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

TL;DR

This paper explores how scalar leptoquarks can prevent the Landau pole issue in the minimal 3-3-1 model, ensuring the model remains perturbative at higher energy scales.

Contribution

It demonstrates that scalar leptoquarks can effectively evade or delay the Landau pole in the minimal 3-3-1 model, addressing a critical theoretical problem.

Findings

Scalar leptoquarks can shift the Landau pole to higher energies.

The model remains perturbative up to a safer energy scale.

Potential implications for model viability at LHC energies.

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.