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.

Comments: 14 pages, 3 figures