The Texture One Zero Neutrino Mass Matrix With Vanishing Trace

TL;DR

This paper explores a specific neutrino mass matrix with one zero element and a zero sum of eigenvalues, analyzing its compatibility with recent experimental data and identifying viable cases.

Contribution

It investigates the one-zero Majorana neutrino mass matrix with a zero trace condition, ruling out certain configurations based on current neutrino oscillation data.

Findings

Five out of six one-zero cases are compatible with data.

The (1,1) zero element case is incompatible under the zero trace condition.

Numerical and analytical results support the viability of specific mass matrix textures.

Abstract

In the light of latest neutrino oscillation data, we have investigated the one zero Majorana neutrino mass matrix $M_{\nu}$ with zero sum condition of mass eigen values in the flavor basis, where charged lepton mass matrix is diagonal. Among the six possible one-zero cases, it is found that only five can survive the current experimental data, while case with (1, 1) vanishing element of $M_{\nu}$ is ruled out, if zero trace condition is imposed at 3$\sigma$ confidence level (CL). Numerical and some approximate analytical results are presented.