Non-zero θ13 and CP-violation in inverse neutrino mass matrix

The generic predictions of inverse Majorana neutrino mass matrix, Mν−1 with texture two zeros, in the basis where charged lepton mass matrix is diagonal, have been obtained for neutrino masses and mixings, especially, θ13 and CP-violating phases. Such type of mass models is natural in the context of seesaw models with Dirac neutrino mass matrix, MD, diagonal. Out of the fifteen possible texture two zeros patterns of the inverse neutrino mass matrix only seven are found to be compatible with the available data on neutrino masses and mixings including the latest T2K observation of non-zero θ13. It is, also, found that θ13=0 is disallowed in the mass models investigated in the present work. While the neutrino mass matrices of type I and II are found to be necessarily CP-violating, type III is found to be CP-violating for a special case where θ23 lies above maximality. The atmospheric mixing angle θ23 is found to dictate the possible hierarchies in type I and II neutrino mass models. For type III, additional information regarding mee will be required to rule out the inverted hierarchy (IH). A maximal θ23 is found to be disallowed in all types of texture two zero Mν−1 Ansätze.