Spherical Contours, IR Divergences and the geometry of Feynman parameter integrands at one loop
High Energy Physics - Theory
2019-07-15 v1
Abstract
Spherical contours introduced in \cite{SphericalContours} translate the concept of "discontinuity across a branch cut" to Feynman parameter space. In this paper, we further explore spherical contours and connect them to the computation of leading IR divergences of 1 loop graphs directly in Feynman parameter space. These spherical contours can be used to develop a Feynman parameter space analog of "Leading Singularities" of loop integrands which allows us to develop a method of determining Feynman parameter integrands with no reference to the momentum space loop integrand. Finally, we explore some interesting features of Feynman parameter integrands in SYM.
Keywords
Cite
@article{arxiv.1907.05429,
title = {Spherical Contours, IR Divergences and the geometry of Feynman parameter integrands at one loop},
author = {Akshay Yelleshpur Srikant},
journal= {arXiv preprint arXiv:1907.05429},
year = {2019}
}