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.

Covariance matrix showing uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Pearson data statistical uncertainties have been included, and include small correlations due to events which can be selected by both WC and Pandora. The first four bins are the WC $1\gamma Np$, WC $1\gamma 0p$, Pandora $1\gamma 1p$, and Pandora $1\gamma 0p$ channels, and the next four sets of 16 bins are the NC $\pi^0 Np$, NC $\pi^0 0p$, $\nu_\mu$CC $Np$, and $\nu_\mu$CC $0p$ channels. This corresponds to Fig. 1 of the paper and Fig. 6 of the Supplemental Material.

Constrained WC $1\gamma Np$ energy distribution. There are 6 bins from 0 to 600 MeV of reconstructed shower energy, with an additional overflow bin. Constrained systematic uncertainties on the predictions are illustrated, and a more detailed covariance matrix is included in the Constrained Energy Distributions Covariance Matrix tab. This corresponds to Fig. 2 of the paper.

Constrained WC $1\gamma 0p$ energy distribution. There are 14 bins from 0 to 700 MeV of reconstructed shower energy, with an additional overflow bin. Constrained systematic uncertainties on the predictions are illustrated, and a more detailed covariance matrix is included in the Constrained Energy Distributions Covariance Matrix tab. This corresponds to Fig. 2 of the paper.

Constrained Pandora $1\gamma 1p$ energy distribution. There are 6 bins from 0 to 600 MeV of reconstructed shower energy, with an additional overflow bin. Constrained systematic uncertainties on the predictions are illustrated, and a more detailed covariance matrix is included in the Constrained Energy Distributions Covariance Matrix tab. This corresponds to Fig. 2 of the paper.

Constrained Pandora $1\gamma 0p$ energy distribution. There are 14 bins from 0 to 700 MeV of reconstructed shower energy, with an additional overflow bin. Constrained systematic uncertainties on the predictions are illustrated, and a more detailed covariance matrix is included in the Constrained Energy Distributions Covariance Matrix tab. This corresponds to Fig. 2 of the paper.

Constrained covariance matrix showing constrained uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Pearson data statistical uncertainties have been included, and include small correlations due to events which can be selected by both WC and Pandora. The first seven bins are the WC $1\gamma Np$ reconstructed shower energy from 0-600 MeV with an overflow bin, the next 15 bins are the WC $1\gamma 0p$ reconstructed shower energy from 0-700 MeV with an overflow bin, the next seven bins are the Pandora $1\gamma 1p$ reconstructed shower energy from 0-600 MeV with an overflow bin, and the last 15 bins are the Pandora $1\gamma 0p$ reconstructed shower energy from 0-700 MeV with an overflow bin. This corresponds to Fig. 2 of the paper.

2D efficiency matrix showing the efficiency of the WC $1\gamma Np$ selection with respect to all true NC Delta Radiative Decay events which interact in the fiducial volume. The efficiency is shown as a function of true photon energy and angle. There are 10 bins from -1 to 1 in true photon $\cos \theta$ and 15 bins from 0 to 1500 MeV in true photon energy. NaN values indicate a "divide by zero" case where zero events were present in the bin before any selection was applied. This corresponds to Fig. 9 of the Supplemental Material.

2D efficiency matrix showing the efficiency of the WC $1\gamma 0p$ selection with respect to all true NC Delta Radiative Decay events which interact in the fiducial volume. The efficiency is shown as a function of true photon energy and angle. There are 10 bins from -1 to 1 in true photon $\cos \theta$ and 30 bins from 0 to 1500 MeV in true photon energy. NaN values indicate a "divide by zero" case where zero events were present in the bin before any selection was applied. This corresponds to Fig. 9 of the Supplemental Material.

2D efficiency matrix showing the efficiency of the Pandora $1\gamma 1p$ selection with respect to all true NC Delta Radiative Decay events which interact in the fiducial volume. The efficiency is shown as a function of true photon energy and angle. There are 10 bins from -1 to 1 in true photon $\cos \theta$ and 15 bins from 0 to 1500 MeV in true photon energy, with lower bin edges indicated in the table. NaN values indicate a "divide by zero" case where zero events were present in the bin before any selection was applied. This corresponds to Fig. 9 of the Supplemental Material.

2D efficiency matrix showing the efficiency of the Pandora $1\gamma 0p$ selection with respect to all true NC Delta Radiative Decay events which interact in the fiducial volume. The efficiency is shown as a function of true photon energy and angle. There are 10 bins from -1 to 1 in true photon $\cos \theta$ and 30 bins from 0 to 1500 MeV in true photon energy, with lower bin edges indicated in the table. NaN values indicate a "divide by zero" case where zero events were present in the bin before any selection was applied. This corresponds to Fig. 9 of the Supplemental Material.

2D efficiency matrix showing the efficiency of the WC $1\gamma 0p$ selection with respect to all true zero-primary-final-state-proton NC Delta Radiative Decay events which interact in the fiducial volume. The efficiency is shown as a function of true photon energy and angle. There are 10 bins from -1 to 1 in true photon $\cos \theta$ and 30 bins from 0 to 1500 MeV in true photon energy, with lower bin edges indicated in the table. NaN values indicate a "divide by zero" case where zero events were present in the bin before any selection was applied.

2D efficiency matrix showing the efficiency of the Pandora $1\gamma 0p$ selection with respect to all true zero-primary-final-state-proton NC Delta Radiative Decay events which interact in the fiducial volume. The efficiency is shown as a function of true photon energy and angle. There are 10 bins from -1 to 1 in true photon $\cos \theta$ and 30 bins from 0 to 1500 MeV in true photon energy, with lower bin edges indicated in the table. NaN values indicate a "divide by zero" case where zero events were present in the bin before any selection was applied.

Upsilon 1S+2S+3S integrated cross section.

Upsilon 1S+2S+3S invariant cross section.

Upsilon 2S and 3S invariant cross section.

Upsilon 1S+2S+3S invariant cross section vs. rapidity.

Upsilon 1S invariant cross section.

Upsilon 2S invariant cross section.

Upsilon 3S invariant cross section.

Upsilon 1S invariant cross section vs. rapidity.

Upsilon 2S invariant cross section vs. rapidity.

Upsilon 3S invariant cross section vs. rapidity.

Upsilon x_{T} dependence

Upsilon x_{T} dependence.

Upsilon cross section ratios vs. collision energy.

Upsilon cross section ratios vs. charged particle multiplicity.

Upsilon cross section ratios vs. charged particle multiplicity.

Upsilon cross section ratios vs. charged particle multiplicity.

Upsilon cross section ratios vs. charged particle multiplicity.

Upsilon cross section ratios vs. charged particle multiplicity.

Self-normalized Upsilon ratio vs. charged particle multiplicity

Self-normalized Upsilon ratio vs. charged particle multiplicity

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

$a_2(1320)$ differential cross section in the m=-2 projection split into different reflectivity components, $\frac{d\sigma^+_{-2}}{dt}$ and $\frac{d\sigma^-_{-2}}{dt}$, in bins of four-momentum transfer. The first uncertainty is statistical, the second systematic.

$a_2(1320)$ differential cross section in the m=0 projection split into different reflectivity components, $\frac{d\sigma^+_{0}}{dt}$ and $\frac{d\sigma^-_{0}}{dt}$, in bins of four-momentum transfer. The first uncertainty is statistical, the second systematic.

$a_2(1320)$ differential cross section in the m=+1 projection split into different reflectivity components, $\frac{d\sigma^+_{+1}}{dt}$ and $\frac{d\sigma^-_{+1}}{dt}$, in bins of four-momentum transfer. The first uncertainty is statistical, the second systematic.

$a_2(1320)$ differential cross section in the m=+2 projection split into different reflectivity components, $\frac{d\sigma^+_{+2}}{dt}$ and $\frac{d\sigma^-_{+2}}{dt}$, in bins of four-momentum transfer. The first uncertainty is statistical, the second systematic.

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.

Cutflow for VBF Z' to WW in ditau 2016 channel for different signal scenarios

Cutflow for VBF Z' to WW in ditau 2017 channel for different signal scenarios

Cutflow for VBF Z' to WW in ditau 2018 channel for different signal scenarios

Cutflow for VBF Z' to tautau in mutau 2016 channel for different signal scenarios

Cutflow for VBF Z' to tautau in mutau 2017 channel for different signal scenarios

Cutflow for VBF Z' to tautau in mutau 2018 channel for different signal scenarios

Cutflow for VBF Z' to WW in mutau 2016 channel for different signal scenarios

Cutflow for VBF Z' to WW in mutau 2017 channel for different signal scenarios

Cutflow for VBF Z' to WW in mutau 2018 channel for different signal scenarios

Cutflow for VBF Z' to tautau in etau 2016 channel for different signal scenarios

Cutflow for VBF Z' to tautau in etau 2017 channel for different signal scenarios

Cutflow for VBF Z' to tautau in etau 2018 channel for different signal scenarios

Cutflow for VBF Z' to WW in etau 2016 channel for different signal scenarios

Cutflow for VBF Z' to WW in etau 2017 channel for different signal scenarios

Cutflow for VBF Z' to WW in etau 2018 channel for different signal scenarios

Cutflow for VBF Z' to tautau in emu 2016 channel for different signal scenarios

Cutflow for VBF Z' to tautau in emu 2017 channel for different signal scenarios

Cutflow for VBF Z' to tautau in emu 2018 channel for different signal scenarios

Cutflow for VBF Z' to WW in emu 2016 channel for different signal scenarios

Cutflow for VBF Z' to WW in emu 2017 channel for different signal scenarios

Cutflow for VBF Z' to WW in emu 2018 channel for different signal scenarios

Observed and expected background yields for different mass ranges in the mutau channel. The quoted uncertainty includes both the statistical and the systematic components. The last bin contains the overflow bin.

Observed and expected background yields for different mass ranges in the ditau channel. The quoted uncertainty includes both the statistical and the systematic components. The last bin contains the overflow bin.

Observed and expected background yields for different mass ranges in the etau channel. The quoted uncertainty includes both the statistical and the systematic components. The last bin contains the overflow bin.

Observed and expected background yields for different mass ranges in the emu channel. The quoted uncertainty includes both the statistical and the systematic components. The last bin contains the overflow bin.

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to tautau, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 0 and $k_V = 0.1.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to tautau, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 0 and $k_V = 0.25.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to tautau, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 0 and $k_V = 0.50.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to tautau, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 0 and $k_V = 0.75.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to tautau, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 0 and $k_V = 1.0.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to tautau, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 1 and $k_V = 0.1.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to tautau, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 1 and $k_V = 0.25.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to tautau, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 1 and $k_V = 0.50.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to tautau, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 1 and $k_V = 0.75.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to tautau, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 1 and $k_V = 1.0.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to WW, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 0 and $k_V = 0.1.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to WW, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 0 and $k_V = 0.25.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to WW, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 0 and $k_V = 0.50.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to WW, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 0 and $k_V = 0.75.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to WW, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 0 and $k_V = 1.0.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to WW, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 1 and $k_V = 0.1.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to WW, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 1 and $k_V = 0.25.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to WW, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 1 and $k_V = 0.50.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to WW, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 1 and $k_V = 0.75.$

Combined $95\%$ confidence level expected and observed upper limits on the product of the $\mathrm{Z'}$ cross section and the branching fraction for a $\mathrm{Z'}$ boson decaying to WW, as a function of $\mathrm{Z'}$ mass and assuming g_(1,2) = 1 and $k_V = 1.0.$

Cross sections for different signal models for VBF Z'. To calculate cross section for branching fraction (br) 0.20 and kV = 0.1, subsitute the values in (br {x} $\kappa_{V}^{2}$ {x} xsec)

Combined 95% CL lower limits on m(Z') as a function of the Z' branching fraction to tautau for g_(1,2)=0 scenario. The observed limits corresponding to $\kappa_V$ equal to 0.1, 0.5, and 1.0 are shown here.

Combined 95% CL lower limits on m(Z') as a function of the Z' branching fraction to tautau for g_(1,2)=1 scenario. The observed limits corresponding to $\kappa_V$ equal to 0.1, 0.5, and 1.0 are shown here.

Combined 95% CL lower limits on m(Z') as a function of the Z' branching fraction to WW for g_(1,2)=0 scenario. The observed limits corresponding to $\kappa_V$ equal to 0.1, 0.5, and 1.0 are shown here.

Combined 95% CL lower limits on m(Z') as a function of the Z' branching fraction to WW for g_(1,2)=1 scenario. The observed limits corresponding to $\kappa_V$ equal to 0.1, 0.5, and 1.0 are shown here.

The measured differential cross-sections and the predictions from the GM-VFNS calculation for the $D_s^\pm$ meson in bins of $p_T$ for $|\eta| < 2.5$. The statistical, systematic (excluding branching ratio) and branching ratio uncertainties are shown separately for data, while the total theory uncertainties are shown for GM-VFNS.

Inclusive $D^\pm$ meson production cross-sections in different fiducial volumes defined by $|\eta|<2.5$ and different $p_T$ regions. For the ATLAS measurements, the statistical, systematic (excluding branching ratio) and branching ratio uncertainties are shown separately; for the theoretical predictions, the total theoretical uncertainties are shown.

Inclusive $D_s^\pm$ meson production cross-sections in different fiducial volumes defined by $|\eta|<2.5$ and different $p_T$ regions. For the ATLAS measurements, the statistical, systematic (excluding branching ratio) and branching ratio uncertainties are shown separately; for the theoretical predictions, the total theoretical uncertainties are shown.

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.