English

Fermion Generations and Mixing from Dualized Standard Model

High Energy Physics - Phenomenology 2008-11-26 v1 High Energy Physics - Theory

Abstract

We review a possible solution to the fermion generation puzzle based on a nonabelian generalization of electric--magnetic duality derived some years ago. This nonabelian duality implies the existence of another SU(3) symmetry dual to colour, which is necessarily broken when colour is confined and so can play the role of the ``horizontal'' symmetry for fermion generations. When thus identified, dual colour then predicts 3 and only 3 fermion generations, besides suggesting a special Higgs mechanism for breaking the generation symmetry. A phenomenological model with a Higgs potential and a Yukawa coupling constructed on these premises is shown to explain immediately all the salient qualitative features of the fermion mass hierarchy and mixing pattern, excepting for the moment CP-violation. Calculations already carried out to 1-loop order is shown to give with only 3 adjustable parameters the following quantities all to within present experimental error: all 9 CKM matrix elements Vrs|V_{rs}| for quarks, the neutrino oscillation angles or the MNS lepton mixing matrix elements Uμ3,Ue3|U_{\mu 3}|, |U_{e 3}|, and the mass ratios mc/mt,ms/mb,mμ/mτm_c/m_t, m_s/m_b, m_\mu/m_\tau. The special feature of this model crucial for deriving the above results is a fermion mass matrix which changes its orientation (rotates) in generation space with changing energy scale, a feature which is shown to have direct empirical support.

Keywords

Cite

@article{arxiv.hep-ph/0303010,
  title  = {Fermion Generations and Mixing from Dualized Standard Model},
  author = {H. M. Chan and S. T. Tsou},
  journal= {arXiv preprint arXiv:hep-ph/0303010},
  year   = {2008}
}

Comments

updated version of course of lectures given at the 42nd Cracow School of Theoretical Physics, 2002, Poland

R2 v1 2026-07-22T13:46:52.607Z