Realistic equation of state for QCD with a critical point

We combine state-of-the-art lattice QCD calculations with expected critical behavior to produce a family of equations of state. Each equation of state matches available lattice results and contains a critical point from the 3D Ising model universality class. The position of this critical point can be chosen in the range of chemical potentials covered by the second Beam Energy Scan at the Relativistic Heavy Ion Collider (RHIC). Our results for the pressure, entropy density, baryon density, energy density and speed of sound can be used as inputs in hydrodynamic simulations of heavy ion collisions. In the future, comparisons between RHIC data and the output of the hydrodynamic simulations built upon the quations of state that we have constructed may be used to locate the critical point in the QCD phase diagram, if there is one to be found.