Vacuum stability conditions of the economical 3-3-1 model from copositivity

Abstract

By applying copositivity criterion to the scalar potential of the economical $3-3-1$ model, we derive necessary and sufficient bounded-from-below conditions at tree level. Although these are a large number of intricate inequalities for the dimensionless parameters of the scalar potential, we present general enlightening relations in this work. Additionally, we use constraints coming from the minimization of the scalar potential by means of the orbit space method, the positivity of the squared masses of the extra scalars, the Higgs boson mass, the $Z^{\prime }$ gauge boson mass and its mixing angle with the SM $Z$ boson in order to further restrict the parameter space of this model.

arXiv comment22 pages, 7 figures, added text and references. Matches published version

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• Neutral Higgs decays $H\to Z\gamma ,\gamma \gamma$ in 3-3-1 models
• On the Higgs spectra of the 3-3-1 model
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• Dynamical Symmetry Breaking and Fermion Mass Hierarchy in the Scale-Invariant 3-3-1 Model
• Constraining the $3-3-1$ model with heavy neutral leptons using $(g-2{)}_{\mu }$ and dark matter observables
• Vacuum Structure of Alternative Left-Right Model
• Vacuum Stability in the one-loop approximation of a 331 Model
• The CP violation and scalar dark matter in a 331 model
• Large signal of $h\to \mu \tau$ within the constraints of $e_i\to e_j\gamma$ decays in the 3-3-1 model with neutral leptons
• Is our vacuum global in a 331 model with three triplets?
• Three decades of FCNC studies in 3-3-1 model with right-handed neutrinos: from $Z^{\prime }$-dominance to the alignment limit
• Flavor-changing axions and Dirac neutrino masses
• Theoretical constraints on scalar parameters in the compact 341 model
• LFV decays in a 3-4-1 model with minimal inverse seesaw neutrinos
• Theoretical and Experimental Constraints on ${\mathbb{Z}}_{2n}$ Multi-Component Dark Matter Models