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arXiv · 1102.5353

Regularization Schemes and Higher Order Corrections

William B. Kilgore
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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.

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William B. Kilgore. 2011-10-03. Regularization Schemes and Higher Order Corrections. https://doi.org/10.1103/physrevd.83.114005

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