Building a testable shear viscosity across the QCD phase diagram

Current experiments at the Relativistic Heavy Ion Collider (RHIC) are probing finite baryon densities where the shear viscosity to enthalpy ratio $ηT/w$ of the Quark Gluon Plasma remains unknown. We use the Hadron Resonance Gas (HRG) model with the most up-to-date hadron list to calculate $ηT/w$ at low temperatures and at finite baryon densities $ρ_B$. We then match $ηT/w$ to a QCD-based shear viscosity calculation within the deconfined phase to create a table across $\left\{T,μ_B\right\}$ for different cross-over and critical point scenarios at a specified location. We find that these new $ηT/w(T,μ_B)$ values would require initial conditions at significantly larger $ρ_B$, compared to ideal hydrodynamic trajectories, in order to reach the same freeze-out point.

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