One-Zero Textures of Inverse Neutrino Mass Matrix with TM1 Variant of Trimaximal Mixing

Trimaximal mixing pattern (TM₁) of the neutrino mixing matrix is consistent with current neutrino oscillation data. In this work, we have investigated the phenomenology of inverse neutrino mass matrix (\(m_{\nu }^{{ - 1}}\)) with one-zero textures considering neutrino mixing matrix to be of TM₁ type. There are six possible patterns of \(m_{\nu }^{{ - 1}}\) with one-zero. We have obtained the predictions for the least known neutrino sector parameters such as octant of atmospheric mixing angle, \({{\theta }_{{23}}}\), Dirac-type CP violating phase, δ, and effective Majorana neutrino mass, \({{m}_{{ee}}}\). One of the generic feature of this class of model is the existence of necessary CP violation, i.e., Dirac CP phase δ is non-zero. For maximal value of \({{\theta }_{{23}}} = 45^\circ \), the model predicts maximal CP violation. The \(0\nu \beta \beta \) decay experiments have imperative consequences for viability of one-zero texture in \(m_{\nu }^{{ - 1}}\). It will either refute a model completely or have distinguishing implications for neutrino mass ordering in a model. We have also proposed two possible scenarios in which such phenomenological conjecture may be realized using non-Abelian discrete flavor symmetry group \({{A}_{4}}\) and cyclic group \({{Z}_{3}}\).