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In this work we have investigated the phenomenological consequences oftwo-zero textures of \textit{inverse} neutrino mass matrix ($M_{\nu}^{-1}$) inlight of the large mixing angle (LMA) and large mixing angle-\textit{dark}(LMA-D) solutions, later of which originates if neutrinos exhibit non-standardinteractions with matter. Out of fifteen possibilities, only seven two-zerotextures of $M_{\nu}^{-1}$ are found to be phenomenologically allowed under LMAand/or LMA-D descriptions. In particular, five textures are in consonance withboth LMA and LMA-D solutions and are necessarily $CP$ violating while remainingtwo textures are found to be consistent with LMA solution only. The textureswith 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 neutrinomass hierarchy. Furthermore, textures with vanishing (2, 3) element of$M_{\nu}^{-1}$ are found to be either disallowed or are consistent with LMAdescription only. We have, also, obtained the implication of the model for$0\nu\beta\beta$ decay amplitude $|M_{ee}|$. For most of the textures thecalculated $3\sigma$ lower bound on $|M_{ee}|$ is $\mathcal{O}(10^{-2})$, whichis within the sensitivity reach of $0\nu\beta\beta$ 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 seesawsetting.

Investigating Two-zero Textures of Inverse Neutrino Mass Matrix under the Lamp Post of LMA and LMA-D Solutions and Symmetry Realization