Relations and representations of QCD amplitudes

TL;DR

This paper reviews various relations and representations of primitive QCD tree amplitudes, emphasizing their generalizations from pure Yang-Mills theory to QCD, including cases with massive quarks and implications for gravity interactions.

Contribution

It provides a comprehensive overview of how BCJ, CHY, and KLT relations extend from Yang-Mills to QCD, including massive quarks and gravity interactions.

Findings

Generalization of KLT relations to massive quarks in QCD

Extension of BCJ and CHY representations to QCD

Implications for hypothetical particles interacting gravitationally

Abstract

In this talk we review relations and representations of primitive QCD tree amplitudes. Topics covered include the BCJ relations, the CHY representation, and the KLT relations. We will put a special emphasis on how these relations and representations generalise from pure Yang-Mills theory to QCD. The generalisation of the KLT relations from pure Yang-Mills to QCD includes the case of massive quarks. On the gravity side we then obtain hypothetical particles interacting with gravitational strength, which can be massive and non-relativistic.