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The implications of a large value of the effective Majorana neutrino mass fora class of two texture zero neutrino mass matrices have been studied in theflavor basis. It is found that these textures predict near maximal atmosphericneutrino mixing angle in the limit of large effective Majorana neutrino mass.It is noted that this prediction is independent of the values of solar andreactor neutrino mixing angles. We present the symmetry realization of thesetextures using the discrete cyclic group $Z_3$. It is found that the texturezeros realised in this work remain stable under renormalization group runningof the neutrino mass matrix from the seesaw scale to the electroweak scale, atone loop level.

Near Maximal Atmospheric Neutrino Mixing in Neutrino Mass Models with Two Texture Zeros