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arxiv: 1102.5353 · v2 · pith:GF76W57Znew · submitted 2011-02-25 · ✦ hep-ph

Regularization Schemes and Higher Order Corrections

classification ✦ hep-ph
keywords regularizationdimensionalorderschemeschemesfindhigherresults
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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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