A4 group and tri-bimaximal neutrino mixing -: A renormalizable model

The tetrahedron A(4) group has been widely used in studying neutrino mixing matrix. It provides a natural framework of model building for the tri-bimaximal mixing matrix. In this class of models, it is necessary to have two Higgs fields, chi and chi', transforming under A(4) as 3 with one of them having vacuum expectation values for the three components to be equal and another having only one of the components to be non-zero. These specific vev structures require separating chi and chi' from communicating with each other. The clash of the different vev structures for chi and chi' is the so called sequestering problem. In this work, I show that it is possible to construct renormalizable supersymmetric models producing the tri-bimaximal neutrino mixing with no sequestering problem.