Renormalization of the Cabibbo-Kobayashi-Maskawa Matrix at One-Loop Level

Abstract

We have investigated the present renormalization prescriptions of the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix. Based on one prescription which is formulated by comparing with the fictitious case of no mixing of quark generations, we propose a new prescription which can make the physical amplitude involving quark's mixing gauge independent and ultraviolet finite. Compared with the previous prescriptions this prescription is very simple and suitable for actual calculations. Through analytical calculations we also give a strong Proof for the important hypothesis that in order to keep the CKM matrix gauge independent the unitarity of the CKM matrix must be preserved.

6 pages, 2 figures

References in corpus (2)

• Recent Developments in Precision Electroweak Physics
• A New Renormalization Scheme of Fermion Field in Standard Model

Cited by in corpus (6)

• Radiative Corrections in Precision Electroweak Physics: a Historical Perspective
• Simple On-Shell Renormalization Framework for the Cabibbo-Kobayashi-Maskawa Matrix
• Simple Approach to Renormalize the Cabibbo-Kobayashi-Maskawa Matrix
• Fermion flavor mixing in models with dynamical mass generation
• On-shell renormalization of the mixing matrices in Majorana neutrino theories
• Quark mixing renormalization effects in the determination of the CKM parameters |V_{ij}|