An $SU(15)$ Approach to Bifermion Classification

TL;DR

This paper explores how the $SU(15)$ grand unification framework naturally classifies bifermions, including leptoquarks, biquarks, and bileptons, offering a unified approach to extending the standard model.

Contribution

It introduces an $SU(15)$ model that systematically classifies all possible bifermions within a single grand unification scheme.

Findings

$SU(15)$ encompasses all bifermions in one model

Provides a unified classification scheme for bifermions

Suggests a natural extension to the standard model

Abstract

One interesting way to extend the standard model is the hypothesis of bifermions which are bosons which couple to pairs of quarks and leptons. We point out that $SU(15)$ grand unification gives a natural way to classify bifermions and discuss leptoquarks, biquarks and bileptons. In fact, $SU(15)$ provides an ideal covering group as it contains all possible bifermions within a single model.