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\title{Proton High-order Cumulants Results from the STAR Fixed-Target Program}

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\begin{abstract}
Fluctuations of conserved charges in heavy-ion collisions are expected to be sensitive to a critical point in the phase diagram of QCD matter. Such a critical point is increasingly predicted to be located in the high baryon chemical potential ($\mu_B$) region around $\mu_B$=500-650~MeV. In 2018, the STAR Experiment started collecting data in a fixed-target configuration in order to map the high baryon chemical potential region of the phase diagram at $\mu_B$=420-720~MeV. Critical fluctuations may be observed by measuring various orders of cumulants, $C_n$, of the distributions of baryon number. The collision-energy dependence of net-proton $C_4/C_2$ from STAR's measurements in Beam Energy Scan I hinted at a possible non-monotonic deviation from the non-critical baseline in Au+Au collisions from $\sqrt{s_{NN}}=$ 7.7~GeV to 19.6~GeV, and the first published result from the fixed-target program, in Au+Au collisions at $\sqrt{s_{NN}}=$ 3.0~GeV is consistent with the non-critical baseline.
We report here new results on proton-number high-order cumulants from STAR's Fixed-Target Program. 
Implications for the QCD phase diagram and critical-point search will be discussed.
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