On-shell renormalization of the mixing matrices in Majorana neutrino theories

TL;DR

This paper extends an on-shell renormalization method to the lepton sector with Majorana neutrinos, ensuring gauge independence and preserving neutrino mass matrix textures in the seesaw framework.

Contribution

It generalizes the on-shell renormalization approach to include Majorana neutrinos, maintaining gauge independence and texture zeros in the neutrino mass matrix.

Findings

Renormalized lepton mixing matrices are gauge independent.

The approach preserves neutrino mass matrix texture zeros.

Applicable to models with Dirac and Majorana neutrinos in the seesaw mechanism.

Abstract

We generalize a recently proposed on-shell approach to renormalize the Cabibbo-Kobayashi-Maskawa quark-mixing matrix to the case of an extended leptonic sector that includes Dirac and Majorana neutrinos in the framework of the seesaw mechanism. An important property of this formulation is the gauge independence of both the renormalized and bare lepton mixing matrices. Also, the texture zero in the neutrino mass matrix is preserved.