4.7 Article

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

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EUROPEAN PHYSICAL JOURNAL C
卷 71, 期 8, 页码 -

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SPRINGER
DOI: 10.1140/epjc/s10052-011-1708-0

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资金

  1. Russian Foundation for Basic Research [11-02-01196]
  2. DFG [SFB/TR 9]
  3. Federal special-purpose program Scientific and scientific-pedagogical personnel of innovative Russia
  4. Karlsruhe Institut fur Theoretische Teilchenphysik

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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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