Fermion masses and mixings in the 3-3-1 model with right-handed neutrinos based on the $S_3$ flavor symmetry

Abstract

We propose a 3-3-1 model where the $SU(3{)}_C\otimes SU(3{)}_L\otimes U(1{)}_X$ symmetry is extended by $S_3\otimes Z_3\otimes Z_3^{\prime }\otimes Z_8\otimes Z_{16}$ and the scalar spectrum is enlarged by extra singlet scalar fields. The model successfully describes the observed SM fermion mass and mixing pattern. In this framework, the light active neutrino masses arise via an inverse seesaw mechanism and the observed charged fermion mass and quark mixing hierarchy is a consequence of the $Z_3\otimes Z_3^{\prime }\otimes Z_8\otimes Z_{16}$ symmetry breaking at very high energy. The obtained physical observables for both quark and lepton sectors are compatible with their experimental values. The model predicts the effective Majorana neutrino mass parameter of neutrinoless double beta decay to be $m_{\beta \beta }=$ 4 and 48 meV for the normal and the inverted neutrino spectra, respectively. Furthermore, we found a leptonic Dirac CP violating phase close to $\frac{\pi }{2}$ and a Jarlskog invariant close to about $3\times 10^{-2}$ for both normal and inverted neutrino mass hierarchy.

26 pages. Final version. To be published in European Physical Journal C

Cited by in corpus (7)

• A predictive $331$ model with $A_4$ flavour symmetry
• Lepton number violation in 331 models
• Quark mass and mixing in the 3-3-1 model with neutral leptons based on $D_4$ flavor symmetry
• Delta(54) flavor phenomenology and strings
• A neutrino mass model with S3 symmetry and see-saw interplay
• Fermion mass and mixing pattern in a minimal T7 flavor 331 model
• $\mathbf{SU}(3{)}_{\mathbf{C}}\otimes \mathbf{SU}(3{)}_{\mathbf{L}}\otimes \mathbf{U}(1{)}_{\mathbf{X}}$ models in view of the $750$ GeV diphoton signal