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.