Simple rules for evanescent operators in one-loop basis transformations

Jason Aebischer, Andrzej J. Buras, Jacky Kumar

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 one-loop basis transformation from the Buras, Misiak and Urban basis useful for next-to-leading order QCD calculations, to the Jenkins, Manohar and Stoffer basis used in the matching to the standard model effective theory.

Original languageEnglish
Article number075007
JournalPhysical Review D
Issue number7
StatePublished - 1 Apr 2023


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