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.

arXiv commentsame as the published version

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• An explanation of experimental data of $(g-2{)}_{e,\mu }$ in 3-3-1 models with inverse seesaw neutrinos
• Heavy singly charged Higgs bosons and inverse seesaw neutrinos as origins of large $(g-2{)}_{e,\mu }$ in two higgs doublet models
• $SU(5{)}_L\times U(1{)}_Y$ 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