Tribimaximal mixing in neutrino mass matrices with texture zeros or vanishing minors

TL;DR

This paper investigates specific texture zeros and vanishing minors in neutrino mass matrices with $$ symmetry, identifying five viable structures that lead to precise predictions for neutrino properties under tribimaximal mixing.

Contribution

It demonstrates how texture zeros and vanishing minors propagate through the seesaw mechanism in $$ symmetric models, reducing free parameters and making testable predictions.

Findings

Five phenomenologically viable neutrino mass matrix structures identified.

Reduced free parameters to one under tribimaximal mixing.

Predictions made for $M_{ee}$, neutrino mass scale, and CP phases.

Abstract

We study the existence of one/two texture zeros or one/two vanishing minors in the neutrino mass matrix with $\mu\tau$ symmetry. In the basis where the charged lepton mass matrix and the Dirac neutrino mass matrix are diagonal, the one/two zeros or one/two vanishing minors in the right-handed Majorana mass matrix having $\mu\tau$ symmetry will propagate via seesaw mechanism as one/two vanishing minors or one/two texture zeros in the neutrino mass matrix with $\mu\tau$ symmetry respectively. It is found that only five such texture structures of the neutrino mass matrix are phenomenologically viable. For tribimaximal mixing, these texture structures reduce the number of free parameters to one. Interesting predictions are obtained for the effective Majorana mass $M_{ee}$, the absolute mass scale and the Majorana-type CP violating phases.