Permutation Symmetry and the Origin of Fermion Mass Hierarchy
Mar, 199011 pages
Published in:
- Phys.Rev.Lett. 64 (1990) 2747
Report number:
- MdDP-PP-90-158
Citations per year
Abstract: (APS)
A realization of the ‘‘flavor-democracy’’ approach to quark and lepton masses is provided in the context of the standard model with a horizontal S3 permutation symmetry. In this model, t and b quarks pick up mass at the tree level, c, s-quark and τ-lepton masses arise at the one-loop level, u, d, and μ masses at the two-loop level, and the electron mass at the three-loop level, thus reproducing the observed hierarchial structure without fine tuning of the Yukawa couplings. The pattern of quark mixing angles also emerges naturally, with Vus,Vcb≊O(ε), Vub≊O(ε2), where ε is a loop expansion parameter.- gauge field theory: SU(3) x SU(2) x U(1)
- fermion: flavor
- fermion: mass
- mass: fermion
- hierarchy problem
- perturbation theory: higher-order
- symmetry: S(3)
- quark: mixing angle
References(18)
Figures(0)