$\gamma p \rightarrow J/\psi p$ differential cross sections 10.36–11.44 GeV beam energy range, average $t$ and beam energy in bins of $t$. The first cross section uncertainties are statistical, and the second are systematic. The overall average beam energy is 10.82 GeV. There is an additional fully correlated systematic uncertainty of 19.5% on the total cross section, not included here.

The total coherent $\mathrm{J}/\psi$ photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$, measured in PbPb ultra-peripheral collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV. The $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$ values used correspond to the center of each rapidity range. The theoretical uncertainties is due to the uncertainties in the photon flux.

The nuclear gluon suppression factor $R_{\mathrm{g}}^{\mathrm{Pb}}$ as a function of Bjorken $x$ extracted from the CMS measurement of the coherent $\mathrm{J}/\psi$ photoproduction in PbPb ultra-peripheral collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV. The $x$ values are evaluated at the centers of their corresponding rapidity ranges. The theoretical uncertainties are due to the uncertainties in the photon flux and the impulse approximation model.

The nuclear gluon suppression factor $R_{\mathrm{g}}^{\mathrm{Pb}}$ as a function of Bjorken $x$ extracted from the CMS measurement of the coherent $\mathrm{J}/\psi$ photoproduction in PbPb ultra-peripheral collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV. The $x$ values are evaluated at the centers of their corresponding rapidity ranges. The theoretical uncertainties are due to the uncertainties in the photon flux and the impulse approximation model.

The total covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The covariance matrix includes both the experimental and theoretical (photon flux) uncertainties. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

The photon flux values from STARLight as a function of rapidity, in different neutron multiplicity classes: 0n0n, 0nXn, and XnXn.

The experimental covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

The covariance matrix for the flux in the 0n0n neutron multiplicity class.

The theoretical (photon flux) covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

The covariance matrix for the flux in the 0nXn neutron multiplicity class.

The covariance matrix for the flux in the XnXn neutron multiplicity class.

The total covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The covariance matrix includes both the experimental and theoretical (photon flux) uncertainties. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

The experimental covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

The theoretical (photon flux) covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

$M_{p\eta}$ invariant mass distribution for $E_\gamma$ = 1400-1500 MeV.

$M_{p\eta}$ invariant mass distribution for $E_\gamma$ = 1500-1600 MeV.

$M_{p\eta}$ invariant mass distribution under the conditions: $E_\gamma$ = 1400-1500 MeV; 1120 MeV $\leq M_{p\pi^0} \leq$ 1220 MeV; $\theta_p^{lab} \leq$ 25°; 25° $\leq \theta_\gamma^{lab} \leq$ 155°.

$M_{p\eta}$ invariant mass distribution under the conditions: $E_\gamma$ = 1400-1500 MeV; 1120 MeV $\leq M_{p\pi^0} \leq$ 1220 MeV; $\theta_p^{lab} \leq$ 25°; 1° $\leq \theta_\gamma^{lab} \leq$ 155°.

$M_{p\eta}$ invariant mass distribution for $E_\gamma$ = 1400-1500 MeV and $M_{p\pi^0} \leq$ 1190 MeV, allowing for all proton and photon laboratory angles.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1420-1540 MeV and $M_{p\pi^0} \leq$ 1170 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1420-1540 MeV and $M_{p\pi^0} \leq$ 1180 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1420-1540 MeV and $M_{p\pi^0} \leq$ 1190 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1420-1540 MeV and $M_{p\pi^0} \leq$ 1200 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1420-1540 MeV and $M_{p\pi^0} \leq$ 1210 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1420-1540 MeV and $M_{p\pi^0} \leq$ 1220 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1400-1420 MeV and $M_{p\pi^0} \leq$ 1190 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1420-1460 MeV and $M_{p\pi^0} \leq$ 1190 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1460-1500 MeV and $M_{p\pi^0} \leq$ 1190 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1500-1540 MeV and $M_{p\pi^0} \leq$ 1190 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1540-1600 MeV and $M_{p\pi^0} \leq$ 1190 MeV.

$M_{p\eta}$ invariant mass distribution for the incident photon energy range $E_\gamma$ = 1420-1540 MeV and $M_{p\pi^0} \leq$ 1190 MeV.

Excess yield relative to the PWA distributions in the invariant mass distributions $M^2_{p\eta}$.

Excess yield relative to the PWA distributions in the invariant mass distributions $M^2_{\pi^0\eta}$.

Excess yield relative to the PWA distributions in the invariant mass distributions $M^2_{p\pi^0}$, with a cut on the structure in the $M^2_{p\eta}$ invariant mass distribution.

Excess yield relative to the PWA distributions in the $p-\eta$ opening angle distribution in the $\gamma p$ centre-of-mass system.

Excess yield relative to the PWA distributions in the $p-\eta$ opening angle distribution in the $\gamma p$ centre-of-mass system.

Excess yield relative to the PWA distributions in the $\pi^0-\eta$ opening angle distribution in the $\gamma p$ centre-of-mass system.

Excess yield relative to the PWA distributions in the $\pi^0-\eta$ opening angle distribution in the $\gamma p$ centre-of-mass system.

Differential cross section $d\sigma/dM_{\pi^0\eta}$ for $E_\gamma$ = 1540-1600 MeV.

$M_{p\eta}$ invariant mass distribution, taken as difference to the PWA calculations (s. Fig. 11).

$M_{\pi^0\eta}$ invariant mass distribution, taken as difference to the PWA calculations (s. Fig. 11).

$\theta_{p\eta}$ opening angle distribution, taken as difference to the PWA calculations (s. Fig. 12).

$\theta_{\pi^0\eta}$ opening angle distribution, taken as difference to the PWA calculations (s. Fig. 12).

Differential fiducial cross section (without the acceptance correction) for the DY process measured in the muon channel, as a function of $p_{\textrm{T}}$ for $15<m_{\mu\mu}<60$ GeV. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Differential fiducial cross section (without the acceptance correction) for the DY process measured in the muon channel, as a function of $p_{\textrm{T}}$ for $60<m_{\mu\mu}<120$ GeV. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Differential fiducial cross section (without the acceptance correction) for the DY process measured in the muon channel, as a function of $\phi^*$ for $15<m_{\mu\mu}<60$ GeV. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Differential fiducial cross section (without the acceptance correction) for the DY process measured in the muon channel, as a function of $\phi^*$ for $60<m_{\mu\mu}<120$ GeV. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Integrated fiducial cross section for the DY process measured in the muon channel. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Differential cross section for the DY process measured in the muon channel, as a function of dimuon invariant mass. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Differential cross section for the DY process measured in the muon channel, as a function of rapidity in the centre-of-mass frame for $15<m_{\mu\mu}<60$ GeV. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Differential cross section for the DY process measured in the muon channel, as a function of rapidity in the centre-of-mass frame for $60<m_{\mu\mu}<120$ GeV. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Differential cross section for the DY process measured in the muon channel, as a function of $p_{\textrm{T}}$ for $15<m_{\mu\mu}<60$ GeV. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Differential cross section for the DY process measured in the muon channel, as a function of $p_{\textrm{T}}$ for $60<m_{\mu\mu}<120$ GeV. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Differential cross section for the DY process measured in the muon channel, as a function of $\phi^*$ for $15<m_{\mu\mu}<60$ GeV. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Differential cross section for the DY process measured in the muon channel, as a function of $\phi^*$ for $60<m_{\mu\mu}<120$ GeV. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Integrated cross section for the DY process measured in the muon channel. The quoted error is the quadratic sum of the statistical and systematic uncertainties. The global normalisation uncertainty of 3.5% is listed separately.

Forward-backward ratios for $15<m_{\mu\mu}<60$ GeV. Quoted uncertainties are the quadratic sum of the statistical and systematic uncertainties.

Forward-backward ratios for $60<m_{\mu\mu}<120$ GeV. Quoted uncertainties are the quadratic sum of the statistical and systematic uncertainties.

Correlation matrix for the systematic uncertainties, excluding integrated luminosity, as a function of dimuon invariant mass.

Correlation matrix for the systematic uncertainties, excluding integrated luminosity, as a function of rapidity in the centre-of-mass frame for $15<m_{\mu\mu}<60$ GeV.

Correlation matrix for the systematic uncertainties, excluding integrated luminosity, as a function of rapidity in the centre-of-mass frame for $60<m_{\mu\mu}<120$ GeV.

Correlation matrix for the systematic uncertainties, excluding integrated luminosity, as a function of $p_{\textrm{T}}$ for $15<m_{\mu\mu}<60$ GeV.

Correlation matrix for the systematic uncertainties, excluding integrated luminosity, as a function of $p_{\textrm{T}}$ for $60<m_{\mu\mu}<120$ GeV.

Correlation matrix for the systematic uncertainties, excluding integrated luminosity, as a function of $\phi^*$ for $15<m_{\mu\mu}<60$ GeV.

Correlation matrix for the systematic uncertainties, excluding integrated luminosity, as a function of $\phi^*$ for $60<m_{\mu\mu}<120$ GeV.

Correlation matrix for the systematic uncertainties, excluding integrated luminosity, as a function of rapidity in the centre-of-mass frame, putting together low and high masses. Each bin is labeled lm_i or hm_i, where lm stands for $15<m_{\mu\mu}<60$ GeV, hm stands for $60<m_{\mu\mu}<120$ GeV, and i is the corresponding bin number in rapidity in the centre-of-mass frame. The global normalisation uncertainty of 3.5% is not included. Data from Figure [3, 4, 4].

Correlation matrix for the systematic uncertainties, excluding integrated luminosity, as a function of $p_{\textrm{T}}$, putting together low and high masses. Each bin is labeled lm_i or hm_i, where lm stands for $15<m_{\mu\mu}<60$ GeV, hm stands for $60<m_{\mu\mu}<120$ GeV, and i is the corresponding bin number in $p_{\textrm{T}}$. The global normalisation uncertainty of 3.5% is not included. Data from Figure [3, 4, 4].

Correlation matrix for the systematic uncertainties, excluding integrated luminosity, as a function of $\phi^*$, putting together low and high masses. Each bin is labeled lm_i or hm_i, where lm stands for $15<m_{\mu\mu}<60$ GeV, hm stands for $60<m_{\mu\mu}<120$ GeV, and i is the corresponding bin number in $\phi^*$. The global normalisation uncertainty of 3.5% is not included. Data from Figure [3, 4, 4].

Excitation function at pion c.m. angle THETA=49 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=57 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=63 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=69 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=75 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at THETA=81 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=87 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=93 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=99 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=104 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=110 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=117 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=123 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=130 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=138 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=148 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=162 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Total cross section as a function of incident photon energy E.

Differential cross section at W= 1.720 GeV

Differential cross section at W= 1.750 GeV

Differential cross section at W= 1.775 GeV

Differential cross section at W= 1.795 GeV

Differential cross section at W= 1.815 GeV

Differential cross section at W= 1.835 GeV

Differential cross section at W= 1.855 GeV

Differential cross section at W= 1.630 GeV

Differential cross section at W= 1.660 GeV

Differential cross section at W= 1.690 GeV

Differential cross section at W= 1.720 GeV

Differential cross section at W= 1.750 GeV

Differential cross section at W= 1.775 GeV

Differential cross section at W= 1.795 GeV

Differential cross section at W= 1.815 GeV

Differential cross section at W= 1.835 GeV

Differential cross section at W= 1.855 GeV

Differential cross section at W= 1.690 GeV

Differential cross section at W= 1.720 GeV

Differential cross section at W= 1.750 GeV

Differential cross section at W= 1.775 GeV

Differential cross section at W= 1.795 GeV

Differential cross section at W= 1.815 GeV

Differential cross section at W= 1.835 GeV

Differential cross section at W= 1.855 GeV

Detector-level photon $\phi$ distribution

Detector-level dipoton invariant mass distribution

Detector-level diphoton rapidity distribution

Detector-level dipoton p$_{T}$ distribution

Observed exclusion limits at 95% CL in the ALP-photon coupling g$_{a \gamma}$ versus ALP mass $m_{a}$ plane.

Run 3. Total cross section as a function of c.m. energy W.

Excitation function at cos(Theta_eta)= -0.958

Excitation function at cos(Theta_eta)= -0.875

Excitation function at cos(Theta_eta)= -0.792

Excitation function at cos(Theta_eta)= -0.708

Excitation function at cos(Theta_eta)= -0.625

Excitation function at cos(Theta_eta)= -0.542

Excitation function at cos(Theta_eta)= -0.458

Excitation function at cos(Theta_eta)= -0.375

Excitation function at cos(Theta_eta)= -0.292

Excitation function at cos(Theta_eta)= -0.208

Excitation function at cos(Theta_eta)= -0.125

Excitation function at cos(Theta_eta)= -0.042

Excitation function at cos(Theta_eta)= 0.042

Excitation function at cos(Theta_eta)= 0.125

Excitation function at cos(Theta_eta)= 0.208

Excitation function at cos(Theta_eta)= 0.292

Excitation function at cos(Theta_eta)= 0.375

Excitation function at cos(Theta_eta)= 0.458

Excitation function at cos(Theta_eta)= 0.542

Excitation function at cos(Theta_eta)= 0.625

Excitation function at cos(Theta_eta)= 0.708

Excitation function at cos(Theta_eta)= 0.792

Excitation function at cos(Theta_eta)= 0.875

Excitation function at cos(Theta_eta)= 0.958

Excitation function at cos(Theta_eta)= -0.958

Excitation function at cos(Theta_eta)= -0.875

Excitation function at cos(Theta_eta)= -0.792

Excitation function at cos(Theta_eta)= -0.708

Excitation function at cos(Theta_eta)= -0.625

Excitation function at cos(Theta_eta)= -0.542

Excitation function at cos(Theta_eta)= -0.458

Excitation function at cos(Theta_eta)= -0.375

Excitation function at cos(Theta_eta)= -0.292

Excitation function at cos(Theta_eta)= -0.208

Excitation function at cos(Theta_eta)= -0.125

Excitation function at cos(Theta_eta)= -0.042

Excitation function at cos(Theta_eta)= 0.042

Excitation function at cos(Theta_eta)= 0.125

Excitation function at cos(Theta_eta)= 0.208

Excitation function at cos(Theta_eta)= 0.292

Excitation function at cos(Theta_eta)= 0.375

Excitation function at cos(Theta_eta)= 0.458

Excitation function at cos(Theta_eta)= 0.542

Excitation function at cos(Theta_eta)= 0.625

Excitation function at cos(Theta_eta)= 0.708

Excitation function at cos(Theta_eta)= 0.792

Excitation function at cos(Theta_eta)= 0.875

Excitation function at cos(Theta_eta)= 0.958

Differential cross section at c.m. energy 1.8876 GeV

Differential cross section at c.m. energy 1.8933 GeV

Differential cross section at c.m. energy 1.8997 GeV

Differential cross section at c.m. energy 1.9061 GeV

Differential cross section at c.m. energy 1.9125 GeV

Differential cross section at c.m. energy 1.9189 GeV

Differential cross section at c.m. energy 1.9252 GeV

Differential cross section at c.m. energy 1.9315 GeV

Differential cross section at c.m. energy 1.9378 GeV

Differential cross section at c.m. energy 1.9441 GeV

Differential cross section at c.m. energy 1.9504 GeV

Differential cross section at c.m. energy 1.9566 GeV

Differential cross section at c.m. energy 1.8978 GeV

Differential cross section at c.m. energy 1.9011 GeV

Differential cross section at c.m. energy 1.9042 GeV

Differential cross section at c.m. energy 1.9075 GeV

Differential cross section at c.m. energy 1.9123 GeV

Differential cross section at c.m. energy 1.9186 GeV

Differential cross section at c.m. energy 1.9250 GeV

Differential cross section at c.m. energy 1.9313 GeV

Differential cross section at c.m. energy 1.9376 GeV

Differential cross section at c.m. energy 1.9439 GeV

Differential cross section at c.m. energy 1.9501 GeV

Differential cross section at c.m. energy 1.9564 GeV