Simple Approach to Renormalize the Cabibbo-Kobayashi-Maskawa Matrix
arXiv:hep-ph/0608306 · doi:10.1103/PhysRevLett.97.221801
Abstract
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.
arXiv comment9 pages, 1 figure, minor changes in the text, new reference included, to appear in Phys. Rev. Lett
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- Renormalization in general theories with inter-generation mixing
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