A new texture of neutrino mass matrix with three constraints

We present a new texture of neutrino mass matrix having three complex relations among its elements and study in detail the phenomenological implications. A characteristic feature of the resulting neutrino mass matrix is that the atmospheric neutrino mixing angle is predicted to lie in a very narrow region near 45∘. We illustrate how such a form of the neutrino mass matrix can be realized using the non-Abelian flavor symmetry A4 in the framework of type-I+II seesaw mechanism.