On the QCD critical point, Lee-Yang edge singularities and Pade resummations

Abstract

We analyze the trajectory of the Lee-Yang edge singularities of the QCD equation of state in the complex baryon chemical potential (${\mu }_B$) plane for different values of the temperature by using the recent lattice results for the Taylor expansion coefficients up to eighth order in ${\mu }_B$ and various resummation techniques that blend in Pade expansions and conformal maps. By extrapolating from this information, we estimate for the location of the QCD critical point, $T_c\approx 100$ MeV, ${\mu }_c\approx 580$ MeV. We also estimate the crossover slope at the critical point to be ${\alpha }_1\approx 9^{\circ }$ and further constrain the non-universal mapping parameters between the three dimensional Ising model and QCD equations of state.

Comments: Journal version, new analysis using the Wuppertal Budapest data added, 14 pages, 12 figures, 2 table