A 3-3-1 model with right-handed neutrinos based on the Δ (27) family symmetry

We present the first multiscalar singlet extension of the original 3-3-1 model with right-handed neutrinos, based on the Delta (27) family symmetry, supplemented by the Z(4) circle times Z(8) circle times Z(14) flavor group, consistent with current low energy fermion flavor data. In the model under consideration, the light active neutrino masses are generated from a double seesaw mechanism and the observed pattern of charged fermion masses and quark mixing angles is caused by the breaking of the Delta (27) circle times Z(4) circle times Z(8) circle times Z(14) discrete group at very high energy. Our model has only 14 effective free parameters, which are fitted to reproduce the experimental values of the 18 physical observables in the quark and lepton sectors. The obtained physical observables for the quark sector agree with their experimental values, whereas those for the lepton sector also do, only for the inverted neutrino mass hierarchy. The normal neutrino mass hierarchy scenario of the model is disfavored by the neutrino oscillation experimental data. We find an effective Majorana neutrino mass parameter of neutrinoless double beta decay of m(beta beta) = 22 meV, a leptonic Dirac CP violating phase of 34 degrees, and a Jarlskog invariant of about 10(-2) for the inverted neutrino mass spectrum.