Trimaximal mixing and extended magic symmetry in a model of neutrino mass matrix

Abstract

Abstract The trimaximal mixing scheme results in “magic” neutrino mass matrix which is known to accommodate neutrino oscillation data. In this paper, we propose a phenomenological ansatz for by extending the magic symmetry that leads to further reduction in the number of free parameters, thereby increasing the predictability of the model. The neutrino mixing parameters, effective Majorana mass m ee and CP invariants (J CP , I 1, I 2) are found to exhibit strong correlations for mixing paradigm. One of the generic feature of the model is the requirement of non-maximal for possible CP violation measurable in neutrino oscillation experiments. The observables m ee and sum of neutrino masses have imperative implications for yet unknown neutrino mass hierarchy. For inverted hierarchy, the lower bound on 0.02\ \text{eV}$ ?> , predicted by the model, is found to be within the sensitivity reach of the decay experiments. Also, cosmological bound of 0.12 eV on , at 95% CL, refutes inverted hierarchy implying with normal hierarchy as the only viable possibility in the model. We have, also, illustrated a scenario wherein such a construction of the neutrino mass matrix can be realized using symmetry in the framework of Type-I+II seesaw mechanism.