Fig. 3 bottom figure - Distributions of MC simulation compared with data for reconstructed shower energy in the 1$e$0$p$0$\pi$ signal channel, along with the LEE Signal Model 2. The signal and background event categories are summed to form the unconstrained prediction (excluding LEE). Signal events correspond to $\nu_e$ CC events. Background events include $\nu$ with $\pi^0$ events, $\nu$ other events, and cosmic ray events. In Fig. 3, the LEE component is plotted on top of the constrained prediction (excluding LEE) for illustrative purposes. In all statistical tests (results summarized in Table I), the prediction under an LEE hypothesis corresponds to a constrained prediction including LEE. The statistical uncertainties of data use a combined Neyman-Pearson (CNP) version (Eq.(19) in https://doi.org/10.1016/j.nima.2020.163677).

Fig. 4 top figure - Distributions of MC simulation compared with data for reconstructed shower cos($\theta$) in the 1$e$N$p$0$\pi$ signal channel, along with the LEE Signal Model 2. The signal and background event categories are summed to form the unconstrained prediction (excluding LEE). Signal events correspond to $\nu_e$ CC events. Background events include $\nu$ with $\pi^0$ events, $\nu$ other events, and cosmic ray events. In Fig. 4, the LEE component is plotted on top of the constrained prediction (excluding LEE) for illustrative purposes. In all statistical tests (results summarized in Table I), the prediction under an LEE hypothesis corresponds to a constrained prediction including LEE. The statistical uncertainties of data use a combined Neyman-Pearson (CNP) version (Eq.(19) in https://doi.org/10.1016/j.nima.2020.163677).

Fig. 4 bottom figure - Distributions of MC simulation compared with data for reconstructed shower cos($\theta$) in the 1$e$0$p$0$\pi$ signal channel, along with the LEE Signal Model 2. The signal and background event categories are summed to form the unconstrained prediction (excluding LEE). Signal events correspond to $\nu_e$ CC events. Background events include $\nu$ with $\pi^0$ events, $\nu$ other events, and cosmic ray events. In Fig. 4, the LEE component is plotted on top of the constrained prediction (excluding LEE) for illustrative purposes. In all statistical tests (results summarized in Table I), the prediction under an LEE hypothesis corresponds to a constrained prediction including LEE. The statistical uncertainties of data use a combined Neyman-Pearson (CNP) version (Eq.(19) in https://doi.org/10.1016/j.nima.2020.163677).

Fig. 1 top figure - Reconstructed neutrino energy distributions of the 1$\mu$N$p$0$\pi$ control sample (sideband). The signal and background event categories are summed to form the unconstrained prediction. Signal events correspond to $\nu_\mu$ CC events. Background events include $\nu_e$ CC events, NC without $\pi^0$ events, NC with $\pi^0$ events, and cosmic ray events. The statistical uncertainties of data use a combined Neyman-Pearson (CNP) version (Eq.(19) in https://doi.org/10.1016/j.nima.2020.163677).

Fig. 1 middle figure - Reconstructed neutrino energy distributions of the 1$\mu$0$p$0$\pi$ control sample (sideband). The signal and background event categories are summed to form the unconstrained prediction. Signal events correspond to $\nu_\mu$ CC events. Background events include $\nu_e$ CC events, NC without $\pi^0$ events, NC with $\pi^0$ events, and cosmic ray events. The statistical uncertainties of data use a combined Neyman-Pearson (CNP) version (Eq.(19) in https://doi.org/10.1016/j.nima.2020.163677).

Fig. 1 bottom figure - Reconstructed neutrino energy distributions of the NC$\pi^{0}$ control sample (sideband). The signal and background event categories are summed to form the unconstrained prediction. Signal events correspond to NC with $\pi^0$ events. Background events include $\nu_\mu$ CC events, $\nu_e$ CC events, NC without $\pi^0$ events, and cosmic ray events. Only bins up to 1 GeV in this sideband are released and are used in the constraint procedure due to low statistics above this energy. The statistical uncertainties of data use a combined Neyman-Pearson (CNP) version (Eq.(19) in https://doi.org/10.1016/j.nima.2020.163677).

The covariance matrix includes both signal channels and sideband channels, with the LEE component either excluded or included in the signal channels. All channels are binned in reconstructed neutrino energy. Fig. 2 in Supplemental Material shows the corresponding correlation matrix. The constraint procedure uses the correlations with sideband channels to update the prediction and its uncertainty in the signal region. The matrix accounts for uncertainties and correlations between bins due to flux, cross-section, hadron reinteraction, detector systematics, MC statistics, and cosmic ray statistics. Data statistical uncertainties are not included.

The covariance matrix includes both signal channels and sideband channels, with the LEE component either excluded or included in the signal channels. Signal channels are binned shower energy and sideband channels are binned in reconstructed neutrino energy. The constraint procedure uses the correlations with sideband channels to update the prediction and its uncertainty in the signal region. The matrix accounts for uncertainties and correlations between bins due to flux, cross-section, hadron reinteraction, detector systematics, MC statistics, and cosmic ray statistics. Data statistical uncertainties are not included.

The covariance matrix includes both signal channels and sideband channels, with the LEE component either excluded or included in the signal channels. Signal channels are binned shower cos($\theta$) and sideband channels are binned in reconstructed neutrino energy. The constraint procedure uses the correlations with sideband channels to update the prediction and its uncertainty in the signal region. The matrix accounts for uncertainties and correlations between bins due to flux, cross-section, hadron reinteraction, detector systematics, MC statistics, and cosmic ray statistics. Data statistical uncertainties are not included.

The covariance matrices of the sideband channels, binned in reconstructed neutrino energy. The systematic covariance matrix accounts for uncertainties and correlations between bins due to flux, cross-section, hadron reinteraction, detector systematics, MC statistics, and cosmic ray statistics. The total covariance matrix additionally includes data statistical uncertainties (CNP version). The $\chi^2$ values shown in Fig. 1 are calculated using this total covariance matrix, together with the data and MC predictions from the released sideband distribtions.

The unconstrained covariance matrices of the signal channels, binned in reconstructed neutrino energy, with the LEE component either excluded or included. The systematic covariance matrix accounts for uncertainties and correlations between bins due to flux, cross-section, hadron reinteraction, detector systematics, MC statistics, and cosmic ray statistics. The total covariance matrix additionally includes data statistical uncertainties (CNP version). The unconstrained systematic uncertainty in neutrino energy, shown in Supplemental Material Fig. 19, is derived from this systematic covariance matrix (excluding LEE).

The constrained covariance matrices of the signal channels, binned in reconstructed neutrino energy, with the LEE component either excluded or included. The constrained systematic uncertainty in neutrino energy, shown in Supplemental Material Fig. 19, is derived from the systematic covariance matrix (excluding LEE). The $\chi^2$ values shown in Fig. 2 and Table I are calculated using these total covariance matrices, together with the data and constrained predictions from the released signal distributions under the $H_0$ hypothesis (LEE excluded) and $H_1$ hypothesis (LEE included).

The unconstrained covariance matrices of the signal channels, binned in reconstructed shower energy, with the LEE component either excluded or included. The systematic covariance matrix accounts for uncertainties and correlations between bins due to flux, cross-section, hadron reinteraction, detector systematics, MC statistics, and cosmic ray statistics. The total covariance matrix additionally includes data statistical uncertainties (CNP version). The unconstrained systematic uncertainty in shower energy, shown in Supplemental Material Fig. 20, is derived from this systematic covariance matrix (excluding LEE).

The constrained covariance matrices of the signal channels, binned in reconstructed shower energy, with the LEE component either excluded or included. The constrained systematic uncertainty in shower energy, shown in Supplemental Material Fig. 20, is derived from the systematic covariance matrix (excluding LEE). The $\chi^2$ values shown in Fig. 3 and Table I are calculated using these total covariance matrices, together with the data and constrained predictions from the released signal distributions under the $H_0$ hypothesis (LEE excluded) and $H_1$ hypothesis (LEE included).

The unconstrained covariance matrices of the signal channels, binned in reconstructed shower cos($\theta$), with the LEE component either excluded or included. The systematic covariance matrix accounts for uncertainties and correlations between bins due to flux, cross-section, hadron reinteraction, detector systematics, MC statistics, and cosmic ray statistics. The total covariance matrix additionally includes data statistical uncertainties (CNP version). The unconstrained systematic uncertainty in shower cos($\theta$), shown in Supplemental Material Fig. 21, is derived from this systematic covariance matrix (excluding LEE).

The constrained covariance matrices of the signal channels, binned in reconstructed shower cos($\theta$), with the LEE component either excluded or included. The constrained systematic uncertainty in shower cos($\theta$), shown in Supplemental Material Fig. 21, is derived from the systematic covariance matrix (excluding LEE). The $\chi^2$ values shown in Fig. 4 and Table I are calculated using these total covariance matrices, together with the data and constrained predictions from the released signal distributions under the $H_0$ hypothesis (LEE excluded) and $H_1$ hypothesis (LEE included).

Cutflow for signal samples in the muon-tau channel for 2016 signal samples. Each entry other than the total is the relative efficiency with respect to the previous selection.

Cutflow for signal samples in the muon-tau channel for 2017 signal samples. Each entry other than the total is the relative efficiency with respect to the previous selection.

Cutflow for signal samples in the muon-tau channel for 2018 signal samples. Each entry other than the total is the relative efficiency with respect to the previous selection.

Cutflow for signal samples in the electron-tau channel for 2016 signal samples. Each entry other than the total is the relative efficiency with respect to the previous selection.

Cutflow for signal samples in the electron-tau channel for 2017 signal samples. Each entry other than the total is the relative efficiency with respect to the previous selection.

Cutflow for signal samples in the electron-tau channel for 2018 signal samples. Each entry other than the total is the relative efficiency with respect to the previous selection.

Yields for the muon-tau channel in 2016 as a function of reconstructed mass. Data and each background are listed with their respective uncertainties. The last bin contains the overflow bin.

Yields for the muon-tau channel in 2017 as a function of reconstructed mass. Data and each background are listed with their respective uncertainties. The last bin contains the overflow bin.

Yields for the muon-tau channel in 2018 as a function of reconstructed mass. Data and each background are listed with their respective uncertainties. The last bin contains the overflow bin.

Yields for the electron-tau channel in 2016 as a function of reconstructed mass. Data and each background are listed with their respective uncertainties. The last bin contains the overflow bin.

Yields for the electron-tau channel in 2017 as a function of reconstructed mass. Data and each background are listed with their respective uncertainties. The last bin contains the overflow bin.

Yields for the electron-tau channel in 2018 as a function of reconstructed mass. Data and each background are listed with their respective uncertainties. The last bin contains the overflow bin.

Yields for the di-tau channel in 2016 as a function of reconstructed mass. Data and each background are listed with their respective uncertainties. The last bin contains the overflow bin.

Yields for the di-tau channel in 2017 as a function of reconstructed mass. Data and each background are listed with their respective uncertainties. The last bin contains the overflow bin.

Yields for the di-tau channel in 2018 as a function of reconstructed mass. Data and each background are listed with their respective uncertainties. The last bin contains the overflow bin.

Covariance matrix for all bins and all channels used in the background-only fit of this analysis. There are the e-tau, the mu-tau, and the tau-tau analysis channels, each present for 2016, 2017, and 2018. Each has 6 bins in the reconstructed mass (mrec[GeV]) indicated with their borders in the bin naming. The bin labels have channel name, year name, then bin name.

95% confidence level expected limit with 1 and 2 sigma uncertainties, as well as observed limits on Z' model cross section times branching ratio to di-tau in the e-tau channel.

95% confidence level expected limit with 1 and 2 sigma uncertainties, as well as observed limits on Z' model cross section times branching ratio to di-tau in the mu-tau channel.

95% confidence level expected limit with 1 and 2 sigma uncertainties, as well as observed limits on Z' model cross section times branching ratio to ditau in the ditau channel.

95% confidence level expected limit with 1 and 2 sigma uncertainties, as well as observed limits on Z' model cross section times branching ratio to ditau for the combination of all channels.

Exclusion limits on the production cross section of the Wkk -> WR model from the different anomaly detection methods

Exclusion limits on the production cross section of the G -> HH model from the different anomaly detection methods

Exclusion limits on the production cross section times acceptance times efficiency for generic Double Crystal Ball signal shape from the VAE-QR method

Exclusion limits on the production cross section times acceptance times efficiency for generic Double Crystal Ball signal shape from the CWoLa Hunting method

Exclusion limits on the production cross section times acceptance times efficiency for generic Double Crystal Ball signal shape from the TNT method

Exclusion limits on the production cross section times acceptance times efficiency for generic Double Crystal Ball signal shape from the CATHODE method

Exclusion limits on the production cross section times acceptance times efficiency for generic Double Crystal Ball signal shape from the CATHODE-b method

Exclusion limits on the production cross section times acceptance times efficiency for generic Double Crystal Ball signal shape from the QUAK - generic method

Number of events for the different lepton flavour categories in the signal region accounting for the fit to data. The hatched band includes all systematic uncertainties in the MC prediction. The vertical bars of the data account for the statistical uncertainty. The ratio panels show the ratio between data (black markers) with respect to the total prediction after the fit to data. Processes with a small contribution to this region are grouped in the ``Other" category

Sum of the charge of the final-state leptons in the signal region accounting for the fit to data. This distribution is not included in the fit. The hatched band includes all systematic uncertainties in the MC prediction. The vertical bars of the data account for the statistical uncertainty. The ratio panels show the ratio between data (black markers) with respect to the total prediction after the fit to data. Processes with a small contribution to this region are grouped in the ``Other" category.

Invariant mass of the trilepton system in the signal region accounting for the fit to data. This distribution is not included in the fit. The hatched band includes all systematic uncertainties in the MC prediction. The vertical bars of the data account for the statistical uncertainty. The ratio panels show the ratio between data (black markers) with respect to the total prediction after the fit to data. Processes with a small contribution to this region are grouped in the ``Other" category

Measured fiducial cross sections and their corresponding uncertainties for the flavourexclusive and flavour-inclusive categories. The predictions from both POWHEG at NLO in QCD and LO EW as well as several ones obtained from MATRIX (NLO QCD, NNLO QCD, NNLO QCD × NLO EW) are also included

Total WZ production cross section for each of the flavour-exclusive and for the flavour-inclusive categories. The vertical bands show different theoretical predictions for the WZ cross section at NLO in QCD (red dashed line) and NNLO QCD × NLO EW (blue solid line), as well as their corresponding scale uncertainties. For each measurement, the best fit value is denoted with a purple point, with two delimiters on the error bars that account for the total and statistical uncertainties

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.

$A_{LL}$ as a function of parton-level invariant mass for dijets with the East barrel-endcap.

$A_{LL}$ as a function of parton-level invariant mass for dijets with the West barrel-endcap.

$A_{LL}$ as a function of parton-level invariant mass for dijets with the endcap-endcap.

Observed two-dimensional likelihood scans for $c_{Hq}^{(1)}$ vs. $c_{Hq}^{(3)}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hq}^{(1)}$ vs. $c_{Hu}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hq}^{(1)}$ vs. $c_{Hu}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hq}^{(1)}$ vs. $c_{Hd}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hq}^{(1)}$ vs. $c_{Hd}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hq}^{(3)}$ vs. $c_{Hu}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hq}^{(3)}$ vs. $c_{Hu}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hq}^{(3)}$ vs. $c_{Hd}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hq}^{(3)}$ vs. $c_{Hd}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hu}$ vs. $c_{Hd}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hu}$ vs. $c_{Hd}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hq}^{(1)}$ vs. $g^{(2)}_{ZZ}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hq}^{(1)}$ vs. $g^{(2)}_{ZZ}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hq}^{(3)}$ vs. $g^{(2)}_{ZZ}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hq}^{(3)}$ vs. $g^{(2)}_{ZZ}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hu}$ vs. $g^{(2)}_{ZZ}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hu}$ vs. $g^{(2)}_{ZZ}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hq}^{(1)}$ vs. $g^{(4)}_{ZZ}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hq}^{(1)}$ vs. $g^{(4)}_{ZZ}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hq}^{(3)}$ vs. $g^{(4)}_{ZZ}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hq}^{(3)}$ vs. $g^{(4)}_{ZZ}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hu}$ vs. $g^{(4)}_{ZZ}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hu}$ vs. $g^{(4)}_{ZZ}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hd}$ vs. $g^{(2)}_{ZZ}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hd}$ vs. $g^{(2)}_{ZZ}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $c_{Hd}$ vs. $g^{(4)}_{ZZ}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $c_{Hd}$ vs. $g^{(4)}_{ZZ}$ while other coefficients are fixed at their SM values.

Observed two-dimensional likelihood scans for $g^{(2)}_{ZZ}$ vs. $g^{(4)}_{ZZ}$ while allowing the other coefficients to float freely at each point of the sca.

Observed two-dimensional likelihood scans for $g^{(2)}_{ZZ}$ vs. $g^{(4)}_{ZZ}$ while other coefficients are fixed at their SM values.

Invariant mass distribution of final state particles in SR1 HF category ($\text{H}\to\text{J}/\psi\gamma$ signal)

Invariant mass distribution of final state particles in SR1 Z-LP category ($\text{Z}\to\text{J}/\psi\gamma$ signal)

Invariant mass distribution of final state particles in SR1 Z-HP category ($\text{Z}\to\text{J}/\psi\gamma$ signal)

Invariant mass distribution of final state particles in SR2 category ($\text{H}\to\psi(\text{2S})\gamma$ signal)

Invariant mass distribution of final state particles in SR2 category ($\text{H}\to\psi(\text{2S})\gamma$ signal)

Invariant mass distribution of final state particles in control region category ($\text{H}\to\mu\mu\gamma$ background)

Observed and expected (with $\pm 1$, $\pm 2$ standard deviation bands) exclusion limits at 95% C.L. on the branching fraction $\mathcal{B}$ of the $(\text{H,Z}) \to \psi(\text{nS})\gamma$ decays

Observed (expected) upper limits at 95% C.L. on the normalized values with respect to the SM expectation, denoted as the signal strength parameter $\mu$, of the product of the cross section $\sigma$ and the branching fraction $\mathcal{B}$ of the $(\text{H,Z}) \to \psi(\text{nS})\gamma$ decays, and the branching fraction, assuming a SM Z and H boson cross section.

Results for the $P_3$ angular observable. The first uncertainties are statistical and the second systematic.

Results for the $P_4^\prime$ angular observable. The first uncertainties are statistical and the second systematic.

Results for the $P_5^\prime$ angular observable. The first uncertainties are statistical and the second systematic.

Results for the $P_6^\prime$ angular observable. The first uncertainties are statistical and the second systematic.

Results for the $P_8^\prime$ angular observable. The first uncertainties are statistical and the second systematic.

Results for the CP averaged observables $F_L$ and $P_1$–$P_8^\prime$. The first uncertainties are statistical and the second systematic.

Correlation matrix of angular observables Fl and P1–P8', considering only the statistical uncertainties from the maximum-likelihood fit in the interval 1.1 < $q^2$ < 2 GeV$^2$

Correlation matrix of angular observables Fl and P1–P8', considering only the statistical uncertainties from the maximum-likelihood fit in the interval 2 < $q^2$ < 4.3 GeV$^2$

Correlation matrix of angular observables Fl and P1–P8', considering only the statistical uncertainties from the maximum-likelihood fit in the interval 4.3 < $q^2$ < 6 GeV$^2$

Correlation matrix of angular observables Fl and P1–P8', considering only the statistical uncertainties from the maximum-likelihood fit in the interval 6 < $q^2$ < 8.68 GeV$^2$

Correlation matrix of angular observables Fl and P1–P8', considering only the statistical uncertainties from the maximum-likelihood fit in the interval 10.09 < $q^2$ < 12.86 GeV$^2$

Correlation matrix of angular observables Fl and P1–P8', considering only the statistical uncertainties from the maximum-likelihood fit in the interval 14.18 < $q^2$ < 16 GeV$^2$

Breakdown of relative systematic uncertainties in the measured ${t\bar{t}}$ cross-section. The quoted uncertainties are obtained by repeating the fit with a group of nuisance parameters fixed to their fitted values and subtracting in quadrature the resulting total uncertainty from the uncertainty of the complete fit. However, the total uncertainty is not the quadratic sum of the grouped impacts, as this approach neglects the correlation among the different groups.

The figure shows the measurement of the top quark pair production cross-section, $\sigma_{t\bar{t}}$, in lead-lead (Pb+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV, based on 1.9 nb$^{-1}$ of data.