Searching for the QCD Critical Point Along the Pseudo-critical/Freeze-out Line Using Padé-resummed Taylor Expansions of Cumulants of Conserved Charge Fluctuations

Using high-statistics data sets generated in (2+1)-flavor QCD calculations at finite temperature, we construct estimators for the radius of convergence from an eighth-order series expansion of the pressure as well as the number density. We show that the estimator for pressure and number density will be identical in the asymptotic limit. In the vicinity of the pseudo-critical temperature, T-pc similar or equal to 156.5 MeV, we find the estimator of the radius of convergence to be mu(B)/T greater than or similar to 3 for strangeness-neutral matter. We also present results for the pole structure of the Pade approximants for the pressure at non-zero values of the baryon chemical potential and show that the pole structure of the [4,4] Pade is consistent with not having a critical point at temperatures larger than 135 MeV and a baryon chemical potential smaller than mu(B)/T similar to 2.5.