Note on CKM Matrix Renormalization

Details Note on CKM Matrix Renormalization Note on CKM Matrix Renormalization

2003-09-03

arxiv.org/abs/hep-ph/0309034v2

Phys.Rev. D69 (2004) 016001

Physics

High Energy Physics

High Energy Physics - Phenomenology

version 1: 10 pages, no figures; version 2: proofread version for Phys Rev D with minor revisions: (1) divided into 3 sections

Scientific paper

10.1103/PhysRevD.69.016001

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.

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