Regularization Schemes and Higher Order Corrections

Details Regularization Schemes and Higher Order Corrections Regularization Schemes and Higher Order Corrections

2011-02-25

arxiv.org/abs/1102.5353v2

Phys.Rev.D83:114005,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

References added and typographical errors corrected

Scientific paper

10.1103/PhysRevD.83.114005

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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