Self-Duality and Maximally Helicity Violating QCD Amplitudes

TL;DR

This paper reviews recent work highlighting the analogy between self-dual Yang-Mills amplitudes and certain QCD amplitudes, emphasizing similarities at tree level and one-loop for specific helicity configurations.

Contribution

It demonstrates the close analogy between self-dual Yang-Mills and QCD amplitudes with positive helicity gluons at tree level and one-loop, providing insights into their structural similarities.

Findings

Analogy between self-dual Yang-Mills and QCD amplitudes established

Similarity observed at tree level with two quarks

One-loop amplitudes with only gluons also show this analogy

Abstract

I review some recent work that describes the close analogy between self-dual Yang--Mills amplitudes and QCD amplitudes with external gluons of positive helicity. This analogy is carried at tree level for amplitudes with two external quarks and up to one-loop for amplitudes involving only external gluons.