Neutrino mixing from a fresh perspective

Abstract

We propose a neutrino mass matrix texture bearing a suitable correlation $m_{22}=-2m_{13}$ and study its phenomenological implications. In light of both normal and inverted hierarchies, the texture imposes specific bounds on some observational parameters. As a potential application, the prediction of effective Majorana neutrino mass $m_{\beta \beta }$ is visualized for both hierarchies. To understand the proposed texture from first principle, we incorporate type-I+II seesaw mechanism in association with $A_4\times Z_{10}\times Z_2$ group.