Note on Closed-Form Expressions for Irreducible Loop Integrals
High Energy Physics - Theory
2016-08-19 v1 Classical Analysis and ODEs
Probability
Abstract
We provide a new analysis of the irreducible loop integrals first considered in a 2003 paper of Wu. Using convergence ideas from probability, we produce conditions on the regulator masses so that the integrals have well-defined limits in the limit required by the regularisation technique; we then derive closed-form expressions for the regularised forms of these integrals in terms of incomplete Gamma-functions.
Cite
@article{arxiv.1608.05311,
title = {Note on Closed-Form Expressions for Irreducible Loop Integrals},
author = {Richard Chapling},
journal= {arXiv preprint arXiv:1608.05311},
year = {2016}
}
Comments
10 pages