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

R. N. Lee; A. V. Smirnov; V. A. Smirnov

doi:10.1140/epjc/s10052-011-1708-0

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

High Energy Physics - Theory 2011-08-17 v2 High Energy Physics - Phenomenology Mathematical Physics math.MP

Authors: 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 $\epsilon=(4-d)/2$ 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.

Keywords

epsilon expansion four-loop non-planar diagrams massless propagator dimensional regularization multiple zeta values

Cite

@article{arxiv.1103.3409,
  title  = {On Epsilon Expansions of Four-loop Non-planar Massless Propagator Diagrams},
  author = {R. N. Lee and A. V. Smirnov and V. A. Smirnov},
  journal= {arXiv preprint arXiv:1103.3409},
  year   = {2011}
}

Comments

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

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

Abstract

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