The QCD equation of state at finite density from analytical continuation

An efficient way to study the QCD phase diagram at small finite density is to extrapolate thermodynamical observables from imaginary chemical potential. In this talk we present results on several observables for the equation of state to order (μ_B/T)⁶. The observables are calculated along the isentropic trajectories in the (T, μ_B) plane corresponding to the RHIC Beam Energy Scan collision energies. The simulations are performed at the physical mass for the light and strange quarks. μ_S was tuned in a way to enforce strangeness neutrality to match the experimental conditions; the results are continuum extrapolated using lattices of up to N_t = 16 temporal resolution. (authors)