Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running

TL;DR

This paper investigates how charged lepton corrections and renormalization group effects influence the low energy predictions of GUT-inspired see-saw models with tri-bimaximal neutrino mixing, finding RG effects are generally small.

Contribution

It provides a numerical analysis of RG corrections to neutrino mixing sum rules in GUT models, assessing their impact on experimental predictions.

Findings

RG corrections are typically less than one degree for hierarchical neutrinos

Charged lepton corrections follow Cabibbo-like patterns

Sum rules remain reliable at low energies

Abstract

We analyze the effects of charged lepton corrections and renormalization group (RG) running on the low energy predictions of theories which accurately predict tri-bimaximal neutrino mixing at the high energy scale. In particular we focus on GUT inspired see-saw models with accurate tri-bimaximal neutrino mixing at the GUT scale, in which the charged lepton corrections are Cabibbo-like and give rise to sum rules valid at the GUT scale. We study numerically the RG corrections to a variety of such neutrino mixing sum rules in order to assess their accuracy and reliability when comparing them to future low energy neutrino oscillation experiments. Our results indicate that the RG corrections to neutrino mixing sum rules are typically small (less than one degree), at least in the examples studied with hierarchical neutrinos.