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arXiv · 1103.3409

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

R. N. Lee·A. V. Smirnov·V. A. Smirnov
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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.

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R. N. Lee, A. V. Smirnov, V. A. Smirnov. 2011-07-06. On Epsilon Expansions of Four-loop Non-planar Massless Propagator Diagrams. https://doi.org/10.1140/epjc%2Fs10052-011-1708-0

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