Distributions of events for $\mathcal{D}_{\text{bkg}}$ observable in the $\gamma$-tagged (left) and Untagged (right) categories of the $\text{H}\to 4\ell$ candidate events. Observed events (black markers) and expected background estimates (solid histograms) from MC simulation (ZZ/Z$\gamma^*$) or control samples in data (Z+X) are shown. The $\gamma \text{H}$ signal contribution, stacked on top of background, is shown with an open histogram for an assumed cross section of $\sigma_{\gamma H}\times{\cal B}(H\to 4\ell)=1$ fb for either the $c_{\gamma\gamma}$ (solid) and $c_{z\gamma}$ (dashed) coupling hypothesis.

Distributions of events for $\mathcal{D}_{\text{bkg}}$ observable in the $\gamma$-tagged (left) and Untagged (right) categories of the $\text{H}\to 4\ell$ candidate events. Observed events (black markers) and expected background estimates (solid histograms) from MC simulation (ZZ/Z$\gamma^*$) or control samples in data (Z+X) are shown. The $\gamma \text{H}$ signal contribution, stacked on top of background, is shown with an open histogram for an assumed cross section of $\sigma_{\gamma H}\times{\cal B}(H\to 4\ell)=1$ fb for either the $c_{\gamma\gamma}$ (solid) and $c_{z\gamma}$ (dashed) coupling hypothesis.

The $M_{PNet}$ distributions for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the $b \bar b$ channel. Fail (left), medium (middle) and tight (right) regions of the $\gamma$-tagged (lower) and Untagged (upper) categories are shown. The signal contribution, stacked on top of background, is shown with an open histogram for an assumed cross section of $\sigma_{\gamma H}{\cal B}( b\bar b)=10$ fb.

The $M_{PNet}$ distributions for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the $b \bar b$ channel. Fail (left), medium (middle) and tight (right) regions of the $\gamma$-tagged (lower) and Untagged (upper) categories are shown. The signal contribution, stacked on top of background, is shown with an open histogram for an assumed cross section of $\sigma_{\gamma H}{\cal B}( b\bar b)=10$ fb.

The $M_{PNet}$ distributions for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the $b \bar b$ channel. Fail (left), medium (middle) and tight (right) regions of the $\gamma$-tagged (lower) and Untagged (upper) categories are shown. The signal contribution, stacked on top of background, is shown with an open histogram for an assumed cross section of $\sigma_{\gamma H}{\cal B}( b\bar b)=10$ fb.

The $M_{PNet}$ distributions for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the $b \bar b$ channel. Fail (left), medium (middle) and tight (right) regions of the $\gamma$-tagged (lower) and Untagged (upper) categories are shown. The signal contribution, stacked on top of background, is shown with an open histogram for an assumed cross section of $\sigma_{\gamma H}{\cal B}( b\bar b)=10$ fb.

The $M_{PNet}$ distributions for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the $b \bar b$ channel. Fail (left), medium (middle) and tight (right) regions of the $\gamma$-tagged (lower) and Untagged (upper) categories are shown. The signal contribution, stacked on top of background, is shown with an open histogram for an assumed cross section of $\sigma_{\gamma H}{\cal B}( b\bar b)=10$ fb.

The $M_{PNet}$ distributions for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the $b \bar b$ channel. Fail (left), medium (middle) and tight (right) regions of the $\gamma$-tagged (lower) and Untagged (upper) categories are shown. The signal contribution, stacked on top of background, is shown with an open histogram for an assumed cross section of $\sigma_{\gamma H}{\cal B}( b\bar b)=10$ fb.

Constraints on $\sigma_{\gamma H}$ from the combination of the $H\to b \bar b$ and $4\ell$ channels. The results are shown with only $c_{\gamma\gamma}$ and $\tilde{c}_{\gamma\gamma}$ floating in the fit (blue) and with all four couplings allowed to float (black). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68\% and 95\% CL intervals.

Constraints on $\sigma_{\gamma H}$ from the combination of the $H\to b \bar b$ and $4\ell$ channels. The results are shown with only $c_{\gamma\gamma}$ and $\tilde{c}_{\gamma\gamma}$ floating in the fit (blue) and with all four couplings allowed to float (black). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68\% and 95\% CL intervals.

Constraints on $\sigma_{\gamma H}$ from the combination of the $H\to b \bar b$ and $4\ell$ channels. The results are shown with only $c_{\gamma\gamma}$ and $\tilde{c}_{\gamma\gamma}$ floating in the fit (blue) and with all four couplings allowed to float (black). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68\% and 95\% CL intervals.

Constraints on $\sigma_{\gamma H}$ from the combination of the $H\to b \bar b$ and $4\ell$ channels. The results are shown with only $c_{\gamma\gamma}$ and $\tilde{c}_{\gamma\gamma}$ floating in the fit (blue) and with all four couplings allowed to float (black). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68\% and 95\% CL intervals.

Constraints on the square of $|c_{\gamma\gamma}|$ (or $|\tilde{c}_{\gamma\gamma}|$) and $|c_{z\gamma}|$ (or $|\tilde{c}_{z\gamma}|$) from the combination of the $H\to b \bar b$ and $4\ell$ channels. The other couplings are either fixed to the null SM expectation (blue) or are left floating in the fit (red). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68% and 95% CL intervals.

Constraints on the square of $|c_{\gamma\gamma}|$ (or $|\tilde{c}_{\gamma\gamma}|$) and $|c_{z\gamma}|$ (or $|\tilde{c}_{z\gamma}|$) from the combination of the $H\to b \bar b$ and $4\ell$ channels. The other couplings are either fixed to the null SM expectation (blue) or are left floating in the fit (red). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68% and 95% CL intervals.

Constraints on the square of $|c_{\gamma\gamma}|$ (or $|\tilde{c}_{\gamma\gamma}|$) and $|c_{z\gamma}|$ (or $|\tilde{c}_{z\gamma}|$) from the combination of the $H\to b \bar b$ and $4\ell$ channels. The other couplings are either fixed to the null SM expectation (blue) or are left floating in the fit (red). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68% and 95% CL intervals.

Constraints on the square of $|c_{\gamma\gamma}|$ (or $|\tilde{c}_{\gamma\gamma}|$) and $|c_{z\gamma}|$ (or $|\tilde{c}_{z\gamma}|$) from the combination of the $H\to b \bar b$ and $4\ell$ channels. The other couplings are either fixed to the null SM expectation (blue) or are left floating in the fit (red). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68% and 95% CL intervals.

Constraints on the square of $|c_{\gamma\gamma}|$ (or $|\tilde{c}_{\gamma\gamma}|$) and $|c_{z\gamma}|$ (or $|\tilde{c}_{z\gamma}|$) from the combination of the $H\to b \bar b$ and $4\ell$ channels. The other couplings are either fixed to the null SM expectation (blue) or are left floating in the fit (red). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68% and 95% CL intervals.

Constraints on the square of $|c_{\gamma\gamma}|$ (or $|\tilde{c}_{\gamma\gamma}|$) and $|c_{z\gamma}|$ (or $|\tilde{c}_{z\gamma}|$) from the combination of the $H\to b \bar b$ and $4\ell$ channels. The other couplings are either fixed to the null SM expectation (blue) or are left floating in the fit (red). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68% and 95% CL intervals.

Constraints on the square of $|c_{\gamma\gamma}|$ (or $|\tilde{c}_{\gamma\gamma}|$) and $|c_{z\gamma}|$ (or $|\tilde{c}_{z\gamma}|$) from the combination of the $H\to b \bar b$ and $4\ell$ channels. The other couplings are either fixed to the null SM expectation (blue) or are left floating in the fit (red). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68% and 95% CL intervals.

Constraints on the square of $|c_{\gamma\gamma}|$ (or $|\tilde{c}_{\gamma\gamma}|$) and $|c_{z\gamma}|$ (or $|\tilde{c}_{z\gamma}|$) from the combination of the $H\to b \bar b$ and $4\ell$ channels. The other couplings are either fixed to the null SM expectation (blue) or are left floating in the fit (red). Observed (solid) and expected (dashed) likelihood scans are shown. The dashed horizontal lines show the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Constraints on $\kappa_{u}$, $\kappa_{d}$, $\kappa_{s}$, and $\kappa_{c}$ are shown using the $H\to 4\ell$ channel.In scenario one (black), all couplings except the one being shown are fixed at their SM values. In scenario two (blue), the Yukawa couplings for the three other light quarks are left unconstrained, and BSM contributions are allowed: $\kappa_{ZZ}^2 \le 1$ and $\Gamma^\textrm{BSM}_H \ge 0$. Both observed (solid) and expected (dashed) constraints are presented. The dashed horizontal lines indicate the 68% and 95% CL intervals.

Measured inclusive fiducial H->ZZ->4l cross section as a function of the center-of-mass energy.

Postfit reconstructed distributions of the Higgs boson transverse momentum.

Postfit reconstructed distributions of the Higgs boson rapidity.

Higgs fiducial cross section in bins of pT of the Higgs boson.

Higgs fiducial cross section in bins of absolute value of rapidity of the Higgs boson.

Correlation matrix of fit in different final states

Correlation matrix of fit in pT(4l) bins

Correlation matrix of fit in abs(y(4l)) bins

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Lower limits on tab$eta$ as a function of m(A) in the mhEFT(125) scenario. Values below the black solid line are excluded at $95%$ CL

Matrix of the correlations of the systematic uncertainties between pairs of physics parameters, as obtained from the analysis to data at 13 TeV.

Matrix of the correlations between the physics parameters as obtained from the combination between the CMS 8 TeV and 13 TeV results. Correlations include both statistical and systematic uncertainties.

Observed and expected 95 % CL exclusion limits on $\tan\beta$ as a function of $m_{H^{\pm}}$, shown in the context of the mh125 scenario, for $m_{H^{\pm}}>150$ GeV and $(1 \leq \tan\beta \leq 60)$. The surrounding shaded bands correspond to the 1$\sigma$ and 2$\sigma$ confidence intervals around the expected limit.

Observed and expected 95 % CL exclusions on $\tan\beta$ as a function of $m_{H^{\pm}}$ derived from exclusion limits on $\mathrm{\cal{B}}(t\to bH^+)\times \mathrm{\cal{B}}(H^+ \to \tau \nu)$, for Type I 2HDM low mass scenario. The surrounding shaded bands correspond to the 1$\sigma$ and 2$\sigma$ confidence intervals around the expected limit.

Observed and expected 95 % CL exclusions on $\tan\beta$ as a function of $m_{H^{\pm}}$ derived from exclusion limits on $\mathrm{\cal{B}}(t\to bH^+)\times \mathrm{\cal{B}}(H^+ \to \tau \nu)$, for Lepton Specific 2HDM low mass scenario. The surrounding shaded bands correspond to the 1$\sigma$ and 2$\sigma$ confidence intervals around the expected limit.

The distribution of the $p_\mathrm{T}{}_{\mu\mathrm{-had}}^\mathrm{col}$ in the VR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top-quark, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic sources.

The distributions of $m_{\mu\mathrm{-had}}^\mathrm{col}$ corresponding to the SR selection criteria defined in the text. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top-quark, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic sources.

The distributions of $m_{\mu\mathrm{-had}}^\mathrm{col}$ corresponding to the SR_\text{std} selection criteria defined in the text. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top-quark, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic sources.

The distributions of $m_{\mu\mathrm{-had}}^\mathrm{col}$ corresponding to the SR_\text{tight} selection criteria defined in the text. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top-quark, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic sources.

The distributions of $m_{\mu\mathrm{-had}}^\mathrm{col}$ corresponding to the SR_\text{tight}^\text{std} selection criteria defined in the text. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top-quark, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic sources.

The distribution of $\Delta\phi^\mathrm{signed}_{\mu-MET}$ with all other event selection criteria applied in the SR; the straight lines indicate the positions of the selection requirements. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of $\Delta\phi^\mathrm{signed}_{\mu-MET}$ with all other event selection criteria applied in the VR; the straight lines indicate the positions of the selection requirements. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $m_{\mu\mathrm{-had}}^\mathrm{col}$ in the SR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $m_{\mu\mathrm{-had}}^\mathrm{col}$ in the VR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the SR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the VR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the muon removed from the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the SR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the muon removed from the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the VR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the leading jet in the SR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the leading jet in the VR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $\Delta{R}_{\tau\tau}^\mathrm{reco}$ between the muon and the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the SR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $\Delta{R}_{\tau\tau}^\mathrm{reco}$ between the muon and the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the VR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the reconstructed $E_\mathrm{T}^\mathrm{miss}$ in the SR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the reconstructed $E_\mathrm{T}^\mathrm{miss}$ in the VR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

Postfit pulls, constraints, and impacts (both nominal and 'global') for all nuisance parameters in the W-like Z boson mass fit (flip odd/even events to choose muon charge), sorted by the absolute value of the nominal impact.

Postfit pulls, constraints, and impacts (both nominal and 'global') for all nuisance parameters in the W-like Z boson mass fit (charge difference), sorted by the absolute value of the nominal impact.

Postfit pulls, constraints, and impacts (only nominal) for all nuisance parameters in the Z boson mass fit (using dimuon mass), sorted by the absolute value of the nominal impact.

Postfit pulls, constraints, and impacts (only nominal) for all nuisance parameters in the W boson mass fit (helicity cross section fit), sorted by the absolute value of the nominal impact.

$d\sigma^{W}/d\mathit{p}_{T}\ (pb\,/\,GeV)$: Generator-level $\mathit{p}_{T}^{W}$ distribution and uncertainty. The last column reports the result of a simultaneous fit to the single muon $(\mathit{p}_{T}^{μ}, \mathit{\eta}^{μ}, \mathit{q}^{μ})$ distribution in $W$ boson decays and the dimuon $(\mathit{p}_{T}^{μμ},\mathit{y}^{μμ})$ distribution in $Z$ boson events. The measured cross section in each bin is reported after dividing the value by the corresponding bin width.

$d\sigma^{Z}/d|\mathit{y}|\ (pb)$: Unfolded measured $\mathit{y}^{Z}$ distribution compared with the generator-level predictions before the likelihood fit or after the W-like $\mathit{m}_{Z}$ fit or from the direct fit to the $(\mathit{p}_{T}^{μμ},\mathit{y}^{μμ})$ distribution. The measured cross section in each bin is reported after dividing the value by the corresponding bin width.

$d\sigma^{Z}/d\mathit{p}_{T}\ (pb\,/\,GeV)$: Unfolded measured $\mathit{p}_{T}^{Z}$ distribution compared with the generator-level predictions before the likelihood fit or after the W-like $\mathit{m}_{Z}$ fit or from the direct fit to the $(\mathit{p}_{T}^{μμ},\mathit{y}^{μμ})$ distribution. The measured cross section in each bin is reported after dividing the value by the corresponding bin width.

$d\sigma^{W}/d\mathit{p}_{T}\ (pb\,/\,GeV)$: Generator-level $\mathit{p}_{T}^{W}$ distribution and uncertainty, before and after running the helicity fit. The measured cross section in each bin is reported after dividing the value by the corresponding bin width.

$d\sigma^{W}/d|\mathit{y}|\ (pb)$: Generator-level $\mathit{y}^{Z}$ distribution and uncertainty, before and after running the helicity fit. The measured cross section in each bin is reported after dividing the value by the corresponding bin width.

Comparison of the nominal $\mathit{m}_{W}$ measurement and its uncertainty (total or only from $\mathit{p}_{T}^{W}$ modeling), with the alternative measurements using different approaches to the $\mathit{p}_{T}^{W}$ modeling and its uncertainty. The first column reports the measured mass for each configuration, while the second one shows the difference between the measurement and the main result.

Comparison of the nominal $\mathit{m}_{W}$ measurement and its uncertainty (total or only from the CT18Z PDF set), with the alternative measurements using different PDFs and their uncertainty before the scaling procedure described in the paper text. The measured mass values are those reported in Table A.7 of the paper. The first column reports the measured mass for each configuration, while the second one shows the difference between the measurement and the main result.

Comparison of the nominal $\mathit{m}_{W}$ measurement and its uncertainty (total or only from the CT18Z PDF set), with the alternative measurements using different PDFs and their uncertainty after the scaling procedure described in the paper text. The measured mass values are those reported in Table A.7 of the paper. The scale factors for the PDF uncertainties from each set are reported in Table A.3 of the paper. The first column reports the measured mass for each configuration, while the second one shows the difference between the measurement and the main result.

The observed and expected ($\pm2\sigma$) upper limits at 95% CL on the branching ratio for $H\rightarrow aa\rightarrow \gamma\gamma\tau\tau$ as a function of the resonance mass hypothesis $m_{a}$.

The polynomial parameterisation of the total signal selection efficiency as a function of $m_{a}$, defined as the fraction of the reconstructed and selected events out of the total number of events in the signal simulated samples.

Values of the test statistic $t_{\kappa_{g,\mathrm{off-shell}}}$ as a function of $\kappa_{g,\mathrm{off-shell}}$ while profiling $\kappa_{V,\mathrm{off-shell}}$ obtained with an Asimov dataset and with data. The values with all nuisance parameters fixed at their best-fit values (stat-only) are added for comparison. The 68% and 95% confidence intervals obtained from the Neyman construction are also added.

Values of the test statistic $t_{\kappa_{V,\mathrm{off-shell}}}$ as a function of $\kappa_{V,\mathrm{off-shell}}$ while profiling $\kappa_{g,\mathrm{off-shell}}$ obtained with an Asimov dataset and with data. The values with all nuisance parameters fixed at their best-fit values (stat-only) are added for comparison. The 68% and 95% confidence intervals obtained from the Neyman construction are also added.

Values of the test statistic $t_{\kappa_{H}}$ as a function of $\kappa_{H}=\Gamma_H/\Gamma_H^{\mathrm{SM}}$ obtained with an Asimov dataset and with data. The values with all nuisance parameters fixed at their best-fit values (stat-only) are added for comparison. The 68% and 95% confidence intervals obtained from the Neyman construction are also added.

Values of the test statistic $t_{R_{gg}}$ as a function of $R_{gg}=\kappa_{g,\mathrm{on-shell}}^2/\kappa_{g,\mathrm{off-shell}}^2$ while profiling $R_{VV}=\kappa_{V,\mathrm{on-shell}}^2/\kappa_{V,\mathrm{off-shell}}^2$ and fixing $\kappa_H=1$ obtained with an Asimov dataset and with data. The values with all nuisance parameters fixed at their best-fit values (stat-only) are added for comparison. The 68% and 95% confidence intervals obtained from the Neyman construction are also added.

Values of the test statistic $t_{R_{VV}}$ as a function of $R_{VV}=\kappa_{V,\mathrm{on-shell}}^2/\kappa_{V,\mathrm{off-shell}}^2$ while profiling $R_{gg}=\kappa_{g,\mathrm{on-shell}}^2/\kappa_{g,\mathrm{off-shell}}^2$ and fixing $\kappa_H=1$ obtained with an Asimov dataset and with data. The values with all nuisance parameters fixed at their best-fit values (stat-only) are added for comparison. The 68% and 95% confidence intervals obtained from the Neyman construction are also added.

Values of the test statistic $t_{\mu_{\mathrm{off-shell}}}$ assuming a single parameter of interest $\mu_{\mathrm{off-shell}}$ obtained with an Asimov dataset and with data when combining the $H^*\rightarrow ZZ\rightarrow 4\ell$ and $H^*\rightarrow ZZ\rightarrow 2\ell 2\nu$ decay channels. The values from the histogram-based analysis (Phys. Lett. B 846 (2023) 138223) are added for comparison. The 68% and 95% confidence intervals obtained from the Neyman construction are also added.

Values of the test statistic $t_{\kappa_{H}}$ as a function of $\kappa_{H}=\Gamma_H/\Gamma_H^{\mathrm{SM}}$ obtained with an Asimov dataset and with data in the $H^*\rightarrow ZZ\rightarrow 4\ell$ decay channel. The values from the histogram-based analysis (Phys. Lett. B 846 (2023) 138223) are added for comparison. The 68% and 95% confidence intervals obtained from the Neyman construction are also added.

Values of the test statistic $t_{\kappa_{H}}$ as a function of $\kappa_{H}=\Gamma_H/\Gamma_H^{\mathrm{SM}}$ obtained with an Asimov dataset and with data when combining the $H^*\rightarrow ZZ\rightarrow 4\ell$ and $H^*\rightarrow ZZ\rightarrow 2\ell 2\nu$ decay channels. The values from the histogram-based analysis (Phys. Lett. B 846 (2023) 138223) are added for comparison. The 68% and 95% confidence intervals obtained from the Neyman construction are also added.

Values of the test statistic $t_{R_{gg}}$ as a function of $R_{gg}$ while profiling $R_{VV}$ and fixing $\kappa_H=1$ obtained with an Asimov dataset and with data. The values from the histogram-based analysis (Phys. Lett. B 846 (2023) 138223) are added for comparison. The 68% and 95% confidence intervals obtained from the Neyman construction are also added.

Values of the test statistic $t_{R_{VV}}$ as a function of $R_{VV}$ while profiling $R_{gg}$ and fixing $\kappa_H=1$ obtained with an Asimov dataset and with data. The values from the histogram-based analysis (Phys. Lett. B 846 (2023) 138223) are added for comparison. The 68% and 95% confidence intervals obtained from the Neyman construction are also added.

Distributions of p_T(Z) × ∆m in the SR after the fit to data with a (mA , mH) signal hypothesis of (1000, 850) GeV. The pre-fit signal is arbitrarily scaled and therefore omitted.

Expected 95% CL upper limits on the production cross section times branching ratio of the A → ZH → Ztt process in the (mA , mH) plane.

Expected 95% CL upper limits on the production cross section times branching ratio of the A → ZH → Ztt process in the (mA , mH) plane.

Observed 95% CL upper limits on the production cross section times branching ratio of the A → ZH → Ztt process in the (mA , mH) plane.

Observed 95% CL upper limits on the production cross section times branching ratio of the A → ZH → Ztt process in the (mA , mH) plane.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Observed local significance of the production cross section times branching ratio of the A → ZH → Ztt process in the (mA , mH) plane.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the type-II 2HDM (tan β, mA) parameter space at mH = 400 GeV, derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the (mH, mA) parameter space of the type-II 2HDM for tan β = 0.5 (blue), 1 (orange), and 1.5 (red), derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the type-II 2HDM (tan β, mA) parameter space at mH = 400 GeV, derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the type-II 2HDM (tan β, mA) parameter space at mH = 400 GeV, derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the type-II 2HDM (tanβ, cos(β−α)) parameter space at mA = 600 GeV and mH = 400 GeV, derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the type-II 2HDM (tan β, mA) parameter space at mH = 400 GeV, derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the type-II 2HDM (tanβ, cos(β−α)) parameter space at mA = 600 GeV and mH = 400 GeV, derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the type-II 2HDM (tanβ, cos(β−α)) parameter space at mA = 600 GeV and mH = 400 GeV, derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.

Median expected (dashed lines) and observed (filled contours) 95% CL exclusion regions in the type-II 2HDM (tanβ, cos(β−α)) parameter space at mA = 600 GeV and mH = 400 GeV, derived assuming narrow resonances. The enclosed regions are excluded. The dotted lines indicate points of constant natural line width of the A boson relative to its mass in the 2HDM.