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

Xiao-Gang He
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Abstract

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, $χ$ and $χ'$, 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 $χ$ 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.

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Xiao-Gang He. 2006-12-07. $A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model. https://doi.org/10.1016/j.nuclphysbps.2007.02.034

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