$A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model

Details $A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model $A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model

2006-12-07

arxiv.org/abs/hep-ph/0612080v1

Nucl.Phys.Proc.Suppl.168:350-352,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages

Scientific paper

10.1016/j.nuclphysbps.2007.02.03

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.

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