Taylor expansions and Pad\'e approximants for cumulants of conserved charge fluctuations at non-vanishing chemical potentials

Understand

Using high statistics datasets generated in (2+1)-flavor QCD calculations at finite temperature we present results for low order cumulants of net baryon-number fluctuations at non-zero values of the baryon chemical potential.

• We calculate Taylor expansions for the pressure (zeroth order cumulant), net baryon-number density (first order cumulant) and the variance of the distribution on net-baryon number fluctuations (second order cumulant).
• We obtain series expansions from an eighth order expansion of the pressure and compare these to diagonal Pad\'e approximants.
• This allows us to estimate the range of values for the baryon chemical potential in which these expansions are reliable.