The observed 90% C.L upper limit on neutrino effective millicharge (\delta_{Q}[e_{0}]) in SR1. The data contains observed upper limit, median sensitivity and 1\sigma and 2\sigma sensitivity range.

The observerd 90% C.L upper limit on solar axion g_{ae} coupling constant in valid across the mass range for SR1. The data contains observed upper limit, median sensitivity and 1\sigma and 2\sigma sensitivity range as a function of Solar Axion Mass .

The observed 90% C.L. upper limit on axion like particle (ALP) coupling constant (g_{ae}) in SR1. ALP mass spanning from 1 keV to 17 keV is considered. The data contains observed upper limit, median sensitivity and 1\sigma and 2\sigma sensitivity range as a function of ALP Mass.

The observed 90% C.L. upper limit on hidden photon (HP) coupling constant squared (\kappa^2) in SR1. HP mass spanning from 1 keV to 17 keV is considered. The data contains observed upper limit, median sensitivity and 1\sigma and 2\sigma sensitivity range as a function of HP Mass.

The observed 90% C.L. upper limit for the spin-independent (cm^2) WIMP cross-section vs. WIMP mass (GeV/c^2), using the Migdal signal pathway. The result is obtained for WIMPs undergoing the Migdal effect from 0.5 to 9 GeV/c2. The data contains observed upper limit, median sensitivity and 1\sigma and 2\sigma sensitivity range as a function of WIMP Mass.

The observed 90% C.L. upper limit for the spin-dependent WIMP cross-section (cm^2) vs. WIMP mass (GeV/c^2) for coupling on neutrons. The result is obtained for WIMPs undergoing the Migdal effect from 0.5 to 9 GeV/c2. The data contains observed upper limit, median sensitivity and 1\sigma and 2\sigma sensitivity range as a function of WIMP Mass.

The observed 90% C.L. upper limit for the spin-dependent WIMP cross-section (cm^2) vs. WIMP mass (GeV/c^2) for coupling on protons. The result is obtained for WIMPs undergoing the Migdal effect from 0.5 to 9 GeV/c2. The data contains observed upper limit, median sensitivity and 1\sigma and 2\sigma sensitivity range as a function of WIMP Mass.

The average tetrajet invariant mass distributions in data, along with the fitted background estimates for 0.16 < $\alpha$ < 0.18.

The average tetrajet invariant mass distributions in data, along with the fitted background estimates for 0.18 < $\alpha$ < 0.20.

The average tetrajet invariant mass distributions in data, along with the fitted background estimates for 0.20 < $\alpha$ < 0.22.

The average tetrajet invariant mass distributions in data, along with the fitted background estimates for 0.22 < $\alpha$ < 0.24.

The average tetrajet invariant mass distributions in data, along with the fitted background estimates for 0.24 < $\alpha$ < 0.26.

The average tetrajet invariant mass distributions in data, along with the fitted background estimates for 0.26 < $\alpha$ < 0.28.

The average tetrajet invariant mass distributions in data, along with the fitted background estimates for 0.28 < $\alpha$ < 0.30.

The average tetrajet invariant mass distributions in data, along with the fitted background estimates for 0.30 < $\alpha$ < 0.32.

The average tetrajet invariant mass distributions in data, along with the fitted background estimates for 0.32 < $\alpha$ < 0.34.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.10 < $\alpha$ < 0.12.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.12 < $\alpha$ < 0.14.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.14 < $\alpha$ < 0.16.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.16 < $\alpha$ < 0.18.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.18 < $\alpha$ < 0.20.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.20 < $\alpha$ < 0.22.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.22 < $\alpha$ < 0.24.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.24 < $\alpha$ < 0.26.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.26 < $\alpha$ < 0.28.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.28 < $\alpha$ < 0.30.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.30 < $\alpha$ < 0.32.

The average dijet invariant mass distributions in data, along with the fitted background estimates for 0.32 < $\alpha$ < 0.34.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.10 < $\alpha$ < 0.12.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.12 < $\alpha$ < 0.14.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.14 < $\alpha$ < 0.16.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.16 < $\alpha$ < 0.18.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.18 < $\alpha$ < 0.20.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.20 < $\alpha$ < 0.22.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.22 < $\alpha$ < 0.24.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.24 < $\alpha$ < 0.26.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.26 < $\alpha$ < 0.28.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.28 < $\alpha$ < 0.30.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.30 < $\alpha$ < 0.32.

The expected and observed limits on $m_{4j}$ for signal templates using a 4-parameter fit function for 0.32 < $\alpha$ < 0.34.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.10 < $\alpha$ < 0.12.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.12 < $\alpha$ < 0.14.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.14 < $\alpha$ < 0.16.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.16 < $\alpha$ < 0.18.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.18 < $\alpha$ < 0.20.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.20 < $\alpha$ < 0.22.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.22 < $\alpha$ < 0.24.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.24 < $\alpha$ < 0.26.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.26 < $\alpha$ < 0.28.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.28 < $\alpha$ < 0.30.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.30 < $\alpha$ < 0.32.

The expected and observed limits on $m_{\langle 2j \rangle}$ for signal templates using a 4-parameter fit function for 0.32 < $\alpha$ < 0.34.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.10 < $\alpha$ < 0.12.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.12 < $\alpha$ < 0.14.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.14 < $\alpha$ < 0.16.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.16 < $\alpha$ < 0.18.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.18 < $\alpha$ < 0.20.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.20 < $\alpha$ < 0.22.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.22 < $\alpha$ < 0.24.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.24 < $\alpha$ < 0.26.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.26 < $\alpha$ < 0.28.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.28 < $\alpha$ < 0.30.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.30 < $\alpha$ < 0.32.

The expected and observed limits on $m_{4j}$ for Gaussian signal templates using a 4-parameter fit function for 0.32 < $\alpha$ < 0.34.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.10 < $\alpha$ < 0.12.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.12 < $\alpha$ < 0.14.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.14 < $\alpha$ < 0.16.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.16 < $\alpha$ < 0.18.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.18 < $\alpha$ < 0.20.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.20 < $\alpha$ < 0.22.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.22 < $\alpha$ < 0.24.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.24 < $\alpha$ < 0.26.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.26 < $\alpha$ < 0.28.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.28 < $\alpha$ < 0.30.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.30 < $\alpha$ < 0.32.

The expected and observed limits on $m_{\langle 2j \rangle}$ for Gaussian signal templates using a 4-parameter fit function for 0.32 < $\alpha$ < 0.34.

The product of the analysis acceptance and selection efficiency for all analysis selection criteria is shown as a function of $m_Y$ and $m_{X}/m_{Y}$.

The cross-section of the signal samples is shown as a function of $m_Y$ and $m_{X}/m_{Y}$.

The nuclear modification factor $\mathrm{R_{AA}}$ versus $p_{\mathrm{T}}$ for prompt $\Lambda^+_c$ production in centrality regions of 0-90, 0-10, 10-30, 30-50 and 50-90% in PbPb collisions. The global uncertainty includes the uncertainties for the luminosity of pp collisions, number of MB events in PbPb collisions, and tracking efficiency. The global uncertainty for $\mathrm{R_{AA}}$ is 16.5%.

The ratio of the production cross sections of prompt $\Lambda^+_c$ to prompt $\mathrm{D_0}$ versus $p_{\mathrm{T}}$ from pp collisions. The global normalization uncertainty is 6.6%.

The ratio of the $\mathrm{T_{AA}}$-scaled prompt $\Lambda^+_c$ yields to prompt $\mathrm{D_0}$ versus $p_{\mathrm{T}}$ from PbPb collisions for 0-90 and 0-10% centrality classes. The global normalization uncertainty is 7.3%.

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.

$p_{\rm T}$-differential cross section of charged-particle jets from model predictions in p-Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.

$p_{\rm T}$-differential cross section ratios of charged-particle jets in pp collisions at $\sqrt{s} = 5.02$ TeV.

$p_{\rm T}$-differential cross section ratios of charged-particle jets in p-Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.

$p_{\rm T}$-differential $R_{\rm pPb}$ of charged-particle jets in p-Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.

$p_{\rm T}$-differential $R_{\rm pPb}$ of charged-particle jets in p-Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.

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.

Reconstructed mass of the Z' candidate in CR1, which consists of flavor sidebands of SR1 (upper), SR2 (middle), and SR3 (lower) regions. Pre-fit (post-fit) results are shown on the left (right). The fitting procedure is described in Section 7.

Reconstructed mass of the Z' candidate in CR1, which consists of flavor sidebands of SR1 (upper), SR2 (middle), and SR3 (lower) regions. Pre-fit (post-fit) results are shown on the left (right). The fitting procedure is described in Section 7.

Reconstructed mass of the Z' candidate in CR1, which consists of flavor sidebands of SR1 (upper), SR2 (middle), and SR3 (lower) regions. Pre-fit (post-fit) results are shown on the left (right). The fitting procedure is described in Section 7.

Reconstructed mass of the Z' candidate in CR2, which consists of the dilepton mass sidebands of SR1 (upper), SR2 (middle), and SR3 (lower) regions. Post-fit dielectron (dimuon) channel results are shown on the left (right). The fitting procedure is described in Section 7.

Reconstructed mass of the Z' candidate in CR2, which consists of the dilepton mass sidebands of SR1 (upper), SR2 (middle), and SR3 (lower) regions. Post-fit dielectron (dimuon) channel results are shown on the left (right). The fitting procedure is described in Section 7.

Reconstructed mass of the Z' candidate in CR2, which consists of the dilepton mass sidebands of SR1 (upper), SR2 (middle), and SR3 (lower) regions. Post-fit dielectron (dimuon) channel results are shown on the left (right). The fitting procedure is described in Section 7.

Reconstructed mass of the Z' candidate in CR2, which consists of the dilepton mass sidebands of SR1 (upper), SR2 (middle), and SR3 (lower) regions. Post-fit dielectron (dimuon) channel results are shown on the left (right). The fitting procedure is described in Section 7.

Reconstructed mass of the Z' candidate in CR2, which consists of the dilepton mass sidebands of SR1 (upper), SR2 (middle), and SR3 (lower) regions. Post-fit dielectron (dimuon) channel results are shown on the left (right). The fitting procedure is described in Section 7.

Reconstructed mass of the Z' candidate in CR2, which consists of the dilepton mass sidebands of SR1 (upper), SR2 (middle), and SR3 (lower) regions. Post-fit dielectron (dimuon) channel results are shown on the left (right). The fitting procedure is described in Section 7.

Distributions of the reconstructed Z' candidate mass in SR1 (upper row), SR2 (middle row) and SR3 (lower row). Left (right) column corresponds to the dielectron (dimuon) channel. Signal samples with ($m_{Z'}$, $m_{N}$) = (4000 GeV, 200 GeV)$ and ($m_{Z'}$, $m_{N}$) = (4000 GeV, 1200 GeV)$ are plotted together with a cross section times branching fraction of 1 fb

Distributions of the reconstructed Z' candidate mass in SR1 (upper row), SR2 (middle row) and SR3 (lower row). Left (right) column corresponds to the dielectron (dimuon) channel. Signal samples with ($m_{Z'}$, $m_{N}$) = (4000 GeV, 200 GeV)$ and ($m_{Z'}$, $m_{N}$) = (4000 GeV, 1200 GeV)$ are plotted together with a cross section times branching fraction of 1 fb

Distributions of the reconstructed Z' candidate mass in SR1 (upper row), SR2 (middle row) and SR3 (lower row). Left (right) column corresponds to the dielectron (dimuon) channel. Signal samples with ($m_{Z'}$, $m_{N}$) = (4000 GeV, 200 GeV)$ and ($m_{Z'}$, $m_{N}$) = (4000 GeV, 1200 GeV)$ are plotted together with a cross section times branching fraction of 1 fb

Distributions of the reconstructed Z' candidate mass in SR1 (upper row), SR2 (middle row) and SR3 (lower row). Left (right) column corresponds to the dielectron (dimuon) channel. Signal samples with ($m_{Z'}$, $m_{N}$) = (4000 GeV, 200 GeV)$ and ($m_{Z'}$, $m_{N}$) = (4000 GeV, 1200 GeV)$ are plotted together with a cross section times branching fraction of 1 fb

Distributions of the reconstructed Z' candidate mass in SR1 (upper row), SR2 (middle row) and SR3 (lower row). Left (right) column corresponds to the dielectron (dimuon) channel. Signal samples with ($m_{Z'}$, $m_{N}$) = (4000 GeV, 200 GeV)$ and ($m_{Z'}$, $m_{N}$) = (4000 GeV, 1200 GeV)$ are plotted together with a cross section times branching fraction of 1 fb

Distributions of the reconstructed Z' candidate mass in SR1 (upper row), SR2 (middle row) and SR3 (lower row). Left (right) column corresponds to the dielectron (dimuon) channel. Signal samples with ($m_{Z'}$, $m_{N}$) = (4000 GeV, 200 GeV)$ and ($m_{Z'}$, $m_{N}$) = (4000 GeV, 1200 GeV)$ are plotted together with a cross section times branching fraction of 1 fb

The observed and expected 95\% CL upper limits on the product of \Zp boson cross section times branching fraction are shown for the case of ${m}_{N}$ = ${m}_{Z'}/4$ (upper row) and ${m}_{N}$ = 100 GeV (lower row) for dielectron (left column) and dimuon (right column) channels. The green and yellow bands indicate the 68\% and 95\% CL regions around the expected limit.

The observed and expected 95\% CL upper limits on the product of \Zp boson cross section times branching fraction are shown for the case of ${m}_{N}$ = ${m}_{Z'}/4$ (upper row) and ${m}_{N}$ = 100 GeV (lower row) for dielectron (left column) and dimuon (right column) channels. The green and yellow bands indicate the 68\% and 95\% CL regions around the expected limit.

The observed and expected 95\% CL upper limits on the product of \Zp boson cross section times branching fraction are shown for the case of ${m}_{N}$ = ${m}_{Z'}/4$ (upper row) and ${m}_{N}$ = 100 GeV (lower row) for dielectron (left column) and dimuon (right column) channels. The green and yellow bands indicate the 68\% and 95\% CL regions around the expected limit.

The observed and expected 95\% CL upper limits on the product of \Zp boson cross section times branching fraction are shown for the case of ${m}_{N}$ = ${m}_{Z'}/4$ (upper row) and ${m}_{N}$ = 100 GeV (lower row) for dielectron (left column) and dimuon (right column) channels. The green and yellow bands indicate the 68\% and 95\% CL regions around the expected limit.

Observed and expected exclusion regions at 95% CL in the 2D phase space of ${m}_{Z'}$ vs. ${m}_{N}$ for dielectron (left) and dimuon (right) channels. One standard deviation (s.d.) limits are also shown. Both opposite- and same-sign (OS and SS) dileptons from decays of heavy neutrino pairs are considered.

Observed and expected exclusion regions at 95% CL in the 2D phase space of ${m}_{Z'}$ vs. ${m}_{N}$ for dielectron (left) and dimuon (right) channels. One standard deviation (s.d.) limits are also shown. Both opposite- and same-sign (OS and SS) dileptons from decays of heavy neutrino pairs are considered.

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.