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

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

2011-03-17

arxiv.org/abs/1103.3409v2

Eur.Phys.J.C71:1708,2011

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1140/epjc/s10052-011-1708-0

We evaluate three typical four-loop non-planar massless propagator diagrams
in a Taylor expansion in dimensional regularization parameter
$\epsilon=(4-d)/2$ 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.

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