PUB - Publikationen an der Universität Bielefeld

We propose a novel Bayesian method to analytically continue observables to real baryochemical potential μB\mu_BμB​ in finite density QCD. Taylor coefficients at μB=0\mu_B=0μB​=0 and data at imaginary chemical potential μBI\mu_B^IμBI​ are treated on equal footing. We consider two different constructions for the Pad\'e approximants, the classical multipoint Pad\'e approximation and a mixed approximation that is a slight generalization of a recent idea in Pad\'e approximation theory. Approximants with spurious poles are excluded from the analysis. As an application, we perform a joint analysis of the available continuum extrapolated lattice data for both pseudocritical temperature TcT_cTc​ at μBI\mu_B^IμBI​ from the Wuppertal-Budapest Collaboration and Taylor coefficients κ2\kappa_2κ2​ and κ4\kappa_4κ4​ from the HotQCD Collaboration. An apparent convergence of [p/p][p/p][p/p] and [p/p+1][p/p+1][p/p+1] sequences of rational functions is observed with increasing p.p.p. We present our extrapolation up to μB≈600\mu_B\approx 600μB​≈600 MeV.