BCJ duality and the double copy in the soft limit

TL;DR

This paper investigates the infrared singularities in QCD and quantum gravity, providing evidence that their divergence structures are consistent with the double copy conjecture at all perturbative orders.

Contribution

It demonstrates that IR divergences in both theories align with the double copy property, supporting the conjecture at loop level and discussing implications for the dipole formula.

Findings

IR divergences are consistent with the double copy at all orders

Supports the double copy conjecture for infrared singularities

Discusses implications for the dipole formula in QCD

Abstract

We examine the structure of infrared singularities in QCD and quantum General Relativity, from the point of view of the recently conjectured double copy property which relates scattering amplitudes in non-Abelian gauge theories with gravitational counterparts. We show that IR divergences in both theories are consistent with the double copy procedure, to all orders in perturbation theory, thus providing all loop-level evidence for the conjecture. We further comment on the relevance, or otherwise, to the so-called dipole formula, a conjecture for the complete structure of IR singularities in QCD.