Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases

TL;DR

This paper studies how neutrino mixing parameters evolve from high to low energies considering seesaw threshold effects and Majorana phases, revealing their significant impact on neutrino mixing angles in the SM and MSSM.

Contribution

It provides a comparative analysis of RGE evolution for various neutrino mixing scenarios including Majorana phases and seesaw effects, highlighting their influence on low-energy neutrino parameters.

Findings

Majorana phases significantly affect RGE running of mixing angles.

In the absence of Majorana phases, $ heta_{13}$ remains below 5 degrees at low energies.

In MSSM with tan$eta$=10 and Majorana phases, observed neutrino mixing parameters are achievable.

Abstract

We examine the renormalization group evolution (RGE) for different mixing scenarios in the presence of seesaw threshold effects from high energy scale (GUT) to the low electroweak (EW) scale in the Standard Model (SM) and Minimal Supersymmetric Standard Model (MSSM). We consider four mixing scenarios namely Tri-Bimaximal Mixing, Bimaximal Mixing, Hexagonal Mixing and Golden Ratio Mixing which come from different flavor symmetries at the GUT scale. We find that the Majorana phases play an important role in the RGE running of these mixing patterns along with the seesaw threshold corrections. We present a comparative study of the RGE of all these mixing scenarios both with and without Majorana CP phases when seesaw threshold corrections are taken into consideration. We find that in the absence of these Majorana phases both the RGE running and seesaw effects may lead to $\theta_{13}<$ 5$^\circ$ at low energies both in the SM and MSSM. However, if the Majorana phases are incorporated to the mixing matrix the running can be enhanced both in the SM and MSSM. Even by incorporating non zero Majorana CP phases in the SM, we do not get $\theta_{13}$ in its present 3$\sigma$ range. The current values of the two mass squared differences and mixing angles including $\theta_{13}$ can be produced in the MSSM case with tan$\beta$ = 10 and non zero Majorana CP phases at low energy. We also calculate the order of effective Majorana mass and Jarlskog Invariant for each scenario under consideration.