Searching for the QCD critical endpoint using multi-point Pad\'e approximations

Using the multi-point Pad\'e approach, we locate Lee-Yang edge singularities of the QCD pressure in the complex baryon chemical potential plane. These singularities are extracted from singularities in the net baryon-number density calculated in Nf=2+1 lattice QCD at physical quark mass and purely imaginary chemical potential. Taking an appropriate scaling ansatz in the vicinity of the conjectured QCD critical endpoint, we extrapolate the singularities on N_τ=6 lattices to pure real baryon chemical potential to estimate the position of the critical endpoint (CEP). We find TCEP=105⁺⁸₋₁₈~ MeV and μBCEP = 422⁺⁸⁰₋₃₅~ MeV, which compares well with recent estimates in the literature. For the slope of the transition line at the critical point we find $-0.16(24)$.