Finite density QCD equation of state: Critical point and lattice-based T' expansion

We present a novel construction of the QCD equation of state (EoS) at finite baryon density. Our work combines a recently proposed resummation scheme for lattice QCD results with the universal critical behavior at the QCD critical point. This allows us to obtain a family of equations of state in the range 0 <= mu B <= 700 MeV and 25 MeV <= T <= 800 MeV, which match lattice QCD results near mu B = 0 while featuring a critical point in the 3D Ising model universality class. The position of the critical point can be chosen within the range accessible to beam-energy scan heavy-ion collision experiments. The strength of the singularity and the shape of the critical region are parametrized using a standard parameter set. We impose stability and causality constraints and discuss the available ranges of critical point parameter choices, finding that they extend beyond earlier parametric QCD EoS proposals. We present thermodytibility and speed of sound, that cover a wide range in the QCD phase diagram relevant for experimental exploration.