SU(3)_{c} X SU(3)_{L} X U(1)_{X} models for βarbitrary and families with mirror fermions

Abstract

A detailed and general study of the fermionic structure of the 331 models with βarbitrary is carried out based on the criterion of cancellation of anomalies. We consider models with an arbitrary number of lepton and quark generations, but requiring to associate only one lepton and one quark SU(3) _{L} multiplet for each generation, and at most one right-handed singlet per each left-handed fermion. We see that the number of quark left-handed multiplets must be three times the number of leptonic left-handed multiplets. Furthermore, we consider a model with four families and β=-1/\sqrt{3} where the additional family corresponds to a mirror fermion of the third generation of the Standard Model. We also show how to generate ansatzs about the mass matrices of the fermions according to the phenomenology. In particular, it is possible to get a natural fit for the neutrino hierarchical masses and mixing angles. Moreover, by means of the mixing between the third quark family and its mirror fermion, a possible solution for the A_{FB}^{b} discrepancy is obtained.

32 pages, 15 tables, LaTeX2e. A new section added, introduction and conclusions extended. Version to appear in Phys. Rev. D

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• Concerning the Landau Pole in 3-3-1 Models
• Static quantities of a neutral bilepton in the 331 model with right-handed neutrinos
• Bilepton and exotic quark mass limits in 331 models from Z -> b anti-b decay

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