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\textbf{Precision Measurement of Kinematic Range Scan of Fluctuations of (Net-)proton Multiplicity Distributions in Au+Au Collisions from RHIC-STAR}

\textit{Yige Huang$^{1,2}$}

(for the STAR Collaboration)

\textit{$^{1}$Key Laboratory of Quark and Lepton Physics (MOE) \& Institute of Particle Physics,Central China Normal University, Wuhan 430079, China}

\textit{$^{2}$GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt 64291, Germany}

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\textbf{Abstract}
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Higher-order cumulants of (net-)proton multiplicity distributions serve as sensitive observables for probing the QCD phase diagram and searching for the QCD critical point (CP). Critical point is a long range collective phenomenon, and within a larger kinematic range, the critical point signal is significantly enhanced, especially in the higher-order cumulants of net-proton multiplicity distributions. To explore these critical phenomena we conduct a detailed kinematic range scan of the (net-)proton number cumulants up to fourth order.

In this talk, we present the precision measurements of systematical kinematic range scans of the (net-)proton multiplicity cumulants along both rapidity and transverse momentum axes in Au+Au collisions at $\sqrt{s_{NN}}=7.7\ \mathrm{to}\ 27$ GeV from the beam energy scan program (phase-II) of the STAR experiment at RHIC. We apply both cumulative and differential scans to explore long-range correlations and examine the behaviors of cumulants within localized rapidity ($y$) and transverse momentum ($p_T$) bins. The results from 0-5\% most central collisions are compared with non-critical model calculations and with data from 70-80\% peripheral collisions, both of which are used as references.

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