A combination of the neutrino trimaximal mixings and mu-tau reflection symmetry in the type-I seesaw model

TL;DR

This paper explores a highly predictive neutrino mass model combining trimaximal mixing and mu-tau reflection symmetry within the type-I seesaw framework, deriving parameter relations and implications for leptogenesis.

Contribution

It introduces a restrictive model with only five parameters, predicts most lepton mixing angles, and examines its reduction to a minimal seesaw and compatibility with texture zeros.

Findings

Predicted relations between model parameters and neutrino observables.

Implications for leptogenesis within the proposed framework.

Compatibility analysis with texture zeros.

Abstract

In this paper, we make an attempt to combine the neutrino trimaximal (TM1 and TM2) mixings and $\mu$-$\tau$ reflection symmetry in the type-I seesaw model. Such a scenario is highly restrictive and predictive: in addition to three right-handed neutrino masses, there are only five real parameters; all the lepton flavor mixing parameters except for $\theta^{}_{13}$ will be predicted. The relations between the model parameters and the measurable neutrino parameters will be derived. The implications of this scenario for leptogenesis will be explored in detail. A further reduction of this scenario to the more restrictive and predictive minimal seesaw model with only two right-handed neutrinos will also be considered. In addition, we will also discuss a possible approach to get the desired mass matrices and study the compatibility of the trimaximal $\mu$-$\tau$ reflection symmetry with texture zeros.