Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme

Abstract

In this work we revisit the zero textures in low energy Majorana neutrino mass matrix when the active neutrino sector is extended by a light sterile neutrino in the eV scale, i.e., the 3 + 1 scheme. In 3 + 1 scenario, the low energy neutrino mass matrix (m(v)) has ten independent elements. Thus in principle one can have minimum one-zero texture to maximum ten-zero texture. We summarize the previous results of one, two, three, and four-zero textures which already exist in the literature and present our new results on five-zero textures. In our analysis we find that among six possible five-zero textures, only one is allowed by the present data. We discuss possible theoretical model which can explain the origin of the allowed five-zero texture and discuss other possible implications of such a scenario. Our results also concludes that in 3 + 1 scheme, one cannot have more than five-zeros in m(v) © 2017 American Physical Society