Conserved Charge Fluctuations from Lattice QCD and the Beam Energy Scan

Understand

We discuss the next-to-leading order Taylor expansion of ratios of cumulants of net-baryon number fluctuations.

• We focus on the relation between the skewness ratio, $S_B\sigma_B = \chi_3^B/\chi_1^B$, and the kurtosis ratio, $\kappa_B\sigma_B^2 =\chi_4^B/\chi_2^B$.
• We show that differences in these two cumulant ratios are small for small values of the baryon chemical potential.
• The next-to-leading order correction to $\kappa_B\sigma_B^2$ however is approximately three times larger than that for $S_B\sigma_B$.