A new three-loop sum-integral of mass dimension two
I. Ghisoiu, Y. Schroder

TL;DR
This paper evaluates a new three-loop sum-integral relevant to the Debye screening mass in hot QCD, deriving divergences analytically and numerically computing the finite part.
Contribution
It introduces and evaluates a novel three-loop sum-integral, providing analytical divergence extraction and numerical finite part calculation for the first time.
Findings
Analytical divergence expressions derived
Finite part numerically evaluated
Contributes to understanding Debye mass in hot QCD
Abstract
We evaluate a new 3-loop sum-integral which contributes to the Debye screening mass in hot QCD. While we manage to derive all divergences analytically, its finite part is mapped onto simple integrals and evaluated numerically.
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