2003/04/27 by Graham D. Kribs
Mathematics · Physics and Astronomy · #Argument (complex analysis) #Black Holes and Theoretical Physics #Computer science #Dimension (graph theory) #Geometry #Grand Unified Theory #Mathematics #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Philosophy #Physics #Planck #Proton decay #Pure mathematics #Quantum mechanics #Right handed #Simple (philosophy) #Supersymmetry #Symmetry (geometry) #Theoretical physics #Unification #hep-ph
paper · pdf · doi:10.1103/physrevd.69.111701
published as Phys.Rev. D69 (2004) 111701 · 5 pages, REVTeX 4
arxiv created 2003/04/27 · openalex publication_date 2004/06/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A simple argument based on an SU(3) gauged horizontal symmetry is presented in detail that connects the explanation for three generations of matter with the existence of a triplet of right-handed neutrinos. This rationale for right-handed neutrinos is analogous to, but completely independent of, grand unification. A supersymmetric model with a gauged horizontal SU(3) removes the dangerous dimension-5 Planck-suppressed operators that lead to too fast proton decay in ordinary supersymmetric models. The most direct test of this idea is the observation of lepton flavor violating interactions arising from the exchange of SU(3) gauge bosons.