The four-loop DRED gauge beta-function and fermion mass anomalous dimension for general gauge groups

Abstract

We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transforming according to an arbitrary representation, calculated using the dimensional reduction scheme. In the special case of a supersymmetric theory we confirm previous calculations of both the gauge beta-function and the gaugino mass beta-function.

44 pages, added references (v2) minor changes (v3)

References in corpus (4)

• Supersymmetric Unification Without Low Energy Supersymmetry And Signatures for Fine-Tuning at the LHC
• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• Four-loop beta function and mass anomalous dimension in Dimensional Reduction
• Dimensional Reduction applied to QCD at three loops

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