Abstract
The supersymmetric SU(6) model equipped with the flavour-blind discrete gauge symmetry Z 3 is considered. It provides a simultaneous solution to the doublet-triplet splitting problem, the μ-problem and leads to a natural undertanding of fermion flavour. The Higgs doublets arise as Goldstone modes of the spontaneously broken accidental global SU(6) × U(6) symmetry of the Higgs superpotential. Their couplings to fermions have peculiarities leading to a consistent picture of the quark and lepton masses and mixing, without invoking the horizontal symmetry or zero texture concepts. In particular, the only particle that has a direct O(1) Yukawa coupling with the Higgs doublet is the top quark. Other fermion masses arise from higher order operators, with a natural mass hierarchy described in terms of the small ratios ε Σ = V Σ V h and ε H = V H M , where V h and V Σ are the corresponding SU(6) and SU(5) symmetry breaking scales, and M is a large (Planck or string) scale. The model automatically implies almost precise b - τ Yukawa unification. Specific mass formulas are also obtained, relating the down quark and charged lepton masses. Neutrinos get small (∼ 10 −5 eV) masses which can be relevant for solving the solar neutrino problem via long wavelength vacuum oscillations.
Submitted Version (
Free)
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
