2004/04/30 by Catherine I Low, Catherine I. Low · 3 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1103/physrevd.70.073013
published as Phys.Rev.D70:073013,2004 · Minor modifications, references added, typos corrected. LaTeX, 16 pages
arxiv created 2004/07/19 · openalex publication_date 2004/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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. D 68,, 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 \ensuremathθ13=0.