Renormalization Group and Grand Unification with 331 Models

Abstract

By making a renormalization group analysis we explore the possibility of having a 331 model as the only intermediate gauge group between the standard model and the scale of unification of the three coupling constants. We shall assume that there is no necessarily a group of grand unification at the scale of convergence of the couplings. With this scenario, different 331 models and their corresponding supersymmetric versions are considered, and we find the versions that allow the symmetry breaking described above. Besides, the allowed interval for the 331 symmetry breaking scale, and the behavior of the running coupling constants are obtained. It worths saying that some of the supersymmetric scenarios could be natural frameworks for split supersymmetry. Finally, we look for possible 331 models with a simple group at the grand unification scale, that could fit the symmetry breaking scheme described above.

18 pages. 3 figures. Some results reinterpreted, a new section and references added. Version to appear in International Journal of Modern Physics A

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Cited by in corpus (6)

• WIMPs in a 3-3-1 model with heavy Sterile neutrinos
• Small neutrino masses and gauge coupling unification
• Neutrino masses and superheavy dark matter in the 3-3-1-1 model
• Flavor changing neutral currents in 331 models
• Effects of quark family nonuniversality in SU(3)_c X SU(4)_L X U(1)_x models
• Rescuing 331 bileptons from the Landau pole