Abstract
We construct a viable 3-3-1 model with two SU(3)_L scalar triplets, extended fermion and scalar spectrum, based on the T^{prime } family symmetry and other auxiliary cyclic symmetries, whose spontaneous breaking yields the observed pattern of SM fermion mass spectrum and fermionic mixing parameters. In our model the SM quarks lighter than the top quark, get their masses from a low scale Universal seesaw mechanism, the SM charged lepton masses are produced by a Froggatt-Nielsen mechanism and the small light active neutrino masses are generated from an inverse seesaw mechanism. The model is consistent with the low energy SM fermion flavor data and successfully accommodates the current Higgs diphoton decay rate and predicts charged lepton flavor violating decays within the reach of the forthcoming experiments.
Highlights
The existence of three fermion families and the observed pattern of Standard Model (SM) fermion masses and mixing angles are not explained within the context of the SM
In this scenario, and taking into account that the scalar S3 is a T doublet charged under the Z12 symmetry as shown in Table 1, the observed CP violation in the quark sector will arise from the spontaneous breaking of the T × Z12 discrete group by the vacuum expectation value of the S3 scalar
We have constructed a viable 3-3-1 model with two SU [3]L scalar triplets, extended fermion and scalar spectrum, based on the T family symmetry and other auxiliary cyclic symmetries, whose spontaneous breaking produces the observed pattern of SM fermion masses and mixing angles
Summary
The existence of three fermion families and the observed pattern of Standard Model (SM) fermion masses and mixing angles are not explained within the context of the SM. The origin of the family structure of fermions, which is not addressed by the SM, can be explained in theories having an extended SU [3]C × SU [3]L × U [1]X gauge symmetry, called 3-3-1 models [7–53]. Note that the discrete group T [49,66–85] , together with the groups A4 [37,45,86–126], S4 [16,92,125,127–145,145–148] and [27] [48,149–174], is the smallest group containing an irreducible triplet representation that can accommodate the three fermion families of the Standard model (SM) These groups have attracted a lot of attention of the model building community since they successfully describe the observed SM fermion mass spectrum and mixing parameters. “Appendix B” includes a discussion of the scalar potential for a T scalar triplet and its minimization condition
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