On epsilon expansions of four-loop non-planar massless propagator diagrams

2011/03/31 by Roman N. Lee, R. N. Lee, Alexander V. Smirnov +3
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics #Computer science #Dimensional regularization #Loop (graph theory) #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Physics #Planar #Propagator #Regularization (linguistics) #Renormalization #hep-ph #hep-th #math-ph #math.MP

paper · pdf · doi:10.1140/epjc/s10052-011-1708-0

published as Eur.Phys.J.C71:1708,2011 · 3 pages, 1 figure, results unchanged, discussion improved, to appear in European Physical Journal C

arxiv created 2011/07/06 · openalex publication_date 2011/08/01 · arxiv updated 2011/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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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