On Epsilon Expansions of Four-loop Non-planar Massless Propagator Diagrams

Abstract

We evaluate three typical four-loop non-planar massless propagator diagrams in a Taylor expansion in dimensional regularization parameter $ϵ=(4-d)/2$ up to transcendentality weight twelve, using a recently developed method of one of the present coauthors (R.L.). We observe only multiple zeta values in our results.

Comments: 3 pages, 1 figure, results unchanged, discussion improved, to appear in European Physical Journal C