Gauge Field Theory of Horizontal Symmetry Generated by a Central Extension of the Pauli Algebra(Particles and Fields)

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概要

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• 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 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 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≃2×10^2GeV 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.

• 2009-10-25

著者

• SOGAMI Ikuo

  Physics Department, Kyoto Sangyo University

• Sogami Ikuo

  Physics Department Kyoto Sangyo University

関連論文

• Gauge Field Theory of Horizontal Symmetry Generated by a Central Extension of the Pauli Algebra(Particles and Fields)
• Notes on Flavor Mixing Matrices Characterized by SU(2)×U(1) Group Parameters
• Sum Rules for Elements of Flavor-Mixing Matrices Based on a Non-Semisimple Symmetry
• A Non-Semisimple Hidden Symmetry for Flavor Physics(Particles and Fields)
• Dirac Mass Matrices in Gauge Field Theory of Horizontal Symmetry(Particles and Fields)

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