Abstract
We propose a viable model based on the SU(3)_Ctimes SU(3)_Ltimes U(1)_X gauge group, augmented by the U(1)_{L_g} global lepton number symmetry and the Delta (27) times Z_3times Z_{16} discrete group, capable of explaining the Standard Model (SM) fermion masses and mixings, and having a low scale seesaw mechanism which can be tested at the LHC. In addition the model provides an explanation for the SM fermion masses and mixings. In the proposed model, small masses for the light active neutrinos are generated by an inverse seesaw mechanism caused by non renormalizable Yukawa operators and mediated by three very light Majorana neutrinos and the observed hierarchy of the SM fermion masses and mixing angles is produced by the spontaneous breaking of the Delta (27) times Z_{3}times Z_{16} symmetry at very large energy scale. This neutrino mass generation mechanism is not presented in our previous 3-3-1 models with Delta (27) group (Vien et al. in Nucl Phys B 913:792, 2016, Cárcamo Hernández et al. in Eur Phys J C 76(5):242, 2016), where the masses of the light active neutrinos arise from a combination of type I and type II seesaw mechanisms (Vien et al. Nucl. Phys. B 913:792, 2016) as well as from a double seesaw mechanism (Hernández et al. in Eur Phys J C 76(5):242, 2016). Thus, this work corresponds to the first implementation of the Delta (27) symmetry in a 3-3-1 model with low scale seesaw mechanism.
Highlights
In traditional way, the particle masses are generated through Yukawa couplings, and the latter enter in the CKM/PMNS matrices
The Standard Model (SM) charged fermion masses and quark mixing angles are originated from the spontaneous breakdown of the (27) × Z3 × Z16 discrete symmetry and the masses for the light active neutrinos are produced by an inverse seesaw mechanism, which can be probed at the Large Hadron Collider (LHC) since the sterile neutrinos have masses at the TeV scale and can be produced via a Drell–Yan mechanism mediated by a Z gauge boson
The model considered in this work is based on the extended gauge symmetry SU (3)C × SU (3)L × U (1)X, which is supplemented by the U (1)Lg global lepton number symmetry and the (27) × Z3 × Z16 discrete group
Summary
The particle masses are generated through Yukawa couplings, and the latter enter in the CKM/PMNS matrices. The model is much more economical in terms of scalar fields, discrete symmetries and number of scales than all 3-3-1 models with discrete symmetries proposed in the literature [3] In this model, the SM charged fermion masses and quark mixing angles are originated from the spontaneous breakdown of the (27) × Z3 × Z16 discrete symmetry and the masses for the light active neutrinos are produced by an inverse seesaw mechanism, which can be probed at the LHC since the sterile neutrinos have masses at the TeV scale and can be produced via a Drell–Yan mechanism mediated by a Z gauge boson.
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