Simple Approach to Renormalize the Cabibbo-Kobayashi-Maskawa Matrix

Details Simple Approach to Renormalize the Cabibbo-Kobayashi-Maskawa Matrix Simple Approach to Renormalize the Cabibbo-Kobayashi-Maskawa Matrix

2006-08-29

arxiv.org/abs/hep-ph/0608306v2

Phys.Rev.Lett.97:221801,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 1 figure, minor changes in the text, new reference included, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.97.221801

We present an on-shell scheme to renormalize the Cabibbo-Kobayashi-Maskawa (CKM) matrix. It is based on a novel procedure to separate the external-leg mixing corrections into gauge-independent self-mass and gauge-dependent wave-function renormalization contributions, and to implement the on-shell renormalization of the former with non-diagonal mass counterterm matrices. Diagonalization of the complete mass matrix leads to an explicit CKM counterterm matrix, which automatically satisfies all the following important properties: it is gauge independent, preserves unitarity, and leads to renormalized amplitudes that are non-singular in the limit in which any two fermions become mass degenerate.

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