Study of Texture Zeros of $$M_{\nu }^{4\times 4}$$ in Minimal Extended Seesaw Mechanism

Abstract

In this chapter, we study the phenomenology of zero textures of \(M_{\nu }^{4\times 4}\) in the context of Minimal Extended Seesaw (MES) mechanism which is an extended version of type-I seesaw mechanism with an additional singlet ‘S’. MES deals with \(3\times 3\) form of Dirac neutrino mass matrix \(M_{D}\) and right-handed Majorana neutrino mass matrix \(M_{R}\) along with \(1\times 3\) form of \(M_{S}\) which couples the right-handed neutrinos and the sterile singlet ‘S’. In this work, we realize the two-zero textures of \(M_{\nu }^{4\times 4}\) considering MES mechanism and (\(4+4\)) scheme, that is, 4 zeros in \(M_{D}\) and 4 zeros in \(M_{R}\). Realization of the textures lead to certain constraint correlations which are then examined within \(1\sigma \) range of neutrino oscillation data. We consider \(1\sigma \) range for Dirac CP phase \(\delta _{13}\) while all the other five CP phases are kept unconstrained. We present scatter plots as a viability check for the textures.