$\mbox{SU}(3)_L \otimes \mbox{U}(1)_N$ and $\mbox{SU}(4)_L \otimes \mbox{U}(1)_N$ gauge models with right-handed neutrinos

Abstract

Pisano and Pleitez have introduced an interesting $\mbox{SU}(3)_C \otimes \mbox{SU}(3)_L \otimes \mbox{U}(1)_N$ gauge model which has the property that gauge anomaly cancellation requires the number of generations to be a multiple of 3. We consider generalizing that model to incorporate right-handed neutrinos. We find that there exists a non-trivial generalization of the Pisano-Pleitez model with right-handed neutrinos which is actually simpler than the original model in that symmetry breaking can be achieved with just three $\mbox{SU}(3)_L$ triplets (rather than 3 $\mbox{SU}(3)_L$ triplets and a sextet). We also consider a gauge model based on $\mbox{SU}(3)_C\otimes \mbox{SU}(4)_L \otimes \mbox{U}(1)_N$ symmetry. Both of these new models also have the feature that the anomalies cancel only when the number of generations is divisible by 3.

8, McGill/94-10

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• $SU(3)\otimes U(1)$ Model for Electroweak Interactions
• 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
• Heavy Charged Leptons in an $SU(3{)}_L\otimes U(1{)}_N$ Model
• Supersymmetric SU(3) X U(1) Gauge Model: Higgs Structure at the Electroweak Scale
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