Renormalization Group Evolution in the type I + II seesaw model

TL;DR

This paper analyzes the renormalization group equations in the combined type I + II seesaw models within the SM and MSSM, providing analytic formulas and discussing the impact on mixing parameters, highlighting differences from effective field theory.

Contribution

It offers a detailed analysis of RG equations in combined seesaw models and derives new analytic formulas for mixing angles and phases.

Findings

RG equations depend on mass squared differences in hierarchical spectra

Analytic formulas for mixing angles and phases are provided

Distinct RG effects compared to effective field theory case

Abstract

We carefully analyze the renormalization group equations in the type I + II seesaw scenario in the extended standard model (SM) and minimal supersymmetric standard model (MSSM). Furthermore, we present analytic formulae of the mixing angles and phases and discuss the RG effect on the different mixing parameters in the type II seesaw scenario. The renormalization group equations of the angles have a contribution which is proportional to the mass squared difference for a hierarchical spectrum. This is in contrast to the inverse proportionality to the mass squared difference in the effective field theory case.