Orthogonal color bases for exotic representations

TL;DR

This paper develops a method to construct orthogonal color bases for exotic SU(3) representations, extending existing techniques beyond standard model particles to improve calculations involving complex color structures.

Contribution

It introduces a systematic approach to build orthogonal multiplet bases for exotic representations in SU(3), enhancing the analysis of strongly charged particles.

Findings

Constructed orthogonal bases for exotic representations

Improved methods for handling complex color structures

Facilitated calculations involving non-standard particles

Abstract

A complication in the treatment of any strongly charged particle is the SU(3) color structure. For the standard model quarks antiquarks and gluons there are various well-known strategies for dealing with the color structure, including orthogonal multiplet bases. For exotic representations, beyond triplets, antitriplets and octets, non-orthogonal bases have been systematically worked out only recently. In this letter we demonstrate how to construct orthogonal multiplet bases also for processes including exotic representations.