Multiloop Bubbles for hot QCD

Abstract

In this article, we present analytical expansion results of two single mass scale four-loop vacuum integrals in d=3-2*ep dimensions. After finding hypergeometric representations with half-integer coefficients, we use algorithms which we implemented in FORM to expand these in terms of nested sums.

Comments: 4 pages, to appear in the Proceedings of SEWM08, Amsterdam, the Netherlands, August 26-29, 2008