The simplest 3-3-1 model

Abstract

A simple extension of the Standard Model (SM), based on the gauge group $SU(3{)}_C\otimes SU(3{)}_L\otimes U(1{)}_Y$ with $Y$ being the hypercharge, is considered. We show that, by imposing an approximate global $SU(2{)}_L\times SU(2{)}_R$ custodial symmetry at the SM energy scale, the $Z-Z^{\prime }$ mixing is absent at tree level and the value of the $\rho$ parameter can be kept close to one. Tree-level flavor-changing neutral currents are also reduced to three particles, namely $Z^{\prime }$, a CP-odd Higgs and a CP-even Higgs. The model predicts new leptons with electric charges of $\pm 1/2e$ and new quarks with $\pm 1/6e$ charges as well as new gauge and scalar bosons with $\pm 1/2e$ charges. Electric charge conservation requires that one of them must be stable. Their masses are unfortunately free parameters.

14 pages. matches published version

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• Stable Massive Particles at Colliders
• The Anatomy of Quark Flavour Observables in 331 Models in the Flavour Precision Era
• Z-Z' Mixing and Z-Mediated FCNCs in SU(3)_C x SU(3)_L x U(1)_X Models
• FCNC in the minimal 3-3-1 model revisited
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Cited by in corpus (17)

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• Higgs Phenomenology in the Minimal $SU(3{)}_L\times U(1{)}_X$ Model
• Neutral Higgs decays $H\to Z\gamma ,\gamma \gamma$ in 3-3-1 models
• General one-loop formulas for decay $h\to Z\gamma$
• Theoretical constraints on the Higgs potential of the general $331$ model
• Constraining heavy neutral gauge boson $Z^{\prime }$ in the 3 - 3 - 1 models by weak charge data of Cesium and proton
• An explanation of experimental data of $(g-2{)}_{e,\mu }$ in 3-3-1 models with inverse seesaw neutrinos
• On the triplet anti-triplet symmetry in 3-3-1 models
• Natural neutrino sector in a 331-model with Froggatt-Nielsen mechanism
• Contribution of heavy neutrinos to decay of standard-model-like Higgs boson $h\to \mu \tau$ in a 3-3-1 model with additional gauge singlets
• 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
• Electric charge quantization in 331 Models with exotic charges
• Fractionary Charged Particles Confronting Lepton Flavor Violation and the Muon's Anomalous Magnetic Moment