Near Maximal Atmospheric Neutrino Mixing in Neutrino Mass Models with Two Texture Zeros

TL;DR

This paper explores how certain two texture zero neutrino mass matrices predict near maximal atmospheric neutrino mixing, independent of other mixing angles, and demonstrates their stability under renormalization group evolution.

Contribution

It introduces a class of two texture zero neutrino mass models predicting near maximal atmospheric mixing and shows their stability under renormalization group running.

Findings

Textures predict near maximal atmospheric mixing angle.

Predictions are independent of solar and reactor angles.

Texture zeros are stable under renormalization group evolution.

Abstract

The implications of a large value of the effective Majorana neutrino mass for a class of two texture zero neutrino mass matrices have been studied in the flavor basis. It is found that these textures predict near maximal atmospheric neutrino mixing angle in the limit of large effective Majorana neutrino mass. It is noted that this prediction is independent of the values of solar and reactor neutrino mixing angles. We present the symmetry realization of these textures using the discrete cyclic group $Z_3$. It is found that the texture zeros realised in this work remain stable under renormalization group running of the neutrino mass matrix from the seesaw scale to the electroweak scale, at one loop level.