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arxiv: hep-ph/9811470 · v2 · submitted 1998-11-25 · ✦ hep-ph · hep-th

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Fermion Mixing Renormalization and Gauge Invariance

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classification ✦ hep-ph hep-th
keywords gaugerenormalizationfermioninvariancemixingamplitudescalculationsconditions
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Renormalization of mixing angles and computation of the hadronic $W$ decay widths

    hep-ph 2025-12 unverdicted novelty 6.0

    A basis-choice variant of the on-shell renormalization scheme eliminates mixing-matrix counterterms and is used to compute consistent 1-loop hadronic W decay widths in the SM.