2 sigma band of expected combination limits at 95% CL in the $(m_{a},m_{A})$ plane under the assumption of $sin\theta$ = 0.35.

Observed combination limits at 95% CL in the $(m_{a},m_{A})$ plane under the assumption of $sin\theta$ = 0.7.

Expected combination limits at 95% CL in the $(m_{a},m_{A})$ plane under the assumption of $sin\theta$ = 0.7.

1 sigma band of expected combination limits at 95% CL in the $(m_{a},m_{A})$ plane under the assumption of $sin\theta$ = 0.7.

2 sigma band of expected combination limits at 95% CL in the $(m_{a},m_{A})$ plane under the assumption of $sin\theta$ = 0.7.

Observed limits of H(inv) at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35.

Expected limits of H(inv) at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35.

Observed limits of monoh(bb) at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35.

Expected limits of monoh(bb) at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35.

Observed limits of $h\to aa \to \mu\mu\tau\tau$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed limits of $h\to aa \to bbbb$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed limits of $h\to aa \to bb\mu\mu$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed limits of $h\to aa \to 4 \mu$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed limits of $h\to aa \to 4 \mu$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed limits of $h\to aa \to 4 \mu$ at 95% CL in the $(m_{a},m_{\chi})$ plane under the assumption of $m_{A}$ = 1.2 TeV, $tan\beta$ = 1.0 and $sin\theta$ = 0.35. Data points included are corresponding to the lower bound of the exclusion contour. The region above the bound was excluded.

Observed combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

Expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

1 sigma band of expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

2 sigma band of expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

Observed combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

Expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

1 sigma band of expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

2 sigma band of expected combination limits at 95% CL in the $(m_{A},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

Observed combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

Expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

1 sigma band of expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

2 sigma band of expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.35.

Observed combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

Expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

1 sigma band of expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

2 sigma band of expected combination limits at 95% CL in the $(m_{a},tan\beta)$ plane under the assumption of $sin\theta$ = 0.7.

Observed and expected combination limits at 95% CL as a function of $sin\theta$ for the low-mass hypothesis $m_{A}$ = 0.6 TeV, $m_{a}$ = 200 GeV.

Observed and expected combination limits at 95% CL as a function of $sin\theta$ for the high-mass hypothesis $m_{A}$ = 1 TeV, $m_{a}$ = 350 GeV.

Observed and expected combination limits at 95% CL as a function of $m_{\chi}$ following the parameter choices of $m_{A}$ = 1 TeV, $m_{a}$ = 400 GeV.

Di-muon mass distribution for the $\mu\mu\mu$ signal region for data and expected background. The expected signal distribution for $m_a = 35$ GeV is shown assuming $\sigma(t\bar{t}a)\times \text{Br}(a\rightarrow\mu\mu) = 4$ fb. Rare background processes include $ZZ+$jets, $WWZ$, $WZZ$, $ZZZ$, and $t\bar{t}t\bar{t}$.

Fit of the Double Crystal Ball width as a function of the $a$-boson mass in the $e\mu\mu$ channel.

Expected and observed 95% CL upper limit on signal cross section as a function of $m_a$ for $t\bar{t}a$.

Expected and observed 95% CL upper limit on signal cross section as a function of $m_a$ for $H^{+}\rightarrow aW$, considering a top pair cross section of $\sigma(pp\rightarrow t\bar{t})= 833$ pb for the charged Higgs boson mass, $m_{H^{+}} = 120$ GeV.

Expected and observed 95% CL upper limit on signal cross section as a function of $m_a$ for $H^{+}\rightarrow aW$, considering a top pair cross section of $\sigma(pp\rightarrow t\bar{t})= 833$ pb for the charged Higgs boson mass, $m_{H^{+}} = 140$ GeV.

Expected and observed 95% CL upper limit on signal cross section as a function of $m_a$ for $H^{+}\rightarrow aW$, considering a top pair cross section of $\sigma(pp\rightarrow t\bar{t})= 833$ pb for the charged Higgs boson mass, $m_{H^{+}} = 160$ GeV.

Comparison of the expected background with data in a region dominated by non-prompt background. The region is defined exactly like the $e\mu\mu$ signal region but requiring the two selected muons to have the same electrical charge.

Scan of the observed p-value as a function of $m_a$ for the background-only hypothesis.

Scan of the observed p-value as a function of $m_a$ for the background-only hypothesis for $e\mu\mu$ channel.

Scan of the observed p-value as a function of $m_a$ for the background-only hypothesis for $\mu\mu\mu$ channel.

Acceptance times efficiency for the $t\bar{t}a$, $a\rightarrow \mu\mu$ signal as a function of the $m_a$ hypothesis.

Acceptance times efficiency for the $t \rightarrow bH^+$, $H^+ \rightarrow W^+ a$, $a\rightarrow \mu\mu$ signal as a function of the $m_a$ and $m_{H^+}$ hypotheses, for the $e\mu\mu$ signal region. The upper left region of the plot corresponds to signals for which on-shell decays of $H^+ \rightarrow Wa$ are not possible. The CP conjugate process is also included.

Acceptance times efficiency for the $t \rightarrow bH^+ $, $H^+ \rightarrow W^+ a$, $a\rightarrow \mu\mu$ signal as a function of the $m_a$ and $m_{H^+}$ hypotheses, for the $\mu\mu\mu$ signal region. The upper left region of the plot corresponds to signals for which on-shell decays of $H^+ \rightarrow Wa$ are not possible. The CP conjugate process is also included.

Expected lower limits on $\tan\beta$ for the $t\rightarrow H^{+}b, H^{+}\rightarrow aW, a\rightarrow\mu\mu$ signal in the context of the 2HDM as a function of $m_{H^{+}}$ and $m_a$.

Observed lower limits on $\tan\beta$ for the $t\rightarrow H^{+}b, H^{+}\rightarrow aW, a\rightarrow\mu\mu$ signal in the context of the 2HDM as a function of $m_{H^{+}}$ and $m_a$.

Cutflow for two signal mass points for $t\bar{t}a$, $m_{a} = 20$ GeV and $m_{a} = 60$ GeV, and one signal mass point for $H^+ \rightarrow Wa$ for the electron channel $e\mu\mu$. For the signal yields, a cross section times branching ratio of 1 fb is assumed. The yields are presented before the profile likelihood fit.

Cutflow for the dominant backgrounds estimated from simulation ($t\bar{t}Z$, $WZ$, $t\bar{t}H$) and data, for the electron channel $e\mu\mu$. The yields are presented before the profile likelihood fit.

Cutflow for the signal mass point $t\bar{t}a$, $m_{a} = 20$ GeV, as well as the dominant backgrounds estimated from simulation ($t\bar{t}Z$, $WZ$, $t\bar{t}H$) and data, for the corresponding signal mass hypothesis, for the muon channel $\mu\mu\mu$. For the signal yields, a cross section times branching ratio of 1 fb is assumed. The yields are presented before the profile likelihood fit.

Cutflow for the signal mass point $t\bar{t}a$, $m_{a} = 60$ GeV, as well as the dominant backgrounds estimated from simulation ($t\bar{t}Z$, $WZ$, $t\bar{t}H$) and data, for the corresponding signal mass hypothesis, for the muon channel $\mu\mu\mu$. For the signal yields, a cross section times branching ratio of 1 fb is assumed. The yields are presented before the profile likelihood fit.

Cutflow for $H^+ \rightarrow W a$ with $m_{H^{+}} = 120$ GeV, $m_{a} = 30$ GeV for the muon channel $\mu\mu\mu$. A cross section times branching ratio of 1 fb is assumed. The yields are presented before the profile likelihood fit.

Total yields in the $e\mu\mu$ and $\mu\mu\mu$ signal regions for the expected background and data after the profile likelihood fit for a $m_a = 30$ GeV signal mass hypothesis.

Average timing distributions for SR data and the estimated background as determined by the background-only fit, in each of the five exclusive $\rho$ categories. For comparison, the expected timing shapes for a few different signal models are superimposed, with each model labeled by the values of the $\tilde\chi^0_1$ mass and lifetime, as well as decay mode. To provide some indication of the variations in signal yield and shape, three signal models are shown for each of the $\tilde\chi^0_1$ decay modes, namely $\tilde\chi^0_1$ $\rightarrow$ $H \tilde G$ and $\tilde\chi^0_1$ $\rightarrow$ $Z \tilde G$. The models shown include a rather low $\tilde\chi^0_1$ mass value of 135 GeV for lifetimes of either 2 ns or 10 ns, and a higher $\tilde\chi^0_1$ mass value which is near the 95% CL exclusion limit for each decay mode for a lifetime of 2 ns. Each signal model is shown with the signal normalization corresponding to a BR value of unity for the decay mode in question.

Average timing distributions for SR data and the estimated background as determined by the background-only fit, in each of the five exclusive $\rho$ categories. For comparison, the expected timing shapes for a few different signal models are superimposed, with each model labeled by the values of the $\tilde\chi^0_1$ mass and lifetime, as well as decay mode. To provide some indication of the variations in signal yield and shape, three signal models are shown for each of the $\tilde\chi^0_1$ decay modes, namely $\tilde\chi^0_1$ $\rightarrow$ $H \tilde G$ and $\tilde\chi^0_1$ $\rightarrow$ $Z \tilde G$. The models shown include a rather low $\tilde\chi^0_1$ mass value of 135 GeV for lifetimes of either 2 ns or 10 ns, and a higher $\tilde\chi^0_1$ mass value which is near the 95% CL exclusion limit for each decay mode for a lifetime of 2 ns. Each signal model is shown with the signal normalization corresponding to a BR value of unity for the decay mode in question.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ mass (left) and $\tilde\chi^0_1$ lifetime (right), for the different decay modes of $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$) = 1 (top) and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 (bottom). For the limits as a function of mass (lifetime), several signal models with varying lifetime (mass) are overlaid for comparison. Included are the theoretical expectations from higgsino production for each mass hypothesis, calculated from a GMSB SUSY model that assumes nearly degenerate $\tilde\chi^0_1$, $\tilde\chi^\pm_1$, and $\tilde\chi^0_2$.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ branching ratio to the SM Higgs boson, where the assumed cross-section is for higgsino production, and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 - $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$). Several signal hypotheses are overlaid that are labelled by the $\tilde\chi^0_1$ mass, all with a fixed $\tilde\chi^0_1$ lifetime of 2 ns.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ branching ratio to the SM Higgs boson, where the assumed cross-section is for higgsino production, and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 - $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$). Several signal hypotheses are overlaid that are labelled by the $\tilde\chi^0_1$ mass, all with a fixed $\tilde\chi^0_1$ lifetime of 2 ns.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ branching ratio to the SM Higgs boson, where the assumed cross-section is for higgsino production, and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 - $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$). Several signal hypotheses are overlaid that are labelled by the $\tilde\chi^0_1$ mass, all with a fixed $\tilde\chi^0_1$ lifetime of 2 ns.

The 95% CL limits on $\sigma(pp \rightarrow \tilde\chi^0_1 \tilde\chi^0_1$) in fb as a function of $\tilde\chi^0_1$ branching ratio to the SM Higgs boson, where the assumed cross-section is for higgsino production, and $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow Z +\tilde{G}$) = 1 - $\mathcal{B}$($\tilde\chi^0_1$ $\rightarrow H + \tilde{G}$). Several signal hypotheses are overlaid that are labelled by the $\tilde\chi^0_1$ mass, all with a fixed $\tilde\chi^0_1$ lifetime of 2 ns.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

The 95% CL exclusion limits on the target signal hypothesis, for $\tilde\chi^0_1$ lifetime in ns as a function of $\tilde\chi^0_1$ mass in GeV. The overlaid curves correspond to different decay hypotheses, where the assumed cross-section is for higgsino production, and the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ or $Z + \tilde{G}$ such that $\mathcal{B}(H + \tilde{G}) + \mathcal{B}(Z + \tilde{G})$ = 100%. The curve shown in red represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $Z + \tilde{G}$ with 100% branching ratio. The curve shown in blue represents the decay hypothesis where the $\tilde\chi^0_1$ decays to $H + \tilde{G}$ with 100% branching ratio.

Cutflow for an example higgsino signal with mass 225 GeV and lifetime 10 ns, in the H decay mode. Acceptance is defined at truth level, and efficiency compares the events passing at reconstruction level with respect to truth.

Cutflow for an example higgsino signal with mass 225 GeV and lifetime 10 ns, in the Z decay mode. Acceptance is defined at truth level, and efficiency compares the events passing at reconstruction level with respect to truth.

Cutflow for an example higgsino signal with mass 225 GeV and lifetime 2 ns, in the H decay mode. Acceptance is defined at truth level, and efficiency compares the events passing at reconstruction level with respect to truth.

Cutflow for an example higgsino signal with mass 225 GeV and lifetime 2 ns, in the Z decay mode. Acceptance is defined at truth level, and efficiency compares the events passing at reconstruction level with respect to truth.

Acceptance across the H decay mode signal grid, calculated using truth information. The selection applied corresponds to the model-independent signal region (i.e. the standard SR with $t_{\text{avg}$ > 0.9 ns).

Acceptance across the Z decay mode signal grid, calculated using truth information. The selection applied corresponds to the model-independent signal region (i.e. the standard SR with $t_{\text{avg}$ > 0.9 ns).

Efficiency across the H decay mode signal grid, calculated using reco information. The selection applied corresponds to the model-independent signal region (i.e. the standard SR with $t_{\text{avg}$ > 0.9 ns). Here, the numerator is the signal yield passing the reco selection and the denominator is the signal yield passing the truth selection.

Efficiency across the Z decay mode signal grid, calculated using reco information. The selection applied corresponds to the model-independent signal region (i.e. the standard SR with $t_{\text{avg}$ > 0.9 ns). Here, the numerator is the signal yield passing the reco selection and the denominator is the signal yield passing the truth selection.

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_4$ for Au+Au collisions at 54.4 GeV.

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_5$ for Au+Au collisions at 54.4 GeV.

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_4$ for Au+Au collisions at 39.0 GeV.

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_4$ for Au+Au collisions at 27.0 GeV.

Comparison of the $\chi_{4,22}$ and $\rho_{4,22}$ for Au+Au collisions at 54.4 GeV.

Comparison of the $\chi_{3,23}$ and $\rho_{5,23}$ for Au+Au collisions at 54.4 GeV.

Comparison of the $\chi_{4,22}$ and $\rho_{4,22}$ for Au+Au collisions at 39.0 GeV.

Comparison of the $\chi_{4,22}$ and $\rho_{4,22}$ for Au+Au collisions at 27.0 GeV.

Comparison of the $NSC(2,3)$ and $NSC(2,4)$ for Au+Au collisions at 54.4 GeV.

Comparison of the $NSC(2,3)$ and $NSC(2,4)$ for Au+Au collisions at 27.0 GeV.

$p_{\mathrm T}$-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.

Invariant yields of tritons at 19.6 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 27 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 39 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 54.4 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 62.4 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 200 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Triton integral dN/dy in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4, 200 GeV, all centrality

Invariant yields of inclusive proton at 54.4 GeV with DCA < 3 cm, all centralities

Inclusive proton integral dN/dy in Au+Au collisions at SQRT(s_NN) = 54.4 GeV, with DCA < 3 cm.

Invariant yields of deuteron at 54.4 GeV, all centralities

Deuteron integral dN/dy in Au+Au collisions at SQRT(s_NN) = 54.4 GeV, all centrality

Particle yield ratios at 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4, and 200 GeV, 0%-10% centrality

Charged-particle multiplicity (dN_{ch}/d\eta) of light nuclei yield ratio, all centralities

Collision energy, centrality, and p_{T} dependence of light nuclei yield, 0%-10% and 40%-80% centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV at 0-60% centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 7.7 GeV at 60-80% centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 11.5 GeV, all centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 14.5 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 19.6 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 27 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 39 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 54.4 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 62.4 GeV

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 7.7 GeV at 0-60% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 7.7 GeV at 60-80% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 11.5 GeV at 0-40% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 11.5 GeV at 40-80% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 14.5 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 19.6 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 27 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 39 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 62.4 GeV, all centrality

Integral yields dN/dy of primordial protons in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 200, all centrality

Integral yields dN/dy of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 200, all centrality

Integral yields dN/dy of primordial protons and antiprotons in Au+Au collisions at SQRT(s_NN) = 62.4, all centrality

Proton feed-down fraction in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 200, all centrality

Antiproton weak decay feed-down fraction in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, all centrality

Protons and antiprotons weak decay feed-down fraction in Au+Au collisions at SQRT(s_NN) = 62.4, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 27 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 54.4 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 27 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 54.4 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 27 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 54.4 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, all centrality

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

'Identified transverse momentum spectra of $\pi^{-}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV'

'Identified transverse momentum spectra of $K^{-}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV'

'Identified transverse momentum spectra of $\bar{p}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV'

'Average transverse momentum as a function of $\langle$N$_{part}$$\rangle$ for $\pi^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'Average transverse momentum as a function of $\langle$N$_{part}$$\rangle$ for $K^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'Average transverse momentum as a function of $\langle$N$_{part}$$\rangle$ for p at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for $\pi^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for $K^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for p at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for $\bar{p}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$\pi^{−}$/$\pi^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$K^{−}$/$K^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$\bar{p}$/p ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$K^{+}$/$\pi^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$K^{-}$/$\pi^{-}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'p/$\pi^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$\bar{p}$/$\pi^{-}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'