A4 Group and Tri-bimaximal Neutrino Mixing - A Renormalizable Model

The tetrahedron A4 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, χ and χ', transforming under A4 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 χ and χ' from communicating with each other. The clash of the different vev structures for χ and χ' 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