2007
DOI: 10.1103/physrevd.75.073010
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Neutrino mixing matrix in the 3-3-1 model with heavy leptons andA4symmetry

Abstract: We study the lepton sector in the model based on the local gauge group SU (3)c ⊗SU (3)L ⊗U (1)X which do not contain particles with exotic electric charges. The seesaw mechanism and discrete A4 symmetry are introduced into the model to understand why neutrinos are especially light and the observed pattern of neutrino mixing. The model provides a method for obtaining the tri-bimaximal mixing matrix in the leading order. A non-zero mixing angle Ve3 presents in the modified mixing matrix.

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Cited by 44 publications
(10 citation statements)
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“…In trying to recover the tribimaximal form in present work, by analysis a possibility close to the typical versions is when we replace the right-handed neutrinos by new standard model fermion singlets (N R ) with vanishing leptonnumber [12]. The resulting model is near that of our previous work in [5]. The neutrinos thus gain masses from only contributions of SU(3) L scalar antisextets.…”
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confidence: 75%
See 1 more Smart Citation
“…In trying to recover the tribimaximal form in present work, by analysis a possibility close to the typical versions is when we replace the right-handed neutrinos by new standard model fermion singlets (N R ) with vanishing leptonnumber [12]. The resulting model is near that of our previous work in [5]. The neutrinos thus gain masses from only contributions of SU(3) L scalar antisextets.…”
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confidence: 75%
“…A fascinating way seems to be the use of some discrete non-Abelian groups [3] as family symmetries added to the standard model gauge group. There is a series of models based on the group A 4 [4,5], T ′ [6], and more recently S 4 [7,8]-the group of permutations of four objects, which is also the symmetry group of the cube.…”
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confidence: 99%
“…The model in [26] also considers the symmetry A 4 , but with a different particle content. −1, 3), where E iL,R are negatively charged heavy leptons, and although the inclusion of right-handed neutral Weyl states N iR is optional, they are used for the realization of tree-level canonical seesaw mechanism.…”
Section: Four Higgs Triplets and A Singletmentioning
confidence: 99%
“…Furthermore, one can enforce some extra flavor symmetries in the lepton sector in order to dynamically get the appropriate PMNS mixing matrix. Some discrete groups, such as A 4 [47,48], S 4 [49] or S 3 [50,51] were employed in 3-3-1, and the procedure can be similarly applied in order to accomplish this task in the model of interest here.…”
Section: Tuning the Parametersmentioning
confidence: 99%