Renormalization Group Evolution in the type I + II seesaw model

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.

Comments: 14 pages, 5 figures; v4: added contribution from missing box diagram with charged leptons to Eqs. (14f,14g) and corrected sign mistakes in (14h). This led to corrections to Eqs. (17,18,B5d,B5e) and third row of Tab. II