Full experimental (statistical and systematic) correlations (in \%) of the normalized partial decay rates over the $\overline{B}^0\to D^{*+} e^- \bar\nu_e$ and $\overline{B}^0\to D^{*+} \mu^- \bar\nu_\mu$ decays.

Measured partial decay rates $\Delta\Gamma$ (in units of $10^{-15}$ GeV) using the matrix inversion unfolding method

Average of normalized decay rates that are determined using the matrix inversion unfolding method

Full experimental (statistical and systematic) correlations (in \%) of the partial decay rates determined with the matrix inversion unfolding method for the $\overline{B}^0\to D^{*+} e^- \bar\nu_e$ and $\overline{B}^0\to D^{*+} \mu^- \bar\nu_\mu$ decays.

Full experimental (statistical and systematic) correlations (in \%) of the normalized partial decay rates determined using the matrix inversion unfolding method

'$\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'$\Lambda$ $D_{LL}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\Lambda$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'$\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\Lambda$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\Lambda+\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\Lambda$ $D_{LL}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'Two-year-combined $\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\Lambda$ $D_{LL}$ as a function of z at $0 < \eta_{jet} < 1.0$'

'$\overline{\Lambda}$ $D_{LL}$ as a function of z at $0 < \eta_{jet} < 1.0$'

'$\Lambda$ $D_{LL}$ as a function of z at $-1.0 < \eta_{jet} < 0$'

'$\overline{\Lambda}$ $D_{LL}$ as a function of z at $-1.0 < \eta_{jet} < 0$'

'particle jet pt as a function of $\Lambda$ z'

'particle jet pt as a function of $\overline{\Lambda}$ z'

'$\Lambda$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'$\overline{\Lambda}$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'$\Lambda$ $D_{TT}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\overline{\Lambda}$ $D_{TT}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\Lambda$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'$\overline{\Lambda}$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\Lambda$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\overline{\Lambda}$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\Lambda$ $D_{TT}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'Two-year-combined $\overline{\Lambda}$ $D_{TT}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\Lambda$ $D_{TT}$ as a function of z at $0 < \eta_{jet} < 1.0$'

'$\overline{\Lambda}$ $D_{TT}$ as a function of z at $0 < \eta_{jet} < 1.0$'

'$\Lambda$ $D_{TT}$ as a function of z at $-1.0 < \eta_{jet} < 0$'

'$\overline{\Lambda}$ $D_{TT}$ as a function of z at $-1.0 < \eta_{jet} < 0$'

'particle jet pt as a function of $\Lambda$ z'

'particle jet pt as a function of $\overline{\Lambda}$ z'

Expected and observed candidates for $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) as a function of the reduced mediator candidate mass.

Expected and observed candidates for $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) as a function of the reduced mediator candidate mass.

Expected and observed candidates for $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) as a function of the reduced mediator candidate mass.

Expected and observed candidates for $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) as a function of the reduced mediator candidate mass.

Expected and observed candidates for $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) as a function of the reduced mediator candidate mass.

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.001cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.003cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.005cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.007cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.01cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.025cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.05cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.1cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.25cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.5cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$1.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$2.5cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$5.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$10.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$25.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$50.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$100.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$200.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$400.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.001cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.003cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.005cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.007cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.01cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.025cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.05cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.1cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.25cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.5cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$1.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$2.5cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$5.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$10.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$25.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$50.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$100.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$200.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$400.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.001cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.003cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.005cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.007cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.01cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.025cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.05cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.1cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.25cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.5cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$1.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$2.5cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$5.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$10.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$25.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$50.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$100.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$200.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$400.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.001cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.003cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.005cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.007cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.01cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.025cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.05cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.1cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.25cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.5cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$1.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$2.5cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$5.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$10.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$25.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$50.0cm

Expected and observed limits on $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$100.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.001cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.003cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.005cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.007cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.01cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.025cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.05cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.1cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.25cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$0.5cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$1.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$2.5cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$5.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$10.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$25.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$50.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$100.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$200.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$) for a lifetime of $c\tau=$400.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.001cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.003cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.005cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.007cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.01cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.025cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.05cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.1cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.25cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$0.5cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$1.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$2.5cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$5.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$10.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$25.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$50.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$100.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$200.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$) for a lifetime of $c\tau=$400.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.001cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.003cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.005cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.007cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.01cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.025cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.05cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.1cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.25cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$0.5cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$1.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$2.5cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$5.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$10.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$25.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$50.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$100.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$200.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$) for a lifetime of $c\tau=$400.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.001cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.003cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.005cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.007cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.01cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.025cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.05cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.1cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.25cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$0.5cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$1.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$2.5cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$5.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$10.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$25.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$50.0cm

Expected and observed limits on $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$) for a lifetime of $c\tau=$100.0cm

Efficiencies for $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to e^+e^-$)

Efficiencies for $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$)

Efficiencies for $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$)

Efficiencies for $\mathcal{B}($$B^+\to K^+S$$) \times$ $\mathcal{B}($$S\to K^+K^-$)

Efficiencies for $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to e^+e^-$)

Efficiencies for $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \mu^+\mu^-$)

Efficiencies for $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to \pi^+\pi^-$)

Efficiencies for $\mathcal{B}($$B^0\to K^{*0}(\to K^+\pi^-)S$$) \times$ $\mathcal{B}($$S\to K^+K^-$)

$P_{\rm H}$ measurements are shown as a function of hyperon $p_{\rm T}$ at $\sqrt{s_{\rm NN}}$=19.6 and 27 GeV. Statistical uncertainties are represented as lines while systematic uncertainties are represented as boxes. There is no observed dependence of $P_{\rm H}$ on $p_{\rm T}$ at $\sqrt{s_{\rm NN}}$=19.6 or 27 GeV, consistent with previous observations.

$P_{\rm H}$ measurements are shown as a function of hyperon $y$ at $\sqrt{s_{\rm NN}}$=19.6 and 27 GeV. Statistical uncertainties are represented as lines while systematic uncertainties are represented as boxes. The data set at $\sqrt{s_{\rm NN}}$=19.6 GeV takes advantage of STAR upgrades to reach larger $|y|$.

HFE (electrons from semileptonic decays of heavy-flavor hadrons) invariant yields in different centrality intervals of Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV. The vertical bars and the boxes represent statistical and systematic uncertainties, respectively. The horizontal bars indicate the bin width.

HFE (electrons from semileptonic decays of heavy-flavor hadrons) $R_{\rm AA}$ (red circles) as a function of $p_{\rm T}$ in different centrality intervals of Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV, compared with STAR (yellow stars) and PHENIX (green squares) published results, and Duke ((modified Langevin transport model, blue line) and PHSD (parton-hadron-string dynamics model, orange line) model calculations. Vertical bars and boxes around data points represent combined statistical and systematic uncertainties from both Au+Au and $p$+$p$ measurements, respectively. Boxes at unity show the global uncertainties, which for this analysis include the 8% global uncertainty on $p$+$p$ reference and the $N_{\rm coll}$ uncertainties. The left box is for PHENIX and the right one for STAR.

HFE (electrons from semileptonic decays of heavy-flavor hadrons) $R_{\rm AA}$ (red circles) as a function of $N_{\rm part}$ in Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV, compared with PHENIX measurements (green squares), and Duke (blue line) and PHSD (orange line) model calculations. Vertical bars and boxes around data points represent statistical and systematic uncertainties from Au+Au measurements, respectively. The gray band represents the $N_{\rm coll}$ uncertainties. The boxes at unity show the global uncertainties including the total uncertainties of the $p$+$p$ reference.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 11.5 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 14.5 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

The scaling index, $\beta_{q}$ ($q=$ 3-6), as a function of $q-1$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7-200 GeV.

The scaling exponent ($\nu$), as a function of average number of participant nucleons ($\langle N_{part}\rangle$), in Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6-200 GeV. The data with the largest number of $\langle N_{part}\rangle$ correspond to the most central collisions (0-5\%), and the rest of the points are for 5-10\%, 10-20\%, 20-30\% and 30-40\% centrality, respectively. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 are: 338,289,225,158,108. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV are: 343,299,234,166,114. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV are: 342,294,230,162,111. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV are: 346,292,228,161,111. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV are 347,294,230,164,114. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV are:351,299,234,168,117.

Collision energy dependence of the scaling exponent in the 0-10% and 10-40% centrality collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7-200 GeV

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 11.5 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 14.5 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 11.5 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 14.5 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV

Efficiency corrected and uncorrected $\Delta F_{2}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{3}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{4}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{5}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{6}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 5-10\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 10-20\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 20-30\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 30-40\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 0-5% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 5-10% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 10-20% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 20-30% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 30-40% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

Bayesian upper exclusion limits on the ratio $g_{W'}/g_{W}$ for an SSM-like W$\prime$ boson are shown. The unity coupling ratio (blue dotted curve) corresponds to the SSM common benchmark. The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Bayesian lower exclusion limits on the NUGIM G(221) mixing angle $\cot(\theta_{E})$ are shown as a function of the W$\prime$ boson mass. The theoretically excluded region is shaded in grey. The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Bayesian upper exclusion limits at 95% CL on the product of the production cross section and branching fraction of a QBH in an associated $ au$ lepton and neutrino final state. Minimum threshold masses $m_{th}$ of up to 6.6 TeV are excluded at 95% CL. The observed limit (solid line) is obtained from the intersection with the LO QBH cross section (blue dotted curve). The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Bayesian upper limits at 95% CL on the cross section of the process $pp\rightarrow\tau\nu$ mediated via LQ exchange in the t-channel. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The predicted LQ cross section at LO in the three coupling benchmark scenarios is depicted in different colors for $g_{U}=1$. The uncertainty bandy correspond to the sum in quadrature of PDF and scale variations. The first benchmark scenario considers only couplings to left-handed SM fermions (i.e. $\beta_{\text{R}}^{ij}=0$) and is referred to as "best fit LH". The second benchmark, referred to as "best fit LH+RH", considers $|\beta_{\text{R}}^{\text{b}\tau}|=1$ and all other $\beta_{\text{R}}^{ij}=0$. In the third "democratic" benchmark, equal couplings only to LH fermions are assumed, i.e. $\beta_{\text{L}}^{ij}=1$ and $\beta_{\text{R}}^{ij}=0$ for all $i$ and $j$.

Expected and observed lower limits of the LQ mass as a function of the coupling $g_{U}$ in the LH scenario. The blue band shows the 68% and 95% regions of $g_{U}$ preferred by the fit to the b anomalies data.

Expected and observed lower limits of the LQ mass as a function of the coupling $g_{U}$ in the LH+RH scenario. The blue band shows the 68% and 95% regions of $g_{U}$ preferred by the fit to the b anomalies data.

Expected and observed lower limits of the LQ mass as a function of the coupling $g_{U}$ in the democratic scenario. The blue band shows the 68% and 95% regions of $g_{U}$ preferred by the fit to the b anomalies data.

Bayesian upper exclusion limits at 95% CL on each of the Wilson coefficients described by the EFT model based on 2016-2018 data. The three different coupling types represent a left-handed vector coupling ($\epsilon^{cb}_{L}$), tensor-like coupling ($\epsilon^{cb}_{T}$), and scalar-tensor-like coupling ($\epsilon^{cb}_{S_{L}}$). The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Summary of exclusion limits (expected and observed) calculated at 95% CL for full Run-2 CMS data.

Background prediction and observed data yields in the signal region bins. The background yields are obtained from the background-only fit and serve as input to the simplified likelihood reinterpretation scheme. The naming of the bins is "year_binnumber", following the binning from Figure 4.

Matrix of covariance coefficients between signal region bins. The coefficients are obtained from the background-only fit and serve as input to the simplified likelihood reinterpretation scheme. The naming of the bins is "year_binnumber", following the binning used in Figure 4.

Predicted signal yields for the 2017 data-taking period, corresponding to 41.3 fb$^{-1}$, after the application of each search requirement (cumulative) for various signal hypothesis. The requirements listed are presented as total efficiencies w.r.t. the previous selection step.

Best fit of the cross section.

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$62.4 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$200 GeV

Reference multiplicity distributions obtained from Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV data (black markers), Glauber model (red histogram), and unfolding approach to separate single and pileup contributions. Vertical lines represent statistical uncertainties. Single, pileup, and single+pileup collisions are shown in solid blue markers, dashed green, and dashed pink lines, respectively. The 0–5% central events and 5–60% mid-central to peripheral events are indicated by black arrows. The ratio of the single+pileup to the measured multiplicity distribution is shown in the lower panel.

Reference multiplicity distributions obtained from Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV data (black markers), Glauber model (red histogram), and unfolding approach to separate single and pileup contributions. Vertical lines represent statistical uncertainties. Single, pileup, and single+pileup collisions are shown in solid blue markers, dashed green, and dashed pink lines, respectively. The 0–5% central events and 5–60% mid-central to peripheral events are indicated by black arrows. The ratio of the single+pileup to the measured multiplicity distribution is shown in the lower panel.

Proton cumulants as a function of reference multiplicity (black circles) from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Centrality-binned results with and without centrality bin width corrections are represented by red circles and blue squares, respectively. Vertical dashed lines indicate the centrality classes, from right to left: 0–5%, 5–10%, 10–20%. Data points in this figure are only corrected for detector efficiency but not for the pileup effect, which will be discussed in a later section.

Proton cumulants as a function of reference multiplicity (black circles) from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Centrality-binned results with and without centrality bin width corrections are represented by red circles and blue squares, respectively. Vertical dashed lines indicate the centrality classes, from right to left: 0–5%, 5–10%, 10–20%. Data points in this figure are only corrected for detector efficiency but not for the pileup effect, which will be discussed in a later section.

Proton cumulants as a function of reference multiplicity (black circles) from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Centrality-binned results with and without centrality bin width corrections are represented by red circles and blue squares, respectively. Vertical dashed lines indicate the centrality classes, from right to left: 0–5%, 5–10%, 10–20%. Data points in this figure are only corrected for detector efficiency but not for the pileup effect, which will be discussed in a later section.

Proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants as a function of reference multiplicity are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

Proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants as a function of reference multiplicity are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

Ratios of proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

Ratios of proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

UrQMD results of the proton cumulant ratios up to sixth order in Au+Au collisions at $\sqrt{s_{\rm NN}}$= 3 GeV. The black circles are without VF correction while blue squares and red triangles are results with VFC which used $N_{\rm part}$ distributions from UrQMD and Glauber models, respectively. The blue crosses are calculations using UrQMD events with b $\leq$ 3 fm. The above results are applied CBWC except for the one (blue crosses) using b $\leq$3 fm events.

UrQMD results of the proton cumulant ratios up to sixth order in Au+Au collisions at $\sqrt{s_{\rm NN}}$= 3 GeV. The black circles are without VF correction while blue squares and red triangles are results with VFC which used $N_{\rm part}$ distributions from UrQMD and Glauber models, respectively. The blue crosses are calculations using UrQMD events with b $\leq$ 3 fm. The above results are applied CBWC except for the one (blue crosses) using b $\leq$3 fm events.

Proton cumulants up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction is shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

Proton cumulants up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction is shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

Proton cumulant ratios up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction are shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

Proton cumulant ratios up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction are shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

UrQMD results of proton cumulant ratios up to sixth order in Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. The vertical dashed lines indicate the centrality classes.

Experimental results on centrality dependence of cumulants (left panels) and cumulant ratios (right panels) up to sixth order of the proton multiplicity distributions in Au+Au collisions at $N_{\rm part}$ = 3 GeV. The open squares are data without VF correction while red circles and blue triangles are results with VF correction with $N_{\rm part}$ distributions from Glauber and UrQMD models, respectively.

Experimental results on centrality dependence of cumulants (left panels) and cumulant ratios (right panels) up to sixth order of the proton multiplicity distributions in Au+Au collisions at $N_{\rm part}$ = 3 GeV. The open squares are data without VF correction while red circles and blue triangles are results with VF correction with $N_{\rm part}$ distributions from Glauber and UrQMD models, respectively.

Same as Fig. 14 but for correlation function (left panels) and their normalized ratios (right panels).

Same as Fig. 14 but for correlation function (left panels) and their normalized ratios (right panels).

Cumulants and cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. The transverse momentum window is $p_{\rm T}$ from $0.4<p_{\rm T}<2.0$ GeV/$c$ and the rapidity window is $−0.5<y<0$. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD predictions are depicted by gold bands.

Cumulants and cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. The transverse momentum window is $p_{\rm T}$ from $0.4<p_{\rm T}<2.0$ GeV/$c$ and the rapidity window is $−0.5<y<0$. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD predictions are depicted by gold bands.

Same as Fig. 16 but for correlation functions and correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

Same as Fig. 16 but for correlation functions and correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

This dataset corresponds to Figure 2, the v2 ratio value estimated between epd (\Psi_1) and tpc (\Psi_2) in the paper

This dataset corresponds to Figure 2, the v2 ratio value estimated between epd (\Psi_1) and epd (\Psi_2) in the paper

This dataset corresponds to Figure 3, the \Delta\gamma_{112}multiply N_{part} value estimated by tpc (\Psi_2) in the paper

This dataset corresponds to Figure 3, the \Delta\gamma_{112}multiply N_{part} value estimated by epd (\Psi_2) in the paper

This dataset corresponds to Figure 3, the \Delta\gamma_{1111}multiply N_{part} value estimated by epd (\Psi_1) in the paper

This dataset corresponds to Figure 3, the ratio between \Delta\gamma_{1111} (by epd \Psi_1) and \Delta\gamma(112) (by tpc \Psi_2) in the paper

This dataset corresponds to Figure 3, the ratio between \Delta\gamma_{1111} (by epd \Psi_1) and \Delta\gamma(112) (by epd \Psi_2) in the paper

This dataset corresponds to Figure 4, the \Delta\gamma_{112}multiply N_{part} and scaled by v_2 estimated by tpc (\Psi_2) in the paper

This dataset corresponds to Figure 4, the \Delta\gamma_{112}multiply N_{part} and scaled by v_2 estimated by epd (\Psi_2) in the paper

This dataset corresponds to Figure 4, the \Delta\gamma_{1111}multiply N_{part} and scaled by v_2 estimated by epd (\Psi_1) in the paper

This dataset corresponds to Figure 4, the ratio between \Delta\gamma_{1111} scaled by v_{211} (by epd \Psi_1) and \Delta\gamma(112) scaled by v_2 (by tpc \Psi_2) in the paper

This dataset corresponds to Figure 4, the ratio between \Delta\gamma_{1111} scaled by v_{211} (by epd \Psi_1) and \Delta\gamma(112) scaled by v_2 (by epd \Psi_2) in the paper

Net-proton cumulant ratios C4/C2, C5/C1, C6/C2 (0-40$\%$ and 50-60$\%$ centrality) and C3/C1 (0-40$\%$ centrality) in Au+Au collisions from $\sqrt{s_{NN}}$ = 3 - 200 GeV. At $\sqrt{s_{NN}}$ = 3 GeV, measurement is done for protons instead of net-protons, and with halfrapdity coverage (-0.5 $<$ y $<$ 0) while for rest of energies the rapidity coverage is (-0.5 $<$ y $<$ -0.5).

Net-proton cumulant ratios C4/C2, C5/C1, C6/C2 (0-40$\%$ and 50-60$\%$ centrality) and C3/C1 (0-40$\%$ centrality) from UrQMD model in Au+Au collisions from $\sqrt{s_{NN}}$ = 3 -200 GeV. At $\sqrt{s_{NN}}$ = 3 GeV, UrQMD calculation is done for protons instead of net-protons, and with halfrapdity coverage (-0.5 $<$ y $<$ 0) while for rest of energies the rapidity coverage is (-0.5 $<$ y $<$ -0.5).

Fifth-to-first (KS5/KS1) and sixth-to-second (KS6/KS2) order K-statistic ratios of net-proton distributions in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV for 0-40$\%$ and 50-60$\%$ centrality.

Net-proton cumulant ratio C6/C2 and corresponding K-statistic ratio (0-40$\%$) in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of sample size. Uncertainties are only statistical.

Cumulant ratios C4/C2, C5/C1, C6/C2 and C3/C1 of net-proton distributions measured with half rapdity coverage (-0.5 $<$ y $<$ 0) in 0-40$\%$ central Au+Au collisions for collider energies from $\sqrt{s_{NN}}$ = 7.7 - 54.4 GeV.

Cumulant ratios C5/C1 of net-proton distributions measured in 40-50$\%$, 60-70$\%$, and 70-80$\%$ Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. This is supplemental data and was not part of the original paper.

Inclusive Y(2S) $R_{AA}$ as a function of centrality in Au+Au collisions at 200 GeV. The bin corresponding to $N_{part}$ = 162 is for 0-60% centrality. Global uncertainty of 20.5% not shown.

Upper limit of inclusive Y(3S) $R_{AA}$ with 95% confidence level in 0-60% Au+Au collisions at 200 GeV

Upper limit of inclusive Y(3S) $R_{AA}$ with 95% confidence level in 0-60% Au+Au collisions at 200 GeV

Inclusive Y(1S) $R_{AA}$ as a function of $p_{T}$ in Au+Au collisions at 200 GeV. Global uncertainty of 6.8% not shown.

Inclusive Y(1S) $R_{AA}$ as a function of $p_{T}$ in 0-60% Au+Au collisions at 200 GeV. Global uncertainty of 6.8% not shown.

Inclusive Y(2S) R_{AA} as a function of p_{T} in Au+Au collisions at 200 GeV. Global uncertainty of 6.8% not shown.

Inclusive Y(2S) $R_{AA}$ as a function of $p_{T}$ in 0-60% Au+Au collisions at 200 GeV. Global uncertainty of 6.8% not shown.

Inclusive Y(1S) yield as a function of centrality in Au+Au collisions at 200 GeV. The bin corresponding to $N_{part}$ = 162 is for 0-60% centrality.

Inclusive Y(2S) yield as a function of centrality in Au+Au collisions at 200 GeV. The bin corresponding to $N_{part}$ = 162 is for 0-60% centrality.

Upper limit of inclusive Y(3S) yield with 95% confidence level in 0-60% Au+Au collisions at 200 GeV

Inclusive Y(1S) yield as a function of $p_{T}$ in 0-60% Au+Au collisions at 200 GeV.

Inclusive Y(2S) yield as a function of p_{T} in 0-60% Au+Au collisions at 200 GeV.

Y(2S)/Y(1S) ratio as a function of centrality in Au+Au collisions at 200 GeV. The bin corresponding to $N_{part}$ = 162 is for 0-60% centrality.

Upper limit of Y(3S)/Y(1S) ratio with 95% confidence level in 0-60% Au+Au collisions at 200 GeV

Y(2S)/Y(1S) ratio as a function of $p_{T}$ in 0-60% Au+Au collisions at 200 GeV.

Inclusive jet asymmetries, $A_{UT}^{\sin(\phi_{S})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$).

Inclusive jet asymmetries, $A_{UT}^{\sin(\phi_{S})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S})}$ (vertical) and jet-$p_{T}$ (horizontal). the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Inclusive jet asymmetries, $A_{UT}^{\sin(\phi_{S})}$, as a function of particle jet-$p_{T}$ for jets that contain a charged pion with $z > 0.3$. The blue circles are for jets containing a high-$z$ $\pi^{+}$, while red squares are for jets containing a high-$z$ $\pi^{-}$.

Inclusive jet asymmetries, $A_{UT}^{\sin(\phi_{S})}$, as a function of particle jet-$p_{T}$ for jets that contain a charged pion with $z > 0.3$. The blue circles are for jets containing a high-$z$ $\pi^{+}$, while red squares are for jets containing a high-$z$ $\pi^{-}$.

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The bottom panel shows jets that scatter backward with respect to the polarized beam ($x_{F} < 0$).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The bottom panel shows jets that scatter backward with respect to the polarized beam ($x_{F} < 0$).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet $x_{T}~(= 2 p_T/\sqrt{s}$). The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet $x_{T}~(= 2 p_T/\sqrt{s}$). The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet $x_{T}~(= 2 p_T/\sqrt{s}$). The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet $x_{T}~(= 2 p_T/\sqrt{s}$). The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

$v_{2}(p_{T})$ for $K_{S}^{0}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:40-80%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:40-80%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:40-80%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\phi$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\phi$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\phi$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\Xi^{-}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\Xi^{-}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\Xi^{-}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\Omega^{-}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\Omega^{-}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\Omega^{-}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-80%)

$v_{2}$ of $\phi$ to $\bar{p}$ ratio

Difference of $v_{2}$ between particle and anti-particle

Difference of $v_{3}$ between particle and anti-particle

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 55-64%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 46-55%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 38-46%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 28-38%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 18-28%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 9-18%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 5-9%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 0-5%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 84-93%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 74-84%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 64-74%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 55-64%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 46-55%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 38-46%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 28-38%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 18-28%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 9-18%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 5-9%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 0-5%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 84-93%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 74-84%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 64-74%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 55-64%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 46-55%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 38-46%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 28-38%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 18-28%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 9-18%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 5-9%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 0-5%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 84-93%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 74-84%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 64-74%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 55-64%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 46-55%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 38-46%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 28-38%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 18-28%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 9-18%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 5-9%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 0-5%.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Fit results for the amplitudes of the measured and predicted correlation peak near (yT 1, yT 2) ≈ (3,3) as a function of centrality

Fit results for the yTSigma_0 of the measured and predicted correlation peak near (yT 1, yT 2) ≈ (3,3) as a function of centrality

Fit results for the amplitudes of the measured and predicted correlation peak near (yT 1, yT 2) ≈ (3,1) as a function of centrality

Fit results for the yT_1 of the measured and predicted correlation peak near (yT 1, yT 2) ≈ (3,1) as a function of centrality

Fit results for the yT_2 of the measured and predicted correlation peak near (yT 1, yT 2) ≈ (3,1) as a function of centrality

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Efficiency corrected $\phi$-meson yields as a function of cos$\theta$* and corresponding fits with Eq.1 in the method section.

Efficiency and acceptance corrected $K^{*0}$-meson yields as a function of cos$\theta$* and corresponding fits with Eq.4 in the method section.

$\phi$-meson $\rho_{00}$ obtained from 1st- and 2nd-order event planes. The red stars (gray squares) show the $\phi$-meson $\rho_{00}$ as a function of beam energy, obtained with the 2nd-order (1st-order) EP.

$\phi$-meson $\rho_{00}$ with respect to different quantization axes. $\phi$-meson $\rho_{00}$ as a function of beam energy, for the out-of-plane direction (stars) and the in-plane direction (diamonds). Curves are fits based on theoretical calculations with a $\phi$-meson field. The corresponding $G_s^{(y)}$ values obtained from the fits are shown in the legend.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

Global spin alignment measurement of $\phi$ and $K^{*0}$ vector mesons in Au+Au collisions at 0-20\% centrality. The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for $K^{*0}$-meson, obtained with the 2nd-order EP.

Global spin alignment measurement of $\phi$ and $K^{*0}$ vector mesons in Au+Au collisions at 0-20\% centrality. The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for $K^{*0}$-meson, obtained with the 2nd-order EP.

Two-dimensional $\rho^0$ momentum distribution from U+U collisions.

The $P_T^2 \approx |t|$ distribution of $\rho^0$ collected from Au+Au collisions.

The $P_T^2 \approx |t|$ distribution of $\rho^0$ collected from U+U collisions.

The $P_T^2 \approx |t|$ distribution of $\rho^0$ with $|\phi| < \pi/24$ collected from Au+Au collisions.

The $P_T^2 \approx |t|$ distribution of $\rho^0$ with $|\phi - \pi/2| < \pi/24$ collected from Au+Au collisions.

The $\phi$ distribution for $\pi^+\pi^-$ pairs with a pair transverse momentum less than 60 MeV and and an invariant mass between 650 and 900 MeV

The $\phi$ distribution for $\pi^+\pi^-$ pairs with a pair transverse momentum less than 60 MeV and and an invariant mass between 650 and 900 MeV

The $2 \langle \cos{2 \phi} \rangle$ distribution vs. pair transverse momentum for $\pi^+\pi^-$ pairs with an invariant mass between 650 and 900 MeV.

The $2 \langle \cos{2\phi} \rangle$ distribution vs. pair transverse momentum for $\pi^+\pi^-$ pairs with an invariant mass between 650 and 900 MeV.

The $2 \langle \cos{2\phi} \rangle$ distribution vs. pair transverse momentum for $\pi^+\pi^-$ pairs with an invariant mass between 650 and 900 MeV from Au+Au collisions.

The distribution of extracted radii R vs. $\phi$ from Au+Au and U+U.

Direct photon spectra for minimum bias (0-86%) Au+Au collision at $\sqrt{s_{NN}} = 62.4$ GeV (a) and $39$ GeV (b). For $62.4$ GeV also centrality bins of 0-20% (c) and 20-40% (d) are shown. Data points are shown with statistical and systematic uncertainties, unless the central value is negative (arrows) or is consistent with zero within the statistical uncertainties (arrows with data point). In these cases upper limit with CL = 95$%$ are given.

Inverse slopes, $T_{eff}$ , obtained from fitting the combined data from central collisions shown in Fig. 11 is compared to the fit results of the individual data sets at $\sqrt{s_{NN}} = 62.4$ GeV, $200$ GeV, and $2760$ GeV. Also included is the value for $\sqrt{s_{NN}} = 39$ GeV obtained from fitting the min. bias data set in the lower $p_T$ range.

Integrated invariant direct-photon yields vs. charged particle multiplicity for $p_{T}$ integrated from (a) 0.4 GeV/c, (b) 1.0 GeV/c, (c) 1.5 GeV/c, and (d) 2.0 to 5.0 GeV/c for all available A+A datasets.

Integrated invariant direct-photon yields vs. charged particle multiplicity for $p_{T}$ integrated from (a) 0.4 GeV/c, (b) 1.0 GeV/c, (c) 1.5 GeV/c, and (d) 2.0 to 5.0 GeV/c for all available A+A datasets.

Integrated invariant direct-photon yields vs. charged particle multiplicity for $p_{T}$ integrated from (a) 0.4 GeV/c, (b) 1.0 GeV/c, (c) 1.5 GeV/c, and (d) 2.0 to 5.0 GeV/c for all available A+A datasets.

Integrated invariant direct-photon yields vs. charged particle multiplicity for $p_{T}$ integrated from (a) 0.4 GeV/c, (b) 1.0 GeV/c, (c) 1.5 GeV/c, and (d) 2.0 to 5.0 GeV/c for all available A+A datasets.

Integrated direct-photon yields from A+A collisions for $p_{T,min}$ of $5$ GeV/c (a) and $8$ GeV/c. The representation is the same as in Fig. 13. Also shown are the results from pQCD calculations scaled by $N_{coll}$

Integrated direct-photon yields from A+A collisions for $p_{T,min}$ of $5$ GeV/c (a) and $8$ GeV/c. The representation is the same as in Fig. 13. Also shown are the results from pQCD calculations scaled by $N_{coll}$

The $\alpha$ values extracted using fits to integrated direct photon yields. The dashed line gives the average $\alpha$ value for the 4 lower $p_{T,min}$ points. Also shown is a model calculation for $\alpha$ discussed in the text.

The transverse momentum dependence of elliptic, triangular and quadrangular flow of particles, antiparticles and their difference for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic, triangular and quadrangular flow of particles, antiparticles and their difference for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic, triangular and quadrangular flow of particles, antiparticles and their difference for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic, triangular and quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic, triangular and quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} k^{+}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} k^{+}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} p^{+}$, for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} p^{+}$, for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} k^{+}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} k^{+}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} p^{+}$, for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} p^{+}$, for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} k^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} k^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3}ki^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3}ki^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 40-80 central Au+Au collisions.

The centrality dependence of $v_{2} (\pi, K, p) $ for Au+Au collisions.

The centrality dependence of $v_{2} (\pi, K, p) $ for Au+Au collisions.

The centrality dependence of $v_{3} (\pi, K, p) $ for Au+Au collisions.

The centrality dependence of $v_{3} (\pi, K, p) $ for Au+Au collisions.

The Au+Au 200 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 54.4 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 39 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 27 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 19.6 GeV measurements of the two- and four-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 11.5 GeV measurements of the two- and four-particle elliptic flow and the elliptic flow fluctuations.

The U+U 193 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Cu+Au 200 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The $p_{T}$ dependencies of $v_{1}$ within $-0.4<y<-0.1$ for $t$ in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity and $p_{T}$ dependencies of $v_{1}$ for $^{3}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{1}$ within $-0.1<y<0$ for $^4$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{1}$ within $-0.4<y<-0.1$ for $^{4}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity and $p_{T}$ dependencies of $v_{2}$ for $p$ in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity and $p_{T}$ dependencies of $v_{2}$ for $d$ in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{2}$ within $-0.1<y<0$ for $t$ in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{2}$ within $-0.4<y<-0.1$ for $t$ in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity and $p_{T}$ dependencies of $v_{2}$ for $^{3}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{2}$ within $-0.1<y<0$ for $^4$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{2}$ within $-0.4<y<-0.1$ for $^{4}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{1}$ for $p$, $d$, and $^{3}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{1}$ for $t$ and $^{4}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{1}$ from JAM plus coalescence calculations in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{2}$ for $p$, $d$, and $^{3}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{2}$ for $t$ and $^{4}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{2}$ from JAM plus coalescence calculations in 10-40% mid-central Au+Au collisions at 3 GeV.

Light nucleus scaled $v_{1}$ slopes as a function os collision energy in 10-40 mid-cantral Au+Au collisions.

Light nucleus scaled $v_{1}$ slopes from JAM plus coalescence in 10-40 mid-cantral Au+Au collisions at 3 GeV.

Centrality dependence of the proton cumulant ratios for Au+Au collisions at $\sqrt{s_{NN}}$ = 3.0 GeV. Protons are from $-0.5 < y < 0$ and $0.4 < p_{T} < 2.0$ GeV/$c$. Systematic uncertainties are represented by gray bars. Statistical uncertainties are smaller than marker size. CBWC is applied to all cumulant ratios. While open squares represent the data without the VFC correction, blue triangles and red circles are the results with VFC using the $\langle N_{\rm{part}} \rangle$ distributions from the UrQMD and Glauber models, respectively. UrQMD model results are represented as gold dashed line.

Centrality dependence of the proton cumulant ratios for Au+Au collisions at $\sqrt{s_{NN}}$ = 3.0 GeV. Protons are from $-0.5 < y < 0$ and $0.4 < p_{T} < 2.0$ GeV/$c$. Systematic uncertainties are represented by gray bars. Statistical uncertainties are smaller than marker size. CBWC is applied to all cumulant ratios. While open squares represent the data without the VFC correction, blue triangles and red circles are the results with VFC using the $\langle N_{\rm{part}} \rangle$ distributions from the UrQMD and Glauber models, respectively. UrQMD model results are represented as gold dashed line.

Rapidity and transverse momentum dependence of the proton cumulant ratios for 0–5% central collisions. Black-squares, red-dots and blue-triangles stand for data without and with the VFC using Glauber and UrQMD, respectively.

Rapidity and transverse momentum dependence of the proton cumulant ratios for 0–5% central collisions. Black-squares, red-dots and blue-triangles stand for data without and with the VFC using Glauber and UrQMD, respectively.

Rapidity and transverse momentum dependence of the proton cumulant ratios for 0–5% central collisions. Black-squares, red-dots and blue-triangles stand for data without and with the VFC using Glauber and UrQMD, respectively.

Rapidity and transverse momentum dependence of the proton cumulant ratios for 0–5% central collisions. Black-squares, red-dots and blue-triangles stand for data without and with the VFC using Glauber and UrQMD, respectively.

Collision energy dependence of the ratios of cumulants, $C_4/C_2$, for proton (squares) and net-proton (red circles) from top 0-5% Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for proton from $\sqrt{s_{NN}}$ = 3.0 GeV collisions is shown as a filled square. HADES data of $\sqrt{s_{NN}}$ = 2.4 GeV 0-10% collisions is also shown. The vertical black and gray bars are the statistical and systematic uncertainties, respectively. In addition, results from the HRG model, based on both Canonical Ensemble (CE) and Grand-Canonical Ensemble (GCE), and transport model UrQMD are presented.