Gauge Field Theory of Horizontal Symmetry Generated by a Central Extension of the Pauli Algebra
Abstract
The standard model of particle physics is generalized so as to be furnished with a horizontal symmetry generated by an intermediate algebra between simple Lie algebras su(2) and su(3). Above a certain high-energy scale breve{Λ}, the horizontal gauge symmetry is postulated to hold so that the basic fermions, i.e., quarks and leptons, form its fundamental triplets, and a triplet and singlet of the horizontal gauge fields distinguish generational degrees of freedom. A horizontal scalar triplet is introduced to make the gauge fields supermassive by breaking the horizontal symmetry at breve{Λ}. From this scalar triplet, real scalar fields emerge that do not interact with fermions except for neutrino species and may have a substantial influence on the evolution of the universe. Another horizontal scalar triplet that breaks the electroweak symmetry at a low-energy scale Λ ≃ 2 × 10^2 GeV reproduces all of the results of
the Weinberg-Salam theory, produces hierarchical mass matrices with fewer unknown parameters in a unified way and predicts six massive scalar particles, some of which might be observed in future LHC experiments.- Publication:
-
Progress of Theoretical Physics
- Pub Date:
- October 2009
- DOI:
- 10.1143/PTP.122.807
- arXiv:
- arXiv:0907.1163
- Bibcode:
- 2009PThPh.122..807S
- Keywords:
-
- High Energy Physics - Phenomenology
- E-Print:
- 23 pages, no figure