Lepton masses and mixings in a $T'$ flavoured 3-3-1 model with type I and II seesaw mechanisms

Abstract

We propose a renormalizable $T'$ flavor model based on the $SU(3)_C\times SU(3)_L\times U(1)_X\times U(1)_{\mathcal{L}}$ gauge symmetry, consistent with the observed pattern of lepton masses and mixings. The small masses of the light active neutrinos are produced from an interplay of type I and type II seesaw mechanisms, which are induced by three heavy right-handed Majorana neutrinos and three $SU(3)_L$ scalar antisextets, respectively. Our model is only viable for the scenario of normal neutrino mass hierarchy, where the obtained physical observables of the lepton sector are highly consistent with the current neutrino oscillation experimental data. In addition, our model also predicts an effective Majorana neutrino mass parameter of $m_{\beta} \sim 1.41541\times 10^{-2}$ eV, a Jarlskog invariant of the order of $J_{CP}\sim -0.032$ and a leptonic Dirac CP violating phase of $\de = 238^\circ$, which is inside the $1\sigma$ experimentally allowed range.