Angular integrals in d dimensions
High Energy Physics - Phenomenology
2015-05-27 v2 Mathematical Physics
math.MP
Abstract
We discuss the evaluation of certain d dimensional angular integrals which arise in perturbative field theory calculations. We find that the angular integral with n denominators can be computed in terms of a certain special function, the so-called H-function of several variables. We also present several illustrative examples of the general result and briefly consider some applications.
Keywords
Cite
@article{arxiv.1101.3557,
title = {Angular integrals in d dimensions},
author = {Gabor Somogyi},
journal= {arXiv preprint arXiv:1101.3557},
year = {2015}
}
Comments
30 pages, discussion slightly extended by mentioning the existence of contiguous relations for H-functions, new references added