Simple rules for evanescent operators in one-loop basis transformations

Abstract

Basis transformations often involve Fierz and other relations that are only valid in D=4 dimensions. In general D spacetime dimensions, however, evanescent operators have to be introduced in order to preserve such identities. Such evanescent operators contribute to one-loop basis transformations as well as to two-loop renormalization group running. We present a simple procedure on how to systematically change basis at the one-loop level by obtaining shifts due to evanescent operators. As an example we apply this method to derive the o Show more