2012/09/27 by Naoki Yamatsu
Physics and Astronomy · #Chiral model #Chiral symmetry #Chiral symmetry breaking #Coupling (piping) #Coupling constant #High-Energy Particle Collisions Research #Mixing (physics) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Symmetry (geometry) #Yukawa potential #hep-ph
paper · pdf · doi:10.1093/ptep/pts079
22 pages, 7 figures
arxiv created 2012/09/27 · openalex publication_date 2013/01/04 · arxiv updated 2016/06/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
New mixing structures between chiral generations of elementary particles at low energy are shown in a vectorlike model with horizontal symmetry SU(1,1). In this framework the chiral model, including an odd number of chiral generations, is realized via spontaneous breaking of the horizontal symmetry. It is shown that the Yukawa coupling matrices of chiral generations have naturally hierarchical patterns, and in some cases the overall factors of their Yukawa coupling matrices, e.g. the Yukawa coupling constants of the bottom quark and tau lepton, are naturally suppressed.