Minimal Lepton Flavor Violation and Renormalization Group Evolution of Lepton Masses and Mixing

TL;DR

This paper develops a unified method to analyze the renormalization group evolution of neutrino parameters in minimal lepton flavor violation models, applicable to various seesaw models and including second-order effects, with implications for leptogenesis.

Contribution

It introduces a flavor spurion-based approach to RGEs in minimal lepton flavor violation, extending to second order and applying to SM and MSSM Type-I and Type-III seesaw models.

Findings

Derived RGEs for neutrino parameters in multiple models

Extended the method to second order RGEs

Discussed implications for leptogenesis

Abstract

We study the renormalization group equations (RGEs) of the neutrino parameters in models of Minimal Lepton Flavor Violation. In such models, the RGEs can be described in terms of flavor spurions, such that only the coefficients depend on the specific model. We explicitly demonstrate this method for the SM and MSSM for both Type-I and Type-III seesaw models. For that purpose, the RGEs of neutrino parameters in the MSSM Type-III seesaw have been computed. We have extended this method to get the evolution equations at second order. The implications for leptogenesis are also discussed.