Gauge dependence of the on-shell renormalized mixing matrices

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53 Citations (Scopus)

Abstract

It was recently pointed out that the on-shell renormalization of the Cabibbo-Kobayashi-Maskawa (CKM) matrix in the method by Denner and Sack causes a gauge parameter dependence of the amplitudes. We analyze the gauge dependence of the on-shell renormalization of the mixing matrices both for fermions and scalars in general cases, at the one-loop level. We then show that this gauge dependence can be avoided by fixing the counterterms for the mixing matrices in terms of the off-diagonal wave function corrections for fermions and scalars after a rearrangement, in a similar manner to the pinch technique for gauge bosons. We finally present explicit calculation of the gauge dependence for two cases: the CKM matrix in the standard model, and left-right mixing of scalar quarks in the minimal supersymmetric standard model.

Original languageEnglish
Article number036008
JournalPhysical Review D
Volume64
Issue number3
DOIs
Publication statusPublished - 2001

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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