Multi-loop techniques for massless Feynman diagram calculations
High Energy Physics - Theory
2019-05-21 v2 Statistical Mechanics
High Energy Physics - Phenomenology
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 -loop diagram calculations are also provided.
Cite
@article{arxiv.1805.05109,
title = {Multi-loop techniques for massless Feynman diagram calculations},
author = {A. V. Kotikov and S. Teber},
journal= {arXiv preprint arXiv:1805.05109},
year = {2019}
}
Comments
Review article. LaTeX file with feynMF package. (v2) references added and minor typos corrected. 65 pages, 8 figures. (v1) 64 pages, 8 figures