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

TL;DR

This paper investigates the relationship between shear viscosity and jet quenching in perturbative QCD at next-to-leading order, finding the relation remains robust despite large NLO corrections to individual coefficients.

Contribution

It provides the first NLO analysis of the $rac{ ext{eta}}{ ext{s}}$ and $rac{ ext{qhat}}{T^3}$ relation, demonstrating its stability in perturbative QCD.

Findings

The relation between $rac{ ext{eta}}{ ext{s}}$ and $rac{ ext{qhat}}{T^3}$ changes little at NLO.

Both transport coefficients are significantly modified at NLO.

The robustness of the relation is confirmed despite large NLO corrections.

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.