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A detailed study of the criteria for stability of the scalar potential, andthe proper electroweak symmetry breaking pattern in some 3-3-1 models withoutexotic electric charges is presented. In this paper we concentrate in a scalarsector with three Higgs scalar triplets, with a potential that does not includethe cubic term, due to the presence of a discrete symmetry. For the analysis weuse, and improve, a method previously developed to study the scalar potentialin the two-Higgs-doublet extension of the standard model. Our main result is toshow the consistency of those 3-3-1 models without exotic electric charges.

Scalar Potential Without Cubic Term in 3-3-1 Models Without Exotic Electric Charges