Fun with higher-loop Feynman diagrams

Abstract

We review recent progress that we have achieved in evaluating the class of fully massive vacuum integrals at five loops. After discussing topics that arise in classification, evaluation and algorithmic codification of this specific set of Feynman integrals, we present some selected new results for their expansions around $4-2\epsilon$ dimensions.

5 pages, 2 figures. to appear in the proceedings of ACAT 2016

Cited by in corpus (5)

• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Complete renormalization of QCD at five loops
• Four loop renormalization of the Gross-Neveu model
• Coordinate space calculation of two- and three-loop sunrise-type diagrams, elliptic functions and truncated Bessel integral identities