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arXiv · 1805.05109

Multi-loop techniques for massless Feynman diagram calculations

A. V. Kotikov·S. Teber
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Abstract

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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A. V. Kotikov, S. Teber. 2018-05-14. Multi-loop techniques for massless Feynman diagram calculations. https://doi.org/10.1134/s1063779619010039

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