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.

In the framework of anomaly free [Formula: see text] model, singlet scalar field with nonzero [Formula: see text] charge gives rise to massive gauge boson [Formula: see text] through spontaneous symmetry breaking. [Formula: see text] leads to one loop contribution to the muon anomalous magnetic moment. These scalar fields may, also, appear in the structure of right-handed neutrino mass matrix, thus, connecting the possible explanation of muon [Formula: see text] and low-energy neutrino phenomenology through vevs associated with the scalar fields. In this work, we consider textures of inverse neutrino mass matrix [Formula: see text] wherein any two elements of the mass matrix are zero. In this ansatz, with Dirac neutrino mass matrix diagonal, the zero(s) of right-handed Majorana neutrino mass matrix correspond to zero(s) in the low-energy effective neutrino mass matrix (within Type-I seesaw). We have realized two such textures of [Formula: see text] accommodating the muon [Formula: see text] and low-energy neutrino phenomenology. The requirement of successful explanation of muon [Formula: see text], further, constrains the allowed parameter space of the model and results in sharp correlations amongst neutrino mixing angles and CP invariants. The model explains muon [Formula: see text] for [Formula: see text] in the range (0.035–0.100 GeV) and [Formula: see text] which is found to be consistent with constraints coming from the current experiments CCFR, COHERENT, BABAR while being within sensitivities of future experiments such as NA62 and NA64.