$\eta /s-\hat{q}/T^3$ Relation at Next-to-Leading Order in QCD

Abstract

The relation between the specific shear viscosity $\eta /s$ and the dimensionless jet quenching parameter $\hat{q}/T^3$ in perturbative QCD is explored at next-to-leading order in the coupling constant. It is shown that the relation changes little, although both transport coefficients independently are subject to large modifications at the NLO level. This finding confirms that the relationship is robust.

Comments: Slightly amended version submitted for journal publication