Are 3-4-1 models able to explain the upcoming results of the muon anomalous magnetic moment?

Abstract

In light of the upcoming measurement of the muon anomalous magnetic moment (g-2), we revisit the corrections to g-2 in the context of the $SU(4{)}_L\times U(1{)}_X$ gauge symmetry. We investigate three models based on this gauge symmetry and express our results in terms of the energy scale at which the $SU(4{)}_L\times U(1{)}_X$ symmetry is broken. To draw solid conclusions we put our findings into perspective with existing collider bounds. Lastly, we highlight the difference between our results and those rising from $SU(3{)}_L\times U(1{)}_X$ constructions.

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• Phenomenology of the 3-3-1-1 model
• Connection of $g-2_{\mu }$, electroweak, dark matter, and collider constraints on 331 models
• Scalar Bilepton Dark Matter
• Constraining Flavor Changing Interactions from LHC Run-2 Dilepton Bounds with Vector Mediators
• Neutrino masses in a 331 model with right-handed neutrinos without doubly charged Higgs
• Simple 3-3-1 model and implication for dark matter
• The seesaw mechanism at TeV scale in the 3-3-1 model with right-handed neutrinos
• $S{U}_L(4)\times U(1)$ model for electroweak unification and sterile neutrinos
• SU(4)_L X U(1)_X three-family model for the electroweak interaction
• Triple seesaw mechanism
• Lepton masses and mixings in a $T^{\prime }$ flavoured 3-3-1 model with type I and II seesaw mechanisms
• Limits on 331 vector bosons from LHC proton collision data
• Muon Anomalous Magnetic Moment in a $SU(4)\otimes U(1{)}_N$ Model

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• $SU(5{)}_L\times U(1{)}_Y$ electroweak unification
• Weak charges in $SU(5{)}_L\times U(1{)}_Y$ gauge models
• Weak charges quantization in $SU(3{)}_c\otimes SU(n{)}_L\otimes U(1{)}_Y$ gauge models
• $(g-2{)}_{e,\mu }$ and decays $e_b\to e_a\gamma$ in a $ \mbox{SU}(4)_L \otimes \mbox{U}(1)_X$ model with inverse seesaw neutrinos
• A new anomaly free flipped 341 model
• LFV decays in a 3-4-1 model with minimal inverse seesaw neutrinos