Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry

Abstract

We study the lepton sector in the model based on the local gauge group $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ which do not contain particles with exotic electric charges. The seesaw mechanism and discrete $A_4$ 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 $V_{e3}$ presents in the modified mixing matrix.

10 pages

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