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 $${{Z}_{3}}$$ .