Note on CKM Matrix Renormalization

Abstract

A simple inspection of the one loop quark self-energy suggests a prescription of the CKM matrix renormalization in the standard model. It leads to a CKM matrix counterterm which is gauge parameter independent and satisfies the unitarity constraint, and renormalized physical amplitudes which are gauge parameter independent and smooth in quark mass difference. We make a point that caution should be practiced when interpreting the CKM martix counterterm in terms of those of parameters in a given representation due to rephasing effects from renormalization. We show how this can be done using the degrees of freedom in the on-shell renormalization scheme.

version 1: 10 pages, no figures; version 2: proofread version for Phys Rev D with minor revisions: (1) divided into 3 sections; (2) added a footnote Comment on Ref. [8] as Ref. item [13]; (3) typos fixed and minor rewording

References in corpus (1)

• A New Renormalization Scheme of Fermion Field in Standard Model

Cited by in corpus (7)

• Radiative Corrections in Precision Electroweak Physics: a Historical Perspective
• Simple On-Shell Renormalization Framework for the Cabibbo-Kobayashi-Maskawa Matrix
• Physical renormalization condition for the quark-mixing matrix
• Simple Approach to Renormalize the Cabibbo-Kobayashi-Maskawa Matrix
• On-shell renormalization of the mixing matrices in Majorana neutrino theories
• Quark mixing renormalization effects in the determination of the CKM parameters |V_{ij}|
• One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme