Textures with two traceless submatrices of the neutrino mass matrix

TL;DR

This paper introduces a new neutrino mass matrix texture with two traceless submatrices, which can effectively explain current neutrino data and offers a novel approach to neutrino mass modeling.

Contribution

It proposes a unique texture for the neutrino mass matrix based on zero-trace conditions on submatrices, expanding the set of viable models consistent with experimental data.

Findings

8 out of 15 cases compatible with data

Numerical results support the viability of the texture

Analytical approximations elucidate the structure

Abstract

We propose a new texture for the light neutrino mass matrix. The proposal is based upon imposing zero-trace condition on the two by two sub-matrices of the complex symmetric Majorana mass matrix in the flavor basis where the charged lepton mass matrix is diagonal. Restricting the mass matrix to have two traceless sub-matrices may be found sufficient to describe the current data. Eight out of fifteen independent possible cases are found to be compatible with current data. Numerical and some approximate analytical results are presented.