Angular integrals in d dimensions

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.

Comments: 30 pages, discussion slightly extended by mentioning the existence of contiguous relations for H-functions, new references added