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arXiv · 1001.4625

The 3-3-1 model with A_4 flavor symmetry

P. V. Dong·L. T. Hue·H. N. Long·D. V. Soa
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Abstract

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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P. V. Dong, L. T. Hue, H. N. Long, D. V. Soa. 2010-01-26. The 3-3-1 model with A_4 flavor symmetry. https://doi.org/10.1103/physrevd.81.053004

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