Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-04-02
Phys.Rev.D70:073013,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
Minor modifications, references added, typos corrected. LaTeX, 16 pages
Scientific paper
10.1103/PhysRevD.70.073013
The existence of maximal and minimal mixing angles in the neutrino mixing matrix motivates the search for extensions to the Standard Model that may explain these angles. A previous study (C.I.Low and R.R.Volkas, Phys.Rev.D68,033007(2003)), began a systematic search to find the minimal extension to the Standard Model that explains these mixing angles. It was found that in the minimal extensions to the Standard Model which allow neutrino oscillations, discrete unbroken lepton family symmetries only generate neutrino mixing matrices that are ruled out by experiment. This paper continues the search by investigating all models with two or more Higgs doublets, and an Abelian family symmetry. It is found that discrete Abelian family symmetries permit, but cannot explain, maximal atmospheric mixing, however these models can ensure theta_{13}=0.
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