1998/02/03 by Aharon Davidson, Tomer Schwartz, Raymond R. Volkas
Mathematics · Physics and Astronomy · #Electron #Fermion #Flavour #Geometry #Grand Unified Theory #Hierarchy #Higgs boson #Lepton #Mass ratio #Mathematics #Neutrino Physics Research #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quark #hep-ph
paper · pdf · doi:10.1088/0954-3899/25/8/302
published as J.Phys.G25:1571-1588,1999 · Revtex, 11 twocolumn pages, No figures
arxiv created 1998/02/03 · openalex publication_date 1999/07/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A link is established between the observed (approximate) geometric mass hierarchy of quarks and leptons and the triangular structure of their tenable flavour representations. This singles out SU (3) H as the horizontal flavour group, thereby linking the Fermi mass hierarchy with the threefold family replication. These linkages are exploited within a flavour-chiral SU (3) H model, with fermions and Higgs bosons in the representation. The model is left-right symmetric and utilizes the universal see-saw mechanism with a geometric mass suppression pattern. Given certain assumptions, the model produces the following mass-ratio (rather than square-mass-ratio) mixing angle relations V cb = - V ts = m s m b + m c m t , V ub = (2 m c m t - m s m b ) C , V td = (2 m s m b - m c m t ) C , and fixes the m u m d ratio.