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We present new results on up to $6^{th}$ order cumulants of net baryon-numberfluctuations at small values of the baryon chemical potential, $\mu_B$,obtained in lattice QCD calculations with physical values of light and strangequark masses. Representation of the Taylor expansions of higher order cumulantsin terms of the ratio of the two lowest order cumulants,$M_B/\sigma_B^2=\chi_1^B(T,\mu_B)/\chi_2^B(T,\mu_B)$, allows for a parameterfree comparison with data on net proton-number cumulants obtained by the STARCollaboration in the Beam Energy Scan at RHIC. We show that recent highstatistics data on skewness and kurtosis ratios of net proton-numberdistributions, obtained at beam energy $\sqrt{s_{_{NN}}}=54.4$ GeV, agree wellwith lattice QCD results on cumulants of net baryon-number fluctuations closeto the pseudo-critical temperature, $T_{pc}(\mu_B)$, for the chiral transitionin QCD. We also present first results from a next-to-leading order expansion of$5^{th}$ and $6^{th}$ order cumulants on the line of pseudo-criticaltemperatures.

Skewness, kurtosis and the 5th and 6th order cumulants of net baryon-number distributions from lattice QCD confront high-statistics STAR data