Systematic study of the SU(3) _c ⊗SU(3) _L ⊗ U(1) _X local gauge symmetry

Abstract

We review in a systematic way how anomaly free $SU(3)_c\otimes SU(3)_L\otimes U(1)_x$ models without exotic electric charges can be constructed, using as basis closed sets of fermions which includes each one the particles and antiparticles of all the electrically charged fields. Our analysis reproduces not only the known models in the literature, but also shows the existence of several more independent models for one and three families not considered so far. A phenomenological analysis of the new models is done, where the lowest limits at a 95 \% CL on the gauge boson masses are presented.

Alternative 3-3-1 models with exotic electric charges

“…Table 6 shows the contribution of each set to the anomalies. From table 6, it is possible to obtain the irreducible AFSs [48], shown in table 7. The irreducible AFSs Q I i , Q II i and Q III i in table 7 correspond to fermion sets with one quark family, two quark families, or three quark families, respectively.…”

“…Pleitez and Frampton proposed the non-universal 3-3-1 models [13,14] as examples of electroweak extensions with lepton number violation, where the number of families is determined by anomaly cancellation. In the literature, there are many examples of models without exotic electric charges, these models have been appropriately classified, and their phenomenology is well known [46][47][48]. The original model of Pleitez and Framton has exotic electric charges in the quark sector and corresponds to what is known in the literature as b = 3 [12].…”