaying to a composite lepton $E$ and $\ell$, with $E \rightarrow Z\ell$; (4) the sequential standard model $W' \rightarrow W Z' \rightarrow \ell\nu q\bar{q}$; (5) a simplified dark-matter model with an axial-vector mediator $Z' \rightarrow q\bar{q}$, where one of the quarks radiates a $W$ boson decaying to $\ell\nu$. The multiple markers shown for the composite-lepton model at the same invariant mass values correspond to different composite lepton ($E$) masses between 0.25 and 3.5 TeV. The center positions of the markers are set to the masses of the corresponding heavy particles.

Values of $\Delta Z$ for the discovery sensitivity, as defined in the text, as a function of the invariant mass $\textit{m}$. The b-jet+$\gamma$ invariant mass distribution is calculated in the 10 pb AR. Positive percentages indicate improvements in sensitivity. Horizontal dashed lines are drawn at 100% and 200% to guide the eye. The five benchmark BSM models are (1) charged Higgs boson production in association with a top quark, $tbH^{+}$ with $H^{+} \rightarrow t\bar{b}$; (2) a Kaluza-Klein gauge boson, $W_{KK}$, with the SM $W$ boson and a radion $\phi$; (3) a $Z'$ boson decaying to a composite lepton $E$ and $\ell$, with $E \rightarrow Z\ell$; (4) the sequential standard model $W' \rightarrow W Z' \rightarrow \ell\nu q\bar{q}$; (5) a simplified dark-matter model with an axial-vector mediator $Z' \rightarrow q\bar{q}$, where one of the quarks radiates a $W$ boson decaying to $\ell\nu$. The multiple markers shown for the composite-lepton model at the same invariant mass values correspond to different composite lepton ($E$) masses between 0.25 and 3.5 TeV. The center positions of the markers are set to the masses of the corresponding heavy particles.

The 95% CL upper limits on the cross section times acceptance ($A$), efficiency ($\epsilon$), and branching ratio ($B$) for Gaussian-shaped signals with different signal widths. The limits are calculated for events with at least one lepton with pT > 60 GeV in the 10 pb AR. Two width hypotheses are shown; $\sigma X / mX = 0$ and $\sigma X / mX = 0.15$. In both cases, the detector resolution for jets is included in the simulation of signal samples. The $\pm1 \sigma$ and $\pm2 \sigma$ bands around the expected limit are shown for $\sigma X / mX = 0$ signals. Mass points are spaced 5% apart, relative to the preceding point, starting at 0.3 TeV.

Distributions of the anomaly score from the AE for data and five benchmark BSM models. Their legends, from top to bottom, are; (1) charged Higgs boson production in association with a top quark, $tbH^{+}$ with $H^{+} \rightarrow t\bar{b}$, with the $H^{+}$ mass of 2 TeV; (2) a 6 TeV Kaluza-Klein gauge boson, $W_{KK}$, with the SM $W$ boson and a radion $\phi$; (3) a 4 TeV $Z'$ boson decaying to a composite lepton $E$ with a mass of 0.5 TeV; (4) the sequential standard model $W' \rightarrow WZ' \rightarrow \ell\nu q\bar{q}$, with the $W'$ mass of 6.2 TeV and the $Z'$ mass of 6 TeV; (5) a simplified dark-matter model with an axial-vector mediator $Z' \rightarrow q\bar{q}$, where one of the quarks radiates a $W$ boson decaying to $\ell\nu$ with a mass of 6 TeV. The distributions for the BSM models are smoothed to remove fluctuations due to low MC event counts. The vertical lines indicate the start of the three anomaly regions (ARs). The labels of the three ARs indicate the visible cross section for hypothetical processes yielding the same number of events as observed in the 140 $fb^{-1}$ dataset. The AE is applied to preselected events without any requirements on invariant mass distributions.

Invariant mass distributions of $j+Y$ for $M_{jY}$ > 0.3 TeV after preselection along with the fit from Eq.(1). The fit is represented by red lines, and the associated uncertainties are indicated by yellow bands. The lower panels show the bin-by-bin significances of deviations from the fit, calculated as $(d_{\textit{i}} - f_{\textit{i}}) / \delta_{\textit{i}}$, where $d_{\textit{i}}$ is the data yield, $f_{\textit{i}}$ is the fit value, and $\delta_{i}$ is the uncertainty of data in the $\textit{i}$-th bin

Distributions of the anomaly score for data and several anomaly scenarios. The example BSM model (shown with the dashed blue lines) is the sequential standard model $W' \rightarrow WZ' \rightarrow \ell\nu q\bar{q}$. The mass of $W'$ is set to 2.2 TeV and the mass of the $Z'$ is set to 2 TeV. This model leads to the final state of one lepton, two jets, and small missing transverse energy that is similar to the SM backgrounds. The other histograms represent events from the same model with artificial modifications to represent anomalous events; (1) "Anomaly 1" is the case where all jets beyond the second jet ($N_{j}$ > 2) are replaced with photons; (2) "Anomaly 2" is the case where all jets beyond the second jet are replaced with $b$-jets; (3) "Anomaly 3" is the case of low-multiplicity events where all jets beyond the second jet are removed. The histograms are normalized to unit. The left peak near log(Loss) = -9 visible in Anomaly 1 and 2 is from the events without a third jet.

Expected exclusion limits at 95% CL from Fig 7(a) for $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

One $\sigma$ band of expected exclusion limits at 95% CL from Fig 7(a) for $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Observed exclusion limits at 95% CL from Fig 7(c) for $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Positive one $\sigma$ observed exclusion limits at 95% CL from Fig 7(c) for $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Negative one $\sigma$ observed exclusion limits at 95% CL from Fig 7(c) for $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Expected exclusion limits at 95% CL from Fig 7(c) for $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

One $\sigma$ band of expected exclusion limits at 95% CL from Fig 7(c) for $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Observed exclusion limits at 95% CL from Fig 7(f) for $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Positive one $\sigma$ observed exclusion limits at 95% CL from Fig 7(f) for $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Negative one $\sigma$ observed exclusion limits at 95% CL from Fig 7(f) for $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Expected exclusion limits at 95% CL from Fig 7(f) for $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

One $\sigma$ band of expected exclusion limits at 95% CL from Fig 7(f) for $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Observed exclusion limits at 95% CL from Fig 7(e) for direct $\tilde{\chi_{1}^{0}}$ decay into SM leptons and quarks via a non-zero RPV coupling $\lambda'$

Positive one $\sigma$ observed exclusion limits at 95% CL from Fig 7(e) for direct $\tilde{\chi_{1}^{0}}$ decay into SM leptons and quarks via a non-zero RPV coupling $\lambda'$

Negative one $\sigma$ observed exclusion limits at 95% CL from Fig 7(e) for direct $\tilde{\chi_{1}^{0}}$ decay into SM leptons and quarks via a non-zero RPV coupling $\lambda'$

Expected exclusion limits at 95% CL from Fig 7(e) for direct $\tilde{\chi_{1}^{0}}$ decay into SM leptons and quarks via a non-zero RPV coupling $\lambda'$

One $\sigma$ band of expected exclusion limits at 95% CL from Fig 7(e) for direct $\tilde{\chi_{1}^{0}}$ decay into SM leptons and quarks via a non-zero RPV coupling $\lambda'$

Observed exclusion limits at 95% CL from Fig 7(b) for $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Positive one $\sigma$ observed exclusion limits at 95% CL from Fig 7(b) for $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Negative one $\sigma$ observed exclusion limits at 95% CL from Fig 7(b) for $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Expected exclusion limits at 95% CL from Fig 7(b) for $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

One $\sigma$ band of expected exclusion limits at 95% CL from Fig 7(b) for $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Observed exclusion limits at 95% CL from Fig 7(d) for $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Positive one $\sigma$ observed exclusion limits at 95% CL from Fig 7(d) for $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Negative one $\sigma$ observed exclusion limits at 95% CL from Fig 7(d) for $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Expected exclusion limits at 95% CL from Fig 7(d) for $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

One $\sigma$ band of expected exclusion limits at 95% CL from Fig 7(d) for $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

N-1 distribution for $m_{\mathrm{eff}}$of observed data and expected background in SRGGWZ-H.

N-1 distribution for $E_{\mathrm{T}}^{\mathrm{miss}}$of observed data and expected background in SRGGSlep-M.

N-1 distribution for $\sum{p_{\mathrm{T}}^\mathrm{jet}}$of observed data and expected background in SRUDD-ge2b.

N-1 distribution for $m_{\mathrm{eff}}$of observed data and expected background in SRLQD.

N-1 distribution for $m_{\mathrm{eff}}$of observed data and expected background in SRSSWZ-H.

N-1 distribution for $m_{\mathrm{eff}}$of observed data and expected background in SRSSSlep-H(loose).

Signal acceptance for SRGGWZ-H signal region from Fig 10(c) in a SUSY scenario where $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRGGWZ-H signal region from Fig 15(c) in a SUSY scenario where $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRGGWZ-M signal region from Fig 10(b) in a SUSY scenario where $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRGGWZ-M signal region from Fig 15(b) in a SUSY scenario where $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRGGWZ-L signal region from Fig 10(a) in a SUSY scenario where $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRGGWZ-L signal region from Fig 15(a) in a SUSY scenario where $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRGGSlep-L signal region from Fig 12(a) in a SUSY scenario where $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRGGSlep-L signal region from Fig 17(a) in a SUSY scenario where $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRGGSlep-M signal region from Fig 12(b) in a SUSY scenario where $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRGGSlep-M signal region from Fig 17(b) in a SUSY scenario where $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRGGSlep-H signal region from Fig 12(c) in a SUSY scenario where $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRGGSlep-H signal region from Fig 17(c) in a SUSY scenario where $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRUDD-1b signal region from Fig 14(b) in a SUSY scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Signal efficiency for SRUDD-1b signal region from Fig 19(b) in a SUSY scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Signal acceptance for SRUDD-2b signal region from Fig 14(c) in a SUSY scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Signal efficiency for SRUDD-2b signal region from Fig 19(c) in a SUSY scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Signal acceptance for SRUDD-ge2b signal region from Fig 14(d) in a SUSY scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Signal efficiency for SRUDD-ge2b signal region from Fig 19(d) in a SUSY scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Signal acceptance for SRUDD-ge3b signal region from Fig 14(e) in a SUSY scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Signal efficiency for SRUDD-ge3b signal region from Fig 19(e) in a SUSY scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Signal acceptance for SRLQD signal region from Fig 14(a) in a SUSY scenario where direct $\tilde{\chi_{1}^{0}}$ decay into SM leptons and quarks via a non-zero RPV coupling $\lambda'$

Signal efficiency for SRLQD signal region from Fig 19(a) in a SUSY scenario where direct $\tilde{\chi_{1}^{0}}$ decay into SM leptons and quarks via a non-zero RPV coupling $\lambda'$

Signal acceptance for SRSSWZ-L signal region from Fig 11(a) in a SUSY scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRSSWZ-L signal region from Fig 16(a) in a SUSY scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRSSWZ-ML signal region from Fig 11(b) in a SUSY scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRSSWZ-ML signal region from Fig 16(b) in a SUSY scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRSSWZ-MH signal region from Fig 11(c) in a SUSY scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRSSWZ-MH signal region from Fig 16(c) in a SUSY scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRSSWZ-H signal region from Fig 11(d) in a SUSY scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRSSWZ-H signal region from Fig 16(d) in a SUSY scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRSSSlep-H signal region from Fig 13(d) in a SUSY scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRSSSlep-H signal region from Fig 18(d) in a SUSY scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRSSSlep-MH signal region from Fig 13(c) in a SUSY scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRSSSlep-MH signal region from Fig 18(c) in a SUSY scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRSSSlep-L signal region from Fig 13(a) in a SUSY scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRSSSlep-L signal region from Fig 18(a) in a SUSY scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRSSSlep-ML signal region from Fig 13(b) in a SUSY scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRSSSlep-ML signal region from Fig 18(b) in a SUSY scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal acceptance for SRSSSlep-H(loose) signal region from Fig 13(e) in a SUSY scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Signal efficiency for SRSSSlep-H(loose) signal region from Fig 18(e) in a SUSY scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRGGWZ-H in a susy scenario where $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 1400 GeV, $m(\tilde{\chi_{1}^{0}})$ = 1000 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRGGWZ-M in a susy scenario where $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 1400 GeV, $m(\tilde{\chi_{1}^{0}})$ = 1000 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRGGWZ-L in a susy scenario where $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 1400 GeV, $m(\tilde{\chi_{1}^{0}})$ = 1000 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRGGSlep-L in a susy scenario where $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 2000 GeV, $m(\tilde{\chi_{1}^{0}})$ = 500 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRGGSlep-M in a susy scenario where $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 2000 GeV, $m(\tilde{\chi_{1}^{0}})$ = 500 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRGGSlep-H in a susy scenario where $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 2000 GeV, $m(\tilde{\chi_{1}^{0}})$ = 500 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRUDD-1b in a susy scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 1600 GeV, $m(\tilde{t})$ = 600 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRUDD-2b in a susy scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 1600 GeV, $m(\tilde{t})$ = 600 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRUDD-ge2b in a susy scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 1600 GeV, $m(\tilde{t})$ = 600 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRUDD-ge3b in a susy scenario where $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 1600 GeV, $m(\tilde{t})$ = 600 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRLQD in a susy scenario where direct $\tilde{\chi_{1}^{0}}$ decay into SM leptons and quarks via a non-zero RPV coupling $\lambda'$. The masses of the superpartners involved in the process are set to $m(\tilde{g})$ = 2200 GeV, $m(\tilde{\chi_{1}^{0}})$ = 1870 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRSSWZ-L in a susy scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{q})$ = 800 GeV, $m(\tilde{\chi_{1}^{0}})$ = 600 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRSSWZ-ML in a susy scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{q})$ = 800 GeV, $m(\tilde{\chi_{1}^{0}})$ = 600 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRSSWZ-MH in a susy scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{q})$ = 800 GeV, $m(\tilde{\chi_{1}^{0}})$ = 600 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRSSWZ-H in a susy scenario where $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{q})$ = 800 GeV, $m(\tilde{\chi_{1}^{0}})$ = 600 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRSSSlep-H in a susy scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{q})$ = 1000 GeV, $m(\tilde{\chi_{1}^{0}})$ = 800 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRSSSlep-MH in a susy scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{q})$ = 1000 GeV, $m(\tilde{\chi_{1}^{0}})$ = 800 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRSSSlep-L in a susy scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{q})$ = 1000 GeV, $m(\tilde{\chi_{1}^{0}})$ = 800 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRSSSlep-ML in a susy scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{q})$ = 1000 GeV, $m(\tilde{\chi_{1}^{0}})$ = 800 GeV. Only statistical uncertainties are shown.

Number of signal events expected for 139 fb$^{-1}$ at different stages of the event selection for the signal region SRSSSlep-H(loose) in a susy scenario where $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$. The masses of the superpartners involved in the process are set to $m(\tilde{q})$ = 1000 GeV, $m(\tilde{\chi_{1}^{0}})$ = 800 GeV. Only statistical uncertainties are shown.

Cross-section upper limits at 95% CL from Fig1(a) for $\tilde{g}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Cross-section upper limits at 95% CL from Fig1(c) for $\tilde{g}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Cross-section upper limits at 95% CL from Fig1(f) for $\tilde{g}$ decays into anti-top and $\tilde{t}$ and $\tilde{t}$ decays via a non-zero RPV coupling $\lambda''$

Cross-section upper limits at 95% CL from Fig1(e) for direct $\tilde{\chi_{1}^{0}}$ decay into SM leptons and quarks via a non-zero RPV coupling $\lambda'$

Cross-section upper limits at 95% CL from Fig1(b) for $\tilde{q}$ decays into SM gauge bosons and $\tilde{\chi}^{0}_{1}$

Cross-section upper limits at 95% CL from Fig1(d) for $\tilde{q}$ decays into sleptons and subsequently to SM leptons and $\tilde{\chi}^{0}_{1}$

Observed and expected upper limits at 95% CL on the production cross-section times branching fraction as a function of $m_{A'}$ at dark Higgs boson mass of 50 GeV

Observed and expected upper limits at 95% CL on the production cross-section times branching fraction as a function of $m_{A'}$ at dark Higgs boson mass of 60 GeV

Observed and expected upper limits at 95% CL on the production cross-section times branching fraction as a function of $m_{A'}$ at dark Higgs boson mass of 70 GeV

Observed 90% CL upper limits on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 20 GeV

Observed 90% CL upper limits on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 30 GeV

Observed 90% CL upper limits on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 40 GeV

Observed 90% CL upper limits on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 50 GeV

Observed 90% CL upper limits on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 60 GeV

Observed 90% CL upper limits on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 70 GeV

Observed 90% CL upper limits on $\epsilon^{2}$, assuming of $\alpha_{D}=0.1$, as a function of $m_{A'}$ at dark Higgs boson mass of 20 GeV

Observed 90% CL upper limits on $\epsilon^{2}$, assuming of $\alpha_{D}=0.1$, as a function of $m_{A'}$ at dark Higgs boson mass of 30 GeV

Observed 90% CL upper limits on $\epsilon^{2}$, assuming of $\alpha_{D}=0.1$, as a function of $m_{A'}$ at dark Higgs boson mass of 40 GeV

Observed 90% CL upper limits on $\epsilon^{2}$, assuming of $\alpha_{D}=0.1$, as a function of $m_{A'}$ at dark Higgs boson mass of 50 GeV

Observed 90% CL upper limits on $\epsilon^{2}$, assuming of $\alpha_{D}=0.1$, as a function of $m_{A'}$ at dark Higgs boson mass of 60 GeV

Observed 90% CL upper limits on $\epsilon^{2}$, assuming of $\alpha_{D}=0.1$, as a function of $m_{A'}$ at dark Higgs boson mass of 70 GeV

Observed and expected upper limits at 95% CL on the branching fraction as a function of $m_{A'}$ at dark Higgs boson mass of 20 GeV

Observed and expected upper limits at 95% CL on the branching fraction as a function of $m_{A'}$ at dark Higgs boson mass of 30 GeV

Observed and expected upper limits at 95% CL on the branching fraction as a function of $m_{A'}$ at dark Higgs boson mass of 40 GeV

Observed and expected upper limits at 95% CL on the branching fraction as a function of $m_{A'}$ at dark Higgs boson mass of 50 GeV

Observed and expected upper limits at 95% CL on the branching fraction as a function of $m_{A'}$ at dark Higgs boson mass of 60 GeV

Observed and expected upper limits at 95% CL on the branching fraction as a function of $m_{A'}$ at dark Higgs boson mass of 70 GeV

Observed and expected upper limits at 95% CL on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 20 GeV

Observed and expected upper limits at 95% CL on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 30 GeV

Observed and expected upper limits at 95% CL on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 40 GeV

Observed and expected upper limits at 95% CL on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 50 GeV

Observed and expected upper limits at 95% CL on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 60 GeV

Observed and expected upper limits at 95% CL on $\alpha_{D}\epsilon^{2}$ as a function of $m_{A'}$ at dark Higgs boson mass of 70 GeV

2 sigma band of expected combination limits at 95% CL in the $(m_{a},m_{A})$ plane under the assumption of $sin\theta$ = 0.35.

Observed combination limits at 95% CL in the $(m_{a},m_{A})$ plane under the assumption of $sin\theta$ = 0.7.

Expected combination limits at 95% CL in the $(m_{a},m_{A})$ plane under the assumption of $sin\theta$ = 0.7.

1 sigma band of expected combination limits at 95% CL in the $(m_{a},m_{A})$ plane under the assumption of $sin\theta$ = 0.7.

2 sigma band of expected combination limits at 95% CL in the $(m_{a},m_{A})$ plane under the assumption of $sin\theta$ = 0.7.

Observed limits of H(inv) at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35.

Expected limits of H(inv) at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35.

Observed limits of monoh(bb) at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35.

Expected limits of monoh(bb) at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35.

Observed limits of $h\to aa \to \mu\mu\tau\tau$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed limits of $h\to aa \to bbbb$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed limits of $h\to aa \to bb\mu\mu$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed limits of $h\to aa \to 4 \mu$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed limits of $h\to aa \to 4 \mu$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed limits of $h\to aa \to 4 \mu$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

Expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

1 sigma band of expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

2 sigma band of expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

Observed combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

Expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

1 sigma band of expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

2 sigma band of expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

Observed combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

Expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

1 sigma band of expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

2 sigma band of expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

Observed combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

Expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

1 sigma band of expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

2 sigma band of expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

Observed and expected combination limits at 95% CL as a function of $sin\theta$ for the low-mass hypothesis $m_{A}$ = 0.6 TeV, $m_{a}$ = 200 GeV.

Observed and expected combination limits at 95% CL as a function of $sin\theta$ for the high-mass hypothesis $m_{A}$ = 1 TeV, $m_{a}$ = 350 GeV.

Observed and expected combination limits at 95% CL as a function of $m_{\chi}$ following the parameter choices of $m_{A}$ = 1 TeV, $m_{a}$ = 400 GeV.

The EW-Zy jj differential cross-section in the Signal Region as a function of the leading lepton pT. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The EW-Zy jj differential cross-section in the Signal Region as a function of the leading photon pT. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The EW-Zy jj differential cross-section in the Signal Region as a function of the leading jet pT. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The EW-Zy jj differential cross-section in the Signal Region as a function of the Zy system pT. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The EW-Zy jj differential cross-section in the Signal Region as a function of the dijet invariant mass. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The EW-Zy jj differential cross-section in the Signal Region as a function of the dijet rapidity difference. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The EW-Zy jj differential cross-section in the Signal Region as a function of the Zy and dijet azimuthal difference. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The total Zy jj differential cross-section in the Extended SR as a function of the leading lepton pT. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The total Zy jj differential cross-section in the Extended SR as a function of the leading photon pT. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The total Zy jj differential cross-section in the Extended SR as a function of the leading jet pT. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The total Zy jj differential cross-section in the Extended SR as a function of the Z boson pT. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The total Zy jj differential cross-section in the Extended SR as a function of the Zy system pT. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The total Zy jj differential cross-section in the Extended SR as a function of the dijet invariant mass. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The total Zy jj differential cross-section in the Extended SR as a function of the dijet rapidity difference. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The total Zy jj differential cross-section in the Extended SR as a function of the Zy and dijet azimuthal difference. The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The total Zy jj differential cross-section in the Extended SR as a function of the centrality of the system ζ(Zy). The lower panels show the ratios of the MC predictions to the data. The band around unfolded data represents the total uncertainty (including statistical uncertainty) and takes into account the correlations as obtained from the fit. The hatched area represents the uncertainty in the prediction. Events beyond the upper limit of the histogram are included in the last bin.

The $m_{e\mu}$ distribution of the observed data is shown, with the $S+B$ fit at $m_{X}=146\mathrm{GeV}$ in red solid line, and the background component of the fit in red dotted line. Events and fit in each category are weighted by $S/(S+B)$. The one and two standard deviation uncertainty bands of the background component are shown in green and yellow. The lower panel shows the residuals after subtracting the background component of the fit from data.

Observed (expected) 95% confidence level upper limits on $\sigma(p p \to X(146) \to e \mu)$ for each individual analysis category (as shown in the left axis label) and for the combination of all analysis categories assuming the relative SM-like production cross sections of the ggH and VBF production modes.

The $m_{e\mu}$ distribution of the observed data in the category ggH cat 0 is shown, with the $S+B$ fit at $m_{X}=146\mathrm{GeV}$ in solid red line, and the background component of the fit in dotted red line. The green and yellow bands represent the one and two standard deviations of the background component. The lower panel shows the residuals after subtracting the background component of the fit from data.

The $m_{e\mu}$ distribution of the observed data in the category ggH cat 1 is shown, with the $S+B$ fit at $m_{X}=146\mathrm{GeV}$ in solid red line, and the background component of the fit in dotted red line. The green and yellow bands represent the one and two standard deviations of the background component. The lower panel shows the residuals after subtracting the background component of the fit from data.

The $m_{e\mu}$ distribution of the observed data in the category ggH cat 2 is shown, with the $S+B$ fit at $m_{X}=146\mathrm{GeV}$ in solid red line, and the background component of the fit in dotted red line. The green and yellow bands represent the one and two standard deviations of the background component. The lower panel shows the residuals after subtracting the background component of the fit from data.

The $m_{e\mu}$ distribution of the observed data in the category ggH cat 3 is shown, with the $S+B$ fit at $m_{X}=146\mathrm{GeV}$ in solid red line, and the background component of the fit in dotted red line. The green and yellow bands represent the one and two standard deviations of the background component. The lower panel shows the residuals after subtracting the background component of the fit from data.

The $m_{e\mu}$ distribution of the observed data in the category VBF cat 0 is shown, with the $S+B$ fit at $m_{X}=146\mathrm{GeV}$ in solid red line, and the background component of the fit in dotted red line. The green and yellow bands represent the one and two standard deviations of the background component. The lower panel shows the residuals after subtracting the background component of the fit from data.

The $m_{e\mu}$ distribution of the observed data in the category VBF cat 1 is shown, with the $S+B$ fit at $m_{X}=146\mathrm{GeV}$ in solid red line, and the background component of the fit in dotted red line. The green and yellow bands represent the one and two standard deviations of the background component. The lower panel shows the residuals after subtracting the background component of the fit from data.

Best fit of $\sigma(p p \to X(146) \to e \mu)$ for each analysis category (black point) compared to the best fit for the combination of all analysis categories (blue line). The one standard deviation uncertainty of the per-category best fit is shown in red line and the one standard deviation uncertainty of the combined best fit is shown in green band.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 0.0.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 0.1.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 0.2.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 0.3.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 0.4.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 0.5.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 0.6.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 0.7.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 0.8.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 0.9.

The observed and expected 95% CL upper limits on $\sigma_{ggH,f_{VBF}}(p p \to X \to e \mu)$ and $\sigma_{VBF,f_{VBF}}(p p \to X \to e \mu)$ with $f_{VBF}$ = 1.0.

The post-fit distributions of $p_\textrm{T}^{\textrm{bal}}$ for the SR. Data are compared with background predictions, and six signal predictions covering a representative mediator mass and invisible fraction range are overlaid. The uncertainties include all systematic and statistical components. The last bin contains the overflow.

The post-fit distributions of |$\phi_{\textrm{max}} - \phi_{\textrm{min}}$| for the SR. Data are compared with background predictions, and six signal predictions covering a representative mediator mass and invisible fraction range are overlaid. The uncertainties include all systematic and statistical components. The last bin contains the overflow.

Observed 95% CL limits on the t-channel production cross-section for semi-visible jets for R$_{inv}$ = 0.1.

Observed 95% CL limits on the t-channel production cross-section for semi-visible jets for R$_{inv}$ = 0.2.

Observed 95% CL limits on the t-channel production cross-section for semi-visible jets for R$_{inv}$ = 0.4.

Observed 95% CL limits on the t-channel production cross-section for semi-visible jets for R$_{inv}$ = 0.6.

Observed 95% CL limits on the t-channel production cross-section for semi-visible jets for R$_{inv}$ = 0.8.

Observed 95% CL limits on the t-channel production cross-section for semi-visible jets for R$_{inv}$ = 0.9.

The LO theory prediction (for λ=1).

Cutflow table for 6 signals of different mediator masses and R$_{inv}$ fractions.