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Dimensional Reduction applied to QCD at three loops

R. Harlander, P. Kant, L. Mihaila, M. Steinhauser

hep-pharXiv:hep-ph/0607240

Abstract

Dimensional Reduction is applied to in order to compute various renormalization constants in the scheme at higher orders in perturbation theory. In particular, the β 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 ε-scalars and the additional couplings which have to be considered.

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