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Regularization Schemes and Higher Order Corrections

By William B. Kilgore

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.Comment: References added and typographical errors correcte

Topics: High Energy Physics - Phenomenology
Year: 2011
DOI identifier: 10.1103/PhysRevD.83.114005
OAI identifier: oai:arXiv.org:1102.5353
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