Investigating the collision energy dependence of in the beam energy scan at the BNL Relativistic Heavy Ion Collider using Bayesian statistics
Jussi Auvinen (Department of Physics, Duke University, Durham, North Carolina 27708, USA); Jonah E. Bernhard (Department of Physics, Duke University, Durham, North Carolina 27708, USA); Steffen A. Bass (Department of Physics, Duke University, Durham, North Carolina 27708, USA); Iurii Karpenko (INFN - Sezione di Firenze, I-50019 Sesto Fiorentino, Firenze, Italy)
We determine the probability distributions of the shear viscosity over the entropy density ratio in the quark-gluon plasma formed in Au + Au collisions at , and , using Bayesian inference and Gaussian process emulators for a model-to-data statistical analysis that probes the full input parameter space of a transport + viscous hydrodynamics hybrid model. We find the most likely value of to be larger at smaller , although the uncertainties still allow for a constant value between 0.10 and 0.15 for the investigated collision energy range.