Evading the Landau pole in the minimal 3-3-1 model with leptoquarks

Abstract

In its original version, the minimal 3-3-1 model possess a Landau-pole around 2-6 TeV scale. Current LHC bound on $Z^{\prime }$ implies that the $SU(3{)}_L\times U(1{)}_X$ symmetry must break spontaneously around 4 TeV which means that the model may lose its perturbative character even before symmetry breaking. This is a disaster for the model. Few attention has been devoted to this problem. Here we investigate the efficiency of scalar leptoquarks in evading or shifting the Landau pole to a harmless energy scale.

arXiv comment14 pages, 3 figures

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• Radiative corrections to the $\mathrm{S},\mathrm{T},\mathrm{U}$ parameters and their impact on the $W$ boson mass in the 331 model
• Three decades of FCNC studies in 3-3-1 model with right-handed neutrinos: from $Z^{\prime }$-dominance to the alignment limit
• Rescuing 331 bileptons from the Landau pole