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

2006/12/07 by Xiao-Gang He
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1016/j.nuclphysbps.2007.02.034

published as Nucl.Phys.Proc.Suppl.168:350-352,2007 · 4 pages

arxiv created 2006/12/07 · openalex publication_date 2007/05/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations