Gauge and scheme dependence of mixing matrix renormalization

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    We reexamine the issue of mixing matrix renormalization in theories that include Dirac or Majorana fermions. We show how a gauge-variant on-shell renormalized mixing matrix can be related to a manifestly gauge-independent one within a generalized MS scheme of renormalization. This scheme-dependent relation is a consequence of the fact that in any scheme of renormalization, the gauge-dependent part of the mixing-matrix counterterm is ultraviolet safe and has a pure dispersive form. Employing the unitarity properties of the theory, we can successfully utilize the aforementioned scheme-dependent relation to preserve basic global or local symmetries of the bare Lagrangian through the entire process of renormalization. As an immediate application of our study, we derive the gauge-independent renormalization-group equations of mixing matrices in a minimal extension of the standard model with isosinglet neutrinos. © 2002 The American Physical Society.
    Original languageEnglish
    Article number115013
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Issue number11
    Publication statusPublished - 2002


    • Quark model (CKM matrix in); Gauge theory; Standard model (gauge and scheme dependence of mixing matrix renormalization)


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