2017/11/27 by Edison T. Franco, Franco, Edison T., V. Pleitez +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.1711.09866
openalex publication_date 2017/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that in 3-3-1 models the existence of a Landau-like pole in the coupling constant related to the U(1)X factor, gX, in a certain value of sin2θW , arises only assuming that the condition to match the gauge coupling constants of the standard model, g2L, with that of the 3-3-1 model, g3L, is valid for all energies. However, if we impose that this matching condition is valid only at a given energy, say μ= MZ, the pole arises when sin2θX(μLP)=1, which is the only weak mixing angle in the models. The value of μLP depends on the energy scales, μm and μ331, in which the matching and the 3-3-1 symmetry is fully realized, respectively. We also show that g2L and g3L have different running with energy. Therefore, differently from what is usually assumed in the literature, these couplings can not be considered equal for all energies. As a consequence, the fermion couplings with neutral vector bosons are different if we write them in terms of sinθX instead of sinθW .