Topless Model for Grand Unification
A gauge model unifying weak, electromagnetic, and strong interactions is presented. It is based on the group SUL(3) ⊗ SUR(3) ⊗ SUC(3) ⊗ P with a complete flavor-color permutation symmetry. All fermions are in one irreducible representation of this group. This representation contains a’ new heavy lepton X and a new b-like quark h but no top quark besides u and c. The model has a global E6 ⊗ P symmetry before the local gauging i.e. in the limit of vanishing gauge coupling. A global SU(4) subgroup which may survive the spontaneous symmetry breaking leads to mass relations. The weak decays of b and h quarks can proceed through non-diagonal neutral currents providing for a specifice signature. The weak mixing angle is in accord with experiments.
KeywordsGauge Group Mass Relation Spontaneous Symmetry Breaking Higgs Field Permutation Symmetry
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- 1b.A. Salam, invited talk at the XIX. Int. Conf. on HEP, Tokyo 1978Google Scholar
- 5.S. Okubo, Rochester preprint UR-651Google Scholar
- 6a.SUL⊗ (3) × SUR(3) theories with a (3*, 3) nonet of leptons were first considered by: Y. Achiman, contr. paper Nr. 491 to the 16th Int. Conf. on High Energy Physics, Batavia, 1972Google Scholar
- 7a.For recent SUL(3) × SUR(3) models with a nonet of leptons see: J.D. Bjorken and K. Lane, Prov. Int. Conf. “Neutrino 77”, Elbrus (1977)Google Scholar
- 8b.A. Salam and J.C. Ward, Phys. Rev. Lett. 13, 168 (196U)Google Scholar
- 8c.S. Weinberg, Phys. Rev. D5, 1264 (1972)Google Scholar
- 13.G. Feldman, invited talk at the XIX. Int. Conf. on HEP, Tokyo 1978Google Scholar
- 15.V. Barger and S. Pakvasa, Univ. of Wisconsin preprint COO-881–64, October 1978Google Scholar