Hypergeometric representation of a four-loop vacuum bubble

Abstract

In this article, we present a new analytic result for a certain single-mass-scale four-loop vacuum (bubble) integral. We also discuss its systematic $\text{e}$-expansion in $d=4-2\text{e}$ as well as $d=3-2\text{e}$ dimensions, the coefficients of which are expressible in terms of harmonic sums at infinity.

Comments: 5 pages, to appear in the proceedings of the conference "Loops and Legs", Eisenach, 2006