Regularization Schemes and Higher Order Corrections
High Energy Physics - Phenomenology
2011-10-05 v2
Abstract
I apply commonly used regularization schemes to a multi-loop calculation to examine the properties of the schemes at higher orders. I find complete consistency between the conventional dimensional regularization scheme and dimensional reduction, but I find that the four dimensional helicity scheme produces incorrect results at next-to-next-to-leading order and singular results at next-to-next-to-next-to-leading order. It is not, therefore, a unitary regularization scheme.
Cite
@article{arxiv.1102.5353,
title = {Regularization Schemes and Higher Order Corrections},
author = {William B. Kilgore},
journal= {arXiv preprint arXiv:1102.5353},
year = {2011}
}
Comments
References added and typographical errors corrected