A new method for taming tensor sum-integrals
High Energy Physics - Phenomenology
2026-03-24 v2 High Energy Physics - Theory
Abstract
We report on the computation of a class of massless bosonic three-loop vacuum sum-integrals which are key building blocks for an evaluation of the Debye screening mass in hot QCD. Generalizing known techniques and introducing the concept of tensor reduction by dimensionality shifts (known to the zero-temperature community since the work of Tarasov in 1996) to finite temperature, we are able to treat hitherto unaccessible cases, which will allow us to finalize the long-term project of NNLO Debye mass evaluation.
Cite
@article{arxiv.1208.0284,
title = {A new method for taming tensor sum-integrals},
author = {Ioan Ghisoiu and York Schröder},
journal= {arXiv preprint arXiv:1208.0284},
year = {2026}
}
Comments
26 pages; v2: fixed errors in eq.(B.5) and main result eqs.(5.1)-(5.3)