$\eta /s-\hat{q}/T^3$ 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.

arXiv commentSlightly amended version submitted for journal publication

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• Heavy quark dynamics via Gribov-Zwanziger approach
• Jet transport coefficients by elastic and radiative scatterings in the strongly interacting quark-gluon plasma
• Transport properties of the QCD medium
• Can high-$p_{\perp }$ theory and data constrain $\eta /s$?