TL;DR
This paper introduces a method to evaluate complex d-dimensional angular integrals in perturbative field theory using the H-function, providing explicit examples and discussing potential applications.
Contribution
It presents a novel approach to compute d-dimensional angular integrals with multiple denominators using the H-function, expanding analytical tools in field theory calculations.
Findings
Angular integrals with n denominators can be expressed via the H-function.
Explicit examples demonstrate the method's applicability.
Potential applications in perturbative calculations are discussed.
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.
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