2009/07/07 by Ikuo S. Sogami, I. S. Sogami
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Particle physics theoretical and experimental studies #Quantum and Classical Electrodynamics #hep-ph
paper · pdf · doi:10.1143/ptp.122.807
published as Prog.Theor.Phys.122:807-829,2010 · 23 pages, no figure
arxiv created 2009/07/07 · openalex publication_date 2009/10/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The standard model of particle physics is generalized so as to be furnished with a horizontal symmetry generated by an intermediate algebra between simple Lie algebras (2) and (3). Above a certain high-energy scale , the horizontal gauge symmetry is postulated to hold so that the basic fermions, i.e., quarks and leptons, form its fundamental triplets, and a triplet and singlet of the horizontal gauge fields distinguish generational degrees of freedom. A horizontal scalar triplet is introduced to make the gauge fields supermassive by breaking the horizontal symmetry at . From this scalar triplet, real scalar fields emerge that do not interact with fermions except for neutrino species and may have a substantial influence on the evolution of the universe. Another horizontal scalar triplet that breaks the electroweak symmetry at a low-energy scale Λ ≃ 2 × 102 GeV reproduces all of the results of the Weinberg-Salam theory, produces hierarchical mass matrices with fewer unknown parameters in a unified way and predicts six massive scalar particles, some of which might be observed in future LHC experiments.