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Non-Abelian horizontal symmetry and anomalous U(1) symmetry for the supersymmetric flavor problem

2002/12/26 by Nobuhiro Maekawa · 1 citation
Mathematics · Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Discrete symmetry #Fermion #Geometry #Grand Unified Theory #Higgs boson #Homogeneous space #Lepton #Mathematics #Multiplet #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Quark #SO(10) #Scalar (mathematics) #Symmetry (geometry) #Theoretical physics #hep-ph

paper · pdf · doi:10.1016/s0370-2693(03)00485-4

published as Phys.Lett. B561 (2003) 273-278 · ReVTeX, 4 pages, Ver3:Proofread, Typos corrected, Refs. added

arxiv created 2002/12/26 · openalex publication_date 2003/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

It is shown that using non-Abelian horizontal gauge symmetry and anomalous U(1)A symmetry in grand unified theories (GUTs), realistic quark and lepton mass matrices including large neutrino mixings can be obtained, while the differences among the scalar fermion masses are sufficiently small for suppression of various flavor changing neutral current (FCNC) processes, especially in E6 GUT. Combining the Higgs sector, in which doublet–triplet splitting is realized, a complete E6×SU(3)H GUT, in which three generations are unified into a single multiplet, Ψ(27,3), is obtained.

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