A simple dirac prescription for two-loop anomalous dimension matrices

Abstract

AbstractA novel method to treat effects from evanescent operators in next-to-leading order (NLO) computations is introduced. The approach allows, besides further simplifications, to discard evanescent-to-physical mixing contributions in NLO calculations. The method is independent of the treatments of $$\gamma _5$$ γ 5 and can therefore be combined with different renormalization schemes. We illustrate the utility of this result by reproducing literature results of two-loop anomalous dimension matrices for both $$|\Delta F| = 1$$ | Δ F | = 1 and $$|\Delta F| = 2$$ | Δ F | = 2 transitions.