Proof of a mass singularity free property in high temperature QCD

TL;DR

This paper demonstrates that specific diagram series in high-temperature QCD calculations are free of mass and collinear singularities, extending previous results to all orders in thermal perturbation theory.

Contribution

It proves a mass singularity free property for certain diagram series in high-temperature QCD, generalizing earlier third-order findings to all orders.

Findings

Diagram series are mass singularity free in high-temperature QCD.

The result extends previous third-order proof to all orders.

Supports the consistency of perturbative calculations in hot QCD.

Abstract

It is shown that three series of diagrams entering the calculation of some hot $QCD$ process, are mass (or collinear) singularity free, indeed. This generalizes a result which was recently established up to the third non trivial order of (thermal) Perturbation Theory.