Stability of the Scalar Potential and Symmetry Breaking in the Economical 3-3-1 Model

Abstract

A detailed study of the criteria for stability of the scalar potential and the proper electroweak symmetry breaking pattern in the economical 3-3-1 model, is presented. For the analysis we use, and improve, a method previously developed to study the scalar potential in the two-Higgs-doublet extension of the standard model. A new theorem related to the stability of the potential is stated. As a consequence of this study, the consistency of the economical 3-3-1 model emerges.

arXiv commentto be published in EPJ C, 13 pages

References in corpus (35)

• $SU(3)\otimes U(1)$ Model for Electroweak Interactions
• Basis-independent methods for the two-Higgs-doublet model
• $\mbox{SU}(3)_L \otimes \mbox{U}(1)_N$ and $\mbox{SU}(4)_L \otimes \mbox{U}(1)_N$ gauge models with right-handed neutrinos
• Neutral Currents and GIM Mechanism in SU(3)_L X U(1)_N Models for Electroweak Interactions
• The 331 model with right-handed neutrinos
• Stability and Symmetry Breaking in the General Two-Higgs-Doublet Model
• SU(3)_LxU(1)_N Model for Right-Handed Neutrino Neutral Currents
• Symmetries of Two Higgs Doublet Model and CP violation
• The electroweak theory of SU(3) $\times$ U(1)
• Heavy Charged Leptons in an $SU(3{)}_L\otimes U(1{)}_N$ Model
• Basis-independent methods for the two-Higgs-doublet model II. The significance of tan(beta)
• Minimal Scalar Sector of 3-3-1 Models without Exotic Electric Charges
• SU(3)_C X SU(3)_L X U(1)_X model with two Higgs triplets
• The scalar sector of the $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ model
• Analysis of SU(3)_c X SU(3)_L X U(1)_X local gauge theory
• Charge and CP symmetry breaking in two Higgs doublet models
• Scalar sector of the 3 3 1 model with three Higgs triplets
• The Scalar Sector of 3-3-1 Models
• Neutrino masses in the economical 3-3-1 model
• New fermions and a vector-like third generation in $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_N$ models
• Neutrinoless double beta decay in an $SU(3{)}_L\otimes U(1{)}_N$ model
• Fermion masses in the economical 3-3-1 model
• 3-3-1 Models with Unique Lepton Generations
• Higgs-gauge boson interactions in the economical 3-3-1 model
• The Higgs sector in the minimal 3-3-1 model with the most general lepton-number conserving potential
• Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM
• The economical SU(3)_C X SU(3)_L X U(1)_X model
• The Higgs Sector of the Minimal 3 3 1 Model Revisited
• The Scalar Sector in 331 Models
• Study of the SU(3)_c X SU(3)_L X U(1)_X model with the minimal scalar sector
• Phenomenology of the $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ model with exotic charged leptons
• Main phenomenological features of the spontaneous CP violation in SU(3) x U(1) models
• Atomic parity violation in the economical 3-3-1 model
• Constraints on economical 331 models from mixing of K, Bd and Bs neutral mesons
• Lepton masses and mixing without Yukawa hierarchies

Cited by in corpus (5)

• Natural PQ symmetry in the 3-3-1 model with a minimal scalar sector
• Implementing the inverse type-II seesaw mechanism into the 3-3-1 model
• The economical 3-3-1 model revisited
• Scalar Potential Without Cubic Term in 3-3-1 Models Without Exotic Electric Charges
• Is our vacuum global in a 331 model with three triplets?