Tackling the infamous $g^6$ term of the QCD pressure

Abstract

We report on ongoing efforts to tackle an important open problem in QCD thermodynamics, namely an evaluation of the pressure to order $g^6$ in a weak-coupling expansion, corresponding to four loops. In particular, we identify a class of contributing Feynman sum-integrals with lower-loop factors, describe the formalism to tensor decompose those, and manage to map them onto scalar master sum-integrals that have already been evaluated in the literature.

Comments: 10 pages, 1 figure. Contribution to the proceedings of "Loops and Legs in Quantum Field Theory" (LL2022), Ettal, Germany; v2 to match the published version