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

A. E. Cárcamo Hernández; R. Martinez; F. Ochoa

doi:10.1140/epjc/s10052-016-4480-3

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2016) 76: 634
https://doi.org/10.1140/epjc/s10052-016-4480-3

Regular Article - Theoretical Physics

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

A. E. Cárcamo Hernández¹^*, R. Martinez² and F. Ochoa²

¹ Universidad Técnica Federico Santa María, Casilla 110-V, Valparaiso, Chile
² Departamento de Física, Universidad Nacional de Colombia, Ciudad Universitaria, Bogotá, D.C., Colombia

^* e-mail: antonio.carcamo@usm.cl

Received: 25 February 2016
Accepted: 6 November 2016
Published online: 21 November 2016

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 ${SU}(3)_{L}$ 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.