Dimensional Reduction applied to QCD at three loops

Details Dimensional Reduction applied to QCD at three loops Dimensional Reduction applied to QCD at three loops

2006-07-21

arxiv.org/abs/hep-ph/0607240v2

JHEP0609:053,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, minor changes, references added

Scientific paper

10.1088/1126-6708/2006/09/053

Dimensional Reduction is applied to \qcd{} in order to compute various renormalization constants in the \drbar{} scheme at higher orders in perturbation theory. In particular, the $\beta$ function and the anomalous dimension of the quark masses are derived to three-loop order. Special emphasis is put on the proper treatment of the so-called $\epsilon$-scalars and the additional couplings which have to be considered.

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