QCD Critical Point, Lee-Yang Edge Singularities, and Padé Resummations

I 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 Pad & eacute; expansions and conformal maps. By extrapolating from this information, I estimate for the location of the QCD critical point: Tc approximate to 100 MeV, mu c approximate to 580 MeV. I also estimate the crossover slope at the critical point to be alpha 1 approximate to 9 degrees and further constrain the nonuniversal mapping parameters between the three-dimensional Ising model and QCD equations of state.