For the beta=-sqrt(3) 331 model, electroweak precision data allow v3 between roughly 1.5 and 2.3 TeV and can reproduce the CDF W mass shift for v3 in 1.8-2.3 TeV, provided collider bounds on new gauge bosons are model-dependently relaxed.
The 3-3-1 model with A_4 flavor symmetry
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We argue that the A_4 symmetry as required by three flavors of fermions may well-embed in the SU(3)_C X SU(3)_L X U(1)_X gauge model. The new neutral fermion singlets as introduced in a canonical seesaw mechanism can be combined with the standard model lepton doublets to perform SU(3)_L triplets. Various leptoscalar multiplets such as singlets, doublets, and triplets as played in the models of A_4 are unified in single SU(3)_L antisextets. As a result, naturally light neutrinos with various kinds of mass hierarchies are obtained as a combination of type I and type II seesaw contributions. The observed neutrino mixing pattern in terms of the Harrison-Perkins-Scott proposal is obtained by enforcing of the A_4 group. The quark masses and Cabibbo-Kobayashi-Maskawa mixing matrix are also discussed. By virtue of very heavy antisextets the nature of the vacuum alignments of scalar fields can be given.
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Radiative corrections to the $\rm S, T, U$ parameters and their impact on the $W$ boson mass in the 331 model
For the beta=-sqrt(3) 331 model, electroweak precision data allow v3 between roughly 1.5 and 2.3 TeV and can reproduce the CDF W mass shift for v3 in 1.8-2.3 TeV, provided collider bounds on new gauge bosons are model-dependently relaxed.