Trimaximal mixing with a texture zero

TL;DR

This paper studies neutrino mass matrices with one texture zero under TM1 and TM2 mixing schemes, showing their compatibility with current data and predicting key neutrino parameters.

Contribution

It demonstrates that all one texture zero neutrino mass matrices are compatible with data under TM1 or TM2 mixing and proposes a theoretical realization using A4 symmetry.

Findings

All six one texture zero matrices fit current oscillation data with TM1 or TM2.

Predictions for Majorana mass, CP phase, and neutrino mass scale.

Some textures can be realized via A4 symmetry in seesaw models.

Abstract

We analyze neutrino mass matrices having one texture zero, assuming that the neutrino mixing matrix has either its first (TM$_1$) or second (TM$_2$) column identical to that of the tribimaximal mixing matrix. We found that all the six possible one texture zero neutrino mass matrices are compatible with the present neutrino oscillation data when combined with TM$_1$ or TM$_2$ mixing. These textures have interesting predictions for the presently unknown parameters such as the effective Majorana neutrino mass, the Dirac CP violating phase and the neutrino mass scale. We also present a way to theoretically realize some of these textures using $A_4$ symmetry within the framework of type-I+II seesaw mechanism.