  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.
