Investigating two-zero textures of inverse neutrino mass matrix under the lamp post of LMA and LMA-D solutions and symmetry realization

Abstract

In this work we have investigated the phenomenological consequences of two-zero textures of inverse neutrino mass matrix ($$M_{\nu }^{-1}$$ M ν - 1 ) in light of the large mixing angle (LMA) and large mixing angle-dark (LMA-D) solutions, later of which originates if neutrinos exhibit non-standard interactions with matter. Out of fifteen possibilities, only seven two-zero textures of $$M_{\nu }^{-1}$$ M ν - 1 are found to be phenomenologically allowed under LMA and/or LMA-D descriptions. In particular, five textures are in consonance with both LMA and LMA-D solutions and are necessarily CP violating while remaining two textures are found to be consistent with LMA solution only. The textures with vanishing (1, 1) element of $$M_{\nu }^{-1}$$ M ν - 1 are, in general, disallowed. All the textures allowed under LMA and LMA-D solutions follow the same neutrino mass hierarchy. Furthermore, textures with vanishing (2, 3) element of $$M_{\nu }^{-1}$$ M ν - 1 are found to be either disallowed or are consistent with LMA description only. We have, also, obtained the implication of the model for $$0\nu \beta \beta $$ 0 ν β β decay amplitude $$|M_{ee}|$$ | M ee | . For most of the textures the calculated $$3\sigma $$ 3 σ lower bound on $$|M_{ee}|$$ | M ee | is $$\mathcal {O}(10^{-2})$$ O ( 10 - 2 ) , which is within the sensitivity reach of $$0\nu \beta \beta $$ 0 ν β β decay experiments. We have, also, proposed a flavor model based on discrete non-Abelian flavor group $$A_4$$ A 4 wherein such textures of $$M_{\nu }^{-1}$$ M ν - 1 can be realized within Type-I seesaw setting.