The Energy Criterion and Dynamical Symmetry Breaking in a $SU(3{)}_L\otimes U(1{)}_X$ Extension of the Standard Model

Abstract

The coupling constants $g_L$ and $g_X$ of some versions of the $SU(3{)}_L\otimes U(1{)}_X$ extension of the standard model are related through to relationship $g_X^2/g_L^2={\sin }^2{\theta }_W/(1-4{\sin }^2{\theta }_W)$. This fact suggest that the $SU(3{)}_L\otimes U(1{)}_X$ gauge symmetry in this class of models can be broken dynamically to the standard model at TeV scale without requiring the introduction of fundamental scalars. This possibility was investigated by Das and Jain who considered only the first version of this class of models. In this brief report we discuss an energy criterion to verify the most probable version of the $SU(3{)}_L\otimes U(1{)}_X$ model that is realized in nature.

arXiv comment8 pages, 1 figure, to appear in PRD, typos corrected

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Cited by in corpus (5)

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• The Gauge Bosons Masses in a SU(2)_TC x SU(3)_L x U(1)_X Extension of the Standard Model
• A 125 GeV Scalar Boson and SU(N_{TC})\otimes SU(3)_{{}_{L}}\otimes U(1)_{{}_{X}} models
• Dynamical Symmetry Breaking in a Minimal 3-3-1 Model
• The mass splitting in an 331-TC coupled Scenario