The Electric Charge Assignment in $SU(4)_{L}\otimes U(1)_{Y}$ Gauge Models

TL;DR

This paper introduces a method to distinguish and accurately assign electric charge spectra in $SU(4)_L imes U(1)_Y$ gauge models, predicting charge assignments and gauge coupling relations.

Contribution

It presents a novel approach that naturally predicts electric charge assignments and gauge coupling relations in $SU(4)_L imes U(1)_Y$ models, enhancing model discrimination.

Findings

Method predicts correct electric charge spectrum.

Method determines relations between gauge couplings.

Discriminates among different $SU(4)_L imes U(1)_Y$ models.

Abstract

In this brief report, apart from the usual approach, we discriminate among models in the class of \textbf{$SU(4)_{L}\otimes U(1)_{Y}$} electro-weak gauge models by just setting the versors in the method of the exactly solving gauge models with high symmetries. We prove that the method itself naturally predicts the correct assingment of the electric charge spectrum along with the relation between the gauge couplings of the groups involved therein for each particular model in this class.