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

TL;DR

This paper systematically reviews anomaly-free $SU(3)_c imes SU(3)_L imes U(1)_X$ models, identifying known and new models without exotic charges, and analyzes their phenomenological implications including gauge boson mass limits.

Contribution

It introduces new models within the $SU(3)_c imes SU(3)_L imes U(1)_X$ framework and provides a comprehensive analysis of their phenomenology.

Findings

Reproduces known models in the literature.

Identifies several new models for one and three families.

Provides lower bounds on gauge boson masses at 95% CL.

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 reproduce 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.