An $S_4$ model inspired from self-complementary neutrino mixing

We build anS4 model for neutrino masses and mixing based on the self-complementary (SC) neutrino mixing pattern. The SC mixing is constructed from the self-complementarity relation and a maximal CP violation ansatz (with a minus sign), and is realized perturbatively in this model. The model gives predictions on the observables that are compatible with their 3 range, and gives predictions for the not-yet observed quantities like the lightest neutrino mass m12 [0:003; 0:006] eV and the Dirac CP violating phase 2 [256:05 ; 283:69 ].