Speaker
Description
We investigate the recently proposed gauge symmetry
$SU(3)_C \otimes SU(3)_L \otimes SU(3)_R \otimes U(1)_X$,
which naturally embeds both the Left--Right symmetric model and the 3-3-1 framework as subgroups.
Within this unified setting, we introduce four families of leptons and quarks, and perform a systematic study of their contributions to gauge anomaly cancellation for a general value of the parameter $\beta$.
Our analysis identifies eight non-universal anomaly-free models with three families and four non-universal anomaly-free sets with two families.
The three-family models provide realistic extensions of the Standard Model while preserving several appealing features of the 3-3-1 scenario. In contrast, the two-family sets offer additional flexibility for constructing models with an even number of generations.
Furthermore, we present LHC bounds on the $Z'$ mass in the specific case $\beta=-1/3$, considering all possible assignments of lepton and quark families.
These limits show a pronounced dependence on the mixing parameter $\theta$, which governs the couplings of Standard Model fermions to the $Z'$ boson.
