# 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.

## Key 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.