Accidental symmetries and massless quarks in the economical 3-3-1 model

Abstract

In the framework of a 3-3-1 model with a minimal scalar sector, known as the economical 3-3-1 model, we study its capabilities of generating realistic quark masses. After a detailed study of the symmetries of the model, before and after the spontaneous symmetry breaking, we find a remaining axial symmetry that prevents some quarks to gain mass at all orders in perturbation theory. Since this accidental symmetry is anomalous, we also consider briefly the possibility to generate their masses for non-perturbative effects. However, we find that non-perturbative effects are not enough to generate the measured masses for that three massless quarks. Hence, these results imply that the economical 3-3-1 model is not a realistic description of the electroweak interaction and it has to be modified.

arXiv comment11 pages, no figures

References in corpus (11)

• $SU(3)\otimes U(1)$ Model for Electroweak Interactions
• $\mbox{SU}(3)_L \otimes \mbox{U}(1)_N$ and $\mbox{SU}(4)_L \otimes \mbox{U}(1)_N$ gauge models with right-handed neutrinos
• Leptons masses in an $SU(3{)}_L\otimes U(1{)}_N$ Gauge Model
• Neutral Currents and GIM Mechanism in SU(3)_L X U(1)_N Models for Electroweak Interactions
• Charge quantization in a chiral bilepton gauge model
• Minimal Scalar Sector of 3-3-1 Models without Exotic Electric Charges
• Concerning the Landau Pole in 3-3-1 Models
• Stabilizing the invisible axion in 3-3-1 models
• Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
• Natural PQ symmetry in the 3-3-1 model with a minimal scalar sector
• Is strong CP invariance due to a massless up quark?

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• Fermion Mass Hierarchy and Double Seesaw Mechanism in a 3-3-1 Model with an Axion
• New constraints on the 3-3-1 model with right-handed neutrinos
• Hierarchical Fermions and Detectable $Z^{\prime }$ from Effective Two-Higgs-Triplet 3-3-1 Model
• The economical 3-3-1 model revisited
• Dynamical Symmetry Breaking and Fermion Mass Hierarchy in the Scale-Invariant 3-3-1 Model
• Scale-invariant 3-3-1-1 model with $B-L$ symmetry
• Vacuum Stability in the one-loop approximation of a 331 Model
• The CP violation and scalar dark matter in a 331 model
• Muon Magnetic Moment and Lepton Flavor Violation in the Economical 3-3-1 Model
• Dark matter in the scale-invariant 3-3-1-1 model