The Texture One-Zero Neutrino Mass Matrix with Vanishing Trace

In the light of latest neutrino oscillation data, we have investigated the one-zero Majorana neutrino mass matrix M ν with zero sum condition of mass eigenvalues 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 ν is ruled out, if zero trace condition is imposed at 3 σ confidence level (CL). Numerical and some approximate analytical results are presented.