Fermion Mixing Renormalization and Gauge Invariance

Details Fermion Mixing Renormalization and Gauge Invariance Fermion Mixing Renormalization and Gauge Invariance

1998-11-25

arxiv.org/abs/hep-ph/9811470v2

Phys.Lett. B454 (1999) 98-104

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTex; Revised version accepted for publication in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(99)00321-4

We study the renormalization of the fermion mixing matrix in the Standard Model and derive the constraints that must be satisfied to respect gauge invariance to all orders. We demonstrate that the prescription based on the {\it on-shell} renormalization conditions is not consistent with the Ward-Takahashi Identities and leads to gauge dependent physical amplitudes. A simple scheme is proposed that satisfies all theoretical requirements and is very convenient for practical calculations.

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