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 $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

Reconstruction level differential cross section spectla, obtained for the central acceptance, $|\eta| < 3$, for events with Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology compared to the to the EPOS-LHC predictions, broken down into the non-diffractive (ND), central diffractive (CD), single diffractive (SD) and double diffractive (DD) components. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV

The number of high purity tracksin the first $\eta$ bin after a gap of $4.5 \leq \Delta\eta^F < 5.0$ for events with the Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV

The transeverse momentum of high purity tracksin the first $\eta$ bin after a gap of $4.5 \leq \Delta\eta^F < 5.0$ for events with the Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV

The total energy of all Particle Flow candidatesin the first $\eta$ bin after a gap of $4.5 \leq \Delta\eta^F < 5.0$ for events with the Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV

Unfolded diffraction enhanced differential cross section for events with Pomeron-Lead ($\mathrm{I\!P}\mathrm{Pb}$) topology, defined on the region $|\eta| < 5.2$, compared to hadron level predictions of the MC generators. The data are corrected for the contribution from events with undetectable energy in the HF calorimeter adjacent to the rapidity gap. The corrections are obtained using the EPOS-LHC MC sample. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Unfolded diffraction enhanced differential cross section for events with Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology, defined on the region $|\eta| < 5.2$, compared to hadron level predictions of the MC generators. The data are corrected for the contribution from events with undetectable energy in the HF calorimeter adjacent to the rapidity gap. The corrections are obtained using the EPOS-LHC MC sample. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Unfolded diffractive enhanced differential cross section spectla for events with Pomeron-Lead ($\mathrm{I\!P}\mathrm{Pb}$) topology, compared to the to the hadron-level EPOS-LHC predictions, broken down into the non-diffractive (ND), central diffractive (CD), single diffractive (SD) and double diffractive (DD) components. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Unfolded diffractive enhanced differential cross section spectla for events with Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology, compared to the to the hadron-level EPOS-LHC predictions, broken down into the non-diffractive (ND), central diffractive (CD), single diffractive (SD) and double diffractive (DD) components. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Unfolded diffractive enhanced differential cross section spectla for events with Pomeron-Lead ($\mathrm{I\!P}\mathrm{Pb}$) topology, compared to the to the hadron-level QGSJET II predictions, broken down into the non-diffractive (ND), central diffractive (CD), single diffractive (SD) and double diffractive (DD) components. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Unfolded diffractive enhanced differential cross section spectla for events with Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology, compared to the to the hadron-level QGSJET II predictions, broken down into the non-diffractive (ND), central diffractive (CD), single diffractive (SD) and double diffractive (DD) components. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Reconstruction level diffraction enhanced differential cross section spectrum for Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology corrected for the contribution from events with undetectable energy in the HF calorimeter adjacent to the rapidity gap, compared with the spectrum obtained with events satisfying the ZDC veto requirement $E_{ZDC−} < 1 \mathrm{~TeV}$ which selects only the events without lead nuclear break up (without correction for HF undetectable energy). Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Limits on anomalous magnetic moment of the tau lepton

Differential cross section times dimuon branching fraction of Y(1S) as a function of $y^{Y}_{CM}$ in pPb collisions. The global uncertainty arises from the integrated luminosity uncertainty in pPb collisions.

Differential cross section times dimuon branching fraction of Y(2S) as a function of $y^{Y}_{CM}$ in pPb collisions. The global uncertainty arises from the integrated luminosity uncertainty in pPb collisions.

Differential cross section times dimuon branching fraction of Y(3S) as a function of $y^{Y}_{CM}$ in pPb collisions. The global uncertainty arises from the integrated luminosity uncertainty in pPb collisions.

Differential cross section times dimuon branching fraction of Y(1S) as a function of pT in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Differential cross section times dimuon branching fraction of Y(2S) as a function of pT in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Differential cross section times dimuon branching fraction of Y(3S) as a function of pT in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Differential cross section times dimuon branching fraction of Y(1S) as a function of $|y^{Y}_{CM}|$ in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Differential cross section times dimuon branching fraction of Y(2S) as a function of $|y^{Y}_{CM}|$ in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Differential cross section times dimuon branching fraction of Y(3S) as a function of $|y^{Y}_{CM}|$ in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Nuclear modification factor of Y(1S) as a function of pT. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(2S) as a function of pT. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(3S) as a function of pT. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(1S) as a function of $y^{Y}_{CM}$. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(2S) as a function of $y^{Y}_{CM}$. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(3S) as a function of $y^{Y}_{CM}$. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(1S) at forward and backward $y^{Y}_{CM}$ for pT < 6 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(2S) at forward and backward $y^{Y}_{CM}$ for pT < 6 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(3S) at forward and backward $y^{Y}_{CM}$ for pT < 6 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(1S) at forward and backward $y^{Y}_{CM}$ for 6 < pT < 30 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(2S) at forward and backward $y^{Y}_{CM}$ for 6 < pT < 30 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(3S) at forward and backward $y^{Y}_{CM}$ for 6 < pT < 30 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

RFB of Y(1S) versus $N^{|\eta_{lab}|<2.4}_{tracks}$.

RFB of Y(2S) versus $N^{|\eta_{lab}|<2.4}_{tracks}$.

RFB of Y(3S) versus $N^{|\eta_{lab}|<2.4}_{tracks}$.

RFB of Y(1S) versus $E^{|\eta_{lab}|>4}_{T}$.

RFB of Y(2S) versus $E^{|\eta_{lab}|>4}_{T}$.

RFB of Y(3S) versus $E^{|\eta_{lab}|>4}_{T}$.

Nuclear modification factor of Y(1S), Y(2S), and Y(3S) integrated over pT and $y^{Y}_{CM}$. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modicifation factor vs. N_coll $J\psi$ with|y|<1 and pT < 3 GeV/c in d Au collisions.

The invariant cross section versus transverse momentum for J/$\psi$ with $|y|\lt 1$ in $p+p$ collisions.

The invariant yield versus transverse momentum for $J/\Psi$ with |y| < 1 in 0 - 100 percent central d+Au collisions.

The effective exponential slope, $b_n$, obtained from the fit of double differential photoproduction cross sections ${\rm d^2}\sigma_{\gamma p}/{\rm d}x_L{\rm d}p_{T,n}^2$ to a single exponential function in bins of $x_L$. The first uncertainty represents the fit error from the statistical and uncorrelated systematic uncertainty and the second one is due to the correlated systematic uncertainty.

Energy dependence of the exclusive photoproduction of a $\rho^0$ meson associated with a leading neutron, $\gamma p \to \rho^0 n \pi^+$. The first uncertainty is statistical and the second is systematic. The global normalisation uncertainty of $4.4\%$ is not included. $\Phi_{\gamma}$ is the integral of the photon flux, Eq. (3) of paper, in a given $W_{\gamma p}$ bin.

Differential photoproduction cross section ${\rm d}\sigma_{\gamma p}/{\rm d}\eta$ for the exclusive process $\gamma p \to \rho^0 n \pi^+$ as a function of the $\rho^0$ pseudorapidity in the kinematic range $0.35 < x_L < 0.95$, $\theta_n < 0.75$ mrad and $20 < W_{\gamma p} < 100$ GeV. The statistical, uncorrelated and correlated systematic uncertainties, $\delta_{stat}$, $\delta_{sys}^{unc}$ and $\delta_{sys}^{cor}$ respectively, are given, which does not include the global normalisation error of $4.4\%$.

Differential photoproduction cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ for the exclusive process $\gamma p \to \rho^0 n \pi^+$ as a function of the $\rho^0$ four-momentum transfer squared, $t^{\prime}$, in the kinematic range $0.35 < x_L < 0.95$, $\theta_n < 0.75$ mrad and $20 < W_{\gamma p} < 100$ GeV. The statistical, uncorrelated and correlated systematic uncertainties, $\delta_{stat}$, $\delta_{sys}^{unc}$ and $\delta_{sys}^{cor}$ respectively, are given, which does not include the global normalisation error of $4.4\%$.

Exponential slopes, $b_1$ and $b_2$, and the ratio $\sigma_1/\sigma_2$, obtained from the components of fit, Eq. (14) of paper, to the differential cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ in bins of $x_L$. The errors represent the statistical and systematic uncertainties added in quadrature.

Exponential slopes, $b_1$ and $b_2$, and the ratio $\sigma_1/\sigma_2$, obtained from the components of fit, Eq. (14) of paper, to the differential cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ in bins of $p_{T,n}^2$. The errors represent the statistical and systematic uncertainties added in quadrature.

Energy dependence of elastic $\rho^0$ photoproduction on the pion, $\gamma \pi^+ \to \rho^0 \pi^+$, extracted in the one-pion-exchange approximation using OPE1 sample. The first uncertainty represents the full experimental error and the second is the model error coming from the pion flux uncertainty (see text). $\Gamma_\pi(x_L)$ represents the value of the pion flux, Eqs. (5-6) of paper, integrated over the $p_{T,n}<0.2$ GeV range, at a given $x_L$.

Cross section of elastic $\rho^0$ photoproduction on the pion, $\gamma \pi^+ \to \rho^0 \pi^+$, extracted in the one-pion-exchange approximation using three different samples: full sample, OPE1 and OPE2. The first uncertainty represents the full experimental error and the second is the model error coming from the pion flux uncertainty (see text). $\Gamma_\pi$ represents the value of the pion flux, Eqs. (5-6) of paper, integrated over the corresponding $(x_L,p_{T,n})$ range.

HERA combined reduced cross sections $\sigma_{r,\rm NC}^{+}$ for NC $e^{+}p$ scattering at $\sqrt{s} = 225$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm NC}^{+}$.

HERA combined reduced cross sections $\sigma_{r,\rm NC}^{-}$ for NC $e^{-}p$ scattering at $\sqrt{s} = 318$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm NC}^{-}$.

HERA combined reduced cross sections $\sigma_{r,\rm CC}^{+}$ for CC $e^{+}p$ scattering at $\sqrt{s} = 318$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm CC}^{+}$.

HERA combined reduced cross sections $\sigma_{r,\rm CC}^{-}$ for CC $e^{-}p$ scattering at $\sqrt{s} = 318$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm CC}^{-}$.

Structure function $xF_3^{\gamma Z}$ for different values of $Q^2$ and $x_{\rm Bj}$.

Structure function $xF_3^{\gamma Z}$ averaged over $Q^2 \ge 1000$ GeV$^2$ at the scale 1000 GeV$^2$.

The $V_2${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $V_2${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $V_2${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $V_2${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $V_3${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $V_3${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $V_3${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $V_3${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $V_2^{1/2}$ difference between quadruplets at ($\eta_{\alpha}$, $\eta_{\alpha}$, $\eta_{\beta}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, $\eta_{\alpha}$, -$\eta_{\beta}$, -$\eta_{\beta}$).

The two-particle cumulants, V2{2} as a function of $\eta$ for one particle while averaged over $\eta$ of the partner particle.

The two-particle cumulants, V2{2} as a function of $\eta$.

The two-particle cumulants, V2{2} as a function of $\eta$ for one particle while averaged over $\eta$ of the partner particle.

The difference in two-particle cumulants, V2{2} as a function of $\eta$ for one particle while averaged over $\eta$ of the partner particle.

No description provided.

V3{2} as a function of $\eta$.

<$V_3^2$> as a function of $\eta$.

The $\Delta\eta$-dependent component of the two-particle cumulant with $\Delta\eta$-gap, $D^-$ in Eq. (11), of the second harmonic is shown as a function of ??-gap |$\Delta\eta$| > x.

The $\Delta\eta$-dependent component of the two-particle cumulant with $\Delta\eta$-gap, $D^-$ in Eq. (11), of the third harmonic is shown as a function of ??-gap |$\Delta\eta$| > x.

The nonflow, $\sqrt{\bar{D}_2}$, $\sqrt{\delta_2}$, $\sqrt{\bar{D}_3}$ and flow, $\sqrt{v_2^2/2}$, $\sqrt{<v_2^2>}$ results are shown as a function of centrality percentile for the second harmonic.

The nonflow, $\sqrt{\bar{D}_2}$, $\sqrt{\delta_2}$, $\sqrt{\bar{D}_3}$ and flow, $\sqrt{v_2^2/2}$, $\sqrt{<v_2^2>}$ results are shown as a function of centrality percentile for the second harmonic.

The nonflow, $\sqrt{\bar{D}_2}$, $\sqrt{\delta_2}$, $sqrt{\bar{D}_3}$ and flow, $\sqrt{v_2^2/2}$, $\sqrt{<v_2^2>}$ results are shown as a function of centrality percentile for the second harmonic.

The nonflow, $\sqrt{\bar{D}_2}$, $\sqrt{\delta_2}$, $sqrt{\bar{D}_3}$ and flow, $\sqrt{v_2^2/2}$, $\sqrt{<v_2^2>}$ results are shown as a function of centrality percentile for the third harmonic.

The nonflow, $\sqrt{\bar{D}_2}$, $sqrt{\delta_2}$, $\sqrt{\bar{D}_3}$ and flow, $\sqrt{v_2^2/2}$, $\sqrt{<v_2^2>}$ results are shown as a function of centrality percentile for the third harmonic.

The relative elliptic flow fluctuation $\sigma_2/<v_2>$ centrality dependence in $\sqrt{s_{NN}}$ = 200 GeV Au+Au collisions.

Spin alignment RHO(00) extracted from the helicity angle distributions for PHI and OMEGA production in the given XF regions for different M(PV) regions. The uncertainty is the propagated uncertainty from the linear fits, which in turn includes the quadratic sum of statistical uncertainties and uncertainties from the background subtraction.

Spin alignment RHO(00) extracted using DELTA(P), the direction of the momentum transfer from the beam proton in the initial state to the fast proton in the final state, as the reference axis. The table includes PHI and OMEGA production. The results for different P(V) cuts are also given for OMEGA production. The uncertainty is the propagated uncertainty from the linear fits, which in turn includes the quadratic sum of statistical uncertainties and uncertainties from the background subtraction.