Four-loop beta function and mass anomalous dimension in Dimensional Reduction

Details Four-loop beta function and mass anomalous dimension in Dimensional Reduction Four-loop beta function and mass anomalous dimension in Dimensional Reduction

2006-10-17

arxiv.org/abs/hep-ph/0610206v2

JHEP0612:024,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, fixed typo in Eq. (18)

Scientific paper

10.1088/1126-6708/2006/12/024

Within the framework of QCD we compute renormalization constants for the strong coupling and the quark masses to four-loop order. We apply the DR-bar scheme and put special emphasis on the additional couplings which have to be taken into account. This concerns the epsilon-scalar--quark Yukawa coupling as well as the vertex containing four epsilon-scalars. For a supersymmetric Yang Mills theory, we find, in contrast to a previous claim, that the evanescent Yukawa coupling equals the strong coupling constant through three loops as required by supersymmetry.

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