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

By R. N. Lee, A. V. Smirnov and V. A. Smirnov

Abstract

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

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology, Mathematical Physics
Year: 2011
DOI identifier: 10.1140/epjc/s10052-011-1708-0
OAI identifier: oai:arXiv.org:1103.3409
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