Unusual identities for QCD at tree-level

TL;DR

This paper explores new quadratic relations in QCD amplitudes derived from gauge theory and gravity analogies, leading to structural simplifications in QCD calculations.

Contribution

It introduces novel quadratic relations specific to QCD amplitudes, extending known gauge-gravity relations to pure QCD scenarios.

Findings

Identifies quadratic relations linking gauge theory and gravity amplitudes.

Derives QCD-specific relations by flipping gluon helicities.

Provides structural simplifications for QCD amplitude computations.

Abstract

We discuss a set of recently discovered quadratic relations between gauge theory amplitudes. Such relations give additional structural simplifications for amplitudes in QCD. Remarkably, their origin lie in an analogous set of relations that involve also gravitons. When certain gluon helicities are flipped we obtain relations that do not involve gravitons, but which refer only to QCD.