Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-02-07
Phys.Rev.D50:34-38,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
8, McGill/94-10
Scientific paper
10.1103/PhysRevD.50.R34
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.
Foot Robert
Long Hoang Ngoc
Tran Tuan A.
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