# Multi-loop techniques for massless Feynman diagram calculations

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.
Keywords :
Type de document :
Pré-publication, Document de travail
2018
Domaine :

https://hal.archives-ouvertes.fr/hal-01806948
Contributeur : Inspire Hep <>
Soumis le : lundi 4 juin 2018 - 11:51:40
Dernière modification le : lundi 13 août 2018 - 10:36:59

### Citation

A.V. Kotikov, S. Teber. Multi-loop techniques for massless Feynman diagram calculations. 2018. 〈hal-01806948〉

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