TL;DR
This paper estimates a small non-perturbative contribution to the jet quenching parameter in hot QCD from the magnetic scale, highlighting the challenge of resumming electric scale effects.
Contribution
It provides a non-perturbative estimate of the magnetic scale contribution to qhat using static potential analysis within effective field theory.
Findings
Non-perturbative magnetic contribution is small.
Electric scale contributions remain a significant challenge.
Resummation of electric scale effects is important for accurate predictions.
Abstract
It has been argued by Caron-Huot that infrared contributions to the jet quenching parameter in hot QCD, denoted by qhat, can be extracted from an analysis of a certain static-potential related observable within the dimensionally reduced effective field theory. Following this philosophy, the order of magnitude of a non-perturbative contribution to qhat from the colour-magnetic scale, g^2T/pi, is estimated. The result is small; it is probably below the parametrically perturbative but in practice slowly convergent contributions from the colour-electric scale, whose all-orders resummation therefore remains an important challenge.
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