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We have considered a model, originally proposed by Ma and Wegman, where themixing pattern in neutrino sector is explained with three Higgs doublets, sixHiggs triplets and $A_4$ symmetry. The mixing pattern is explained with thehelp of vacuum expectation values (VEVs) of the above mentioned doublets andtriplets. In order to study about the VEVs of the scalar fields, we constructthe full invariant scalar potential of this model. After minimizing this scalarpotential, we have found that two Higgs triplets can acquire zero VEVs. Inorder to generate non-zero VEVs to all the six Higgs triplets, we have addedtwo more Higgs doublets to the model. Thereafter we have demonstrated that thecurrent neutrino oscillation data can be consistently explained in our model.To study some phenomenological implications of this model, we have worked outon the branching ratios for lepton flavor violating decays.

Analyses of scalar potential and lepton flavor violating decays in a model with $A_4$ symmetry