Systematic study of the SU(3) c ⊗SU(3) L ⊗ U(1) X local gauge symmetry

We review in a systematic way how anomaly free SU(3)( c ) circle times SU(3)( L ) circle times 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.

Automated summary

This paper systematically reviews the construction of anomaly-free SU(3)( c ) circle times SU(3)( L ) circle times U(1)( x ) models without exotic electric charges, providing several new independent models for one and three families that have not been considered before.