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We construct an equation of state for Quantum Chromodynamics (QCD) at finitetemperature and chemical potentials for baryon number $B$, electric charge $Q$and strangeness $S$. We use the Taylor expansion method, up to the fourth powerfor the chemical potentials. This requires the knowledge of all diagonal andnon-diagonal $BQS$ correlators up to fourth order: these results recentlybecame available from lattice QCD simulations, albeit only at a finite latticespacing $N_t=12$. We smoothly merge these results to the Hadron Resonance Gas(HRG) model, to be able to reach temperatures as low as 30 MeV; in the hightemperature regime, we impose a smooth approach to the Stefan-Boltzmann limit.We provide a parameterization for each one of these $BQS$ correlators asfunctions of the temperature. We then calculate pressure, energy density,entropy density, baryonic, strangeness, electric charge densities and comparethe two cases of strangeness neutrality and $\mu_S=\mu_Q=0$. We also calculatethe isentropic trajectories and compare them in the two cases. Our equation ofstate can be readily used as an input of hydrodynamical simulations of mattercreated at the Relativistic Heavy Ion Collider (RHIC).

Lattice-based equation of state at finite baryon number, electric charge and strangeness chemical potentials