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

In this work we have investigated the phenomenological consequences of two-zero textures of inverse neutrino mass matrix (M${}_{\nu }^{-1}$) 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${}_{\nu }^{-1}$ 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${}_{\nu }^{-1}$ 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${}_{\nu }^{-1}$ are found to be either disallowed or are consistent with LMA description only. We have, also, obtained the implication of the model for 0νββ decay amplitude |M${}_{ee}$|. For most of the textures the calculated 3σ lower bound on |M${}_{ee}$| is $O$(10${}^{-2}$), which is within the sensitivity reach of 0νββ decay experiments. We have, also, proposed a flavor model based on discrete non-Abelian flavor group A${}_4$ wherein such textures of M${}_{\nu }^{-1}$ can be realized within Type-I seesaw setting.