On the textures of neutrino mass matrix for maximal atmospheric mixing angle and Dirac CP phase

TL;DR

This paper identifies eleven possible neutrino mass matrix textures that can produce maximal atmospheric mixing and Dirac CP phase, consistent with current data, including a texture derived from $$-reflection symmetry.

Contribution

The paper introduces a novel approach to derive neutrino mass matrix textures leading to specific mixing angles and phases, including a previously known symmetry-based texture.

Findings

Eleven viable neutrino mass matrix textures identified.

The $$-reflection symmetry texture is among the derived textures.

Neutrino mass sum rules relating masses and Majorana phases are established.

Abstract

In this paper, we derive in a novel approach the possible textures of neutrino mass matrix that can lead us to maximal atmospheric mixing angle and Dirac CP phase which are consistent with the current neutrino oscillation data. A total of eleven textures are thus found. Interestingly, the specific texture given by the $\mu$-$\tau$ reflection symmetry can be reproduced from one of the obtained textures. For these textures, some neutrino mass sum rules which relate the neutrino masses and Majorana CP phases will emerge.