Gauge and Scheme Dependence of Mixing Matrix Renormalization

Details Gauge and Scheme Dependence of Mixing Matrix Renormalization Gauge and Scheme Dependence of Mixing Matrix Renormalization

2002-03-21

arxiv.org/abs/hep-ph/0203210v1

Phys.Rev. D65 (2002) 115013

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, LaTeX, uses axodraw.sty

Scientific paper

10.1103/PhysRevD.65.115013

We revisit 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 ${\bar {\rm MS}}$ 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 ultra-violet safe and has a pure dispersive form. Employing the unitarity properties of the theory, we can successfully utilize the afore-mentioned 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.

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