2025/06/20 by Benavides, Richard H., Giraldo, Yithsbey, Rojas, Eduardo
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.2506.16693
We explore the recently proposed gauge symmetry \( SU(3)C ⊗ SU(3)L ⊗ SU(3)R ⊗ U(1)X \), which naturally embeds both the Left-Right symmetric model and the 3-3-1 model as subgroups. Within this unified framework, we propose four families of leptons and quarks. A detailed analysis of their contributions to gauge anomaly cancellation is carried out for a general value of the parameter β. From this analysis, eight non-universal anomaly-free three-family models and four non-universal two-family anomaly free sets were identified. The three-family models offer realistic extensions of the Standard Model, retaining several appealing features of the 3-3-1 models, while the two-family sets provide flexibility for constructing models with even numbers of families. We also report LHC bounds on the Z' mass for the particular case β= -1/√(3), considering all possible combinations of lepton and quark families. These limits exhibit a strong dependence on the mixing parameter θ, which enters the couplings of Standard Model fermions to the Z' boson.