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arxiv: 1805.05109 · v2 · pith:GCWWW4CHnew · submitted 2018-05-14 · ✦ hep-th · cond-mat.stat-mech· hep-ph

Multi-loop techniques for massless Feynman diagram calculations

classification ✦ hep-th cond-mat.stat-mechhep-ph
keywords diagramcalculationsmasslessfeynmanloopmulti-looptechniquesanalytical
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We review several multi-loop techniques for analytical massless Feynman diagram calculations in relativistic quantum field theories: integration by parts, the method of uniqueness, functional equations and the Gegenbauer polynomial technique. A brief, historically oriented, overview of some of the results obtained over the decades for the massless 2-loop propagator-type diagram is given. Concrete examples of up to $5$-loop diagram calculations are also provided.

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