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The infrared singularities of gravitational amplitudes are one-loop exact, inthat higher-loop divergences are characterized by the exponential of theone-loop divergence. We show that the contributions to SU(N) gauge-theoryamplitudes that are most-subleading in the 1/N expansion are also one-loopexact, provided that the dipole conjecture holds. Possible corrections to thedipole conjecture, beginning at three loops, could violate one-loop-exactness,though would still maintain the absence of collinear divergences. We alsodemonstrate a relation between L-loop four-point N=8 supergravity andmost-subleading-color N=4 SYM amplitudes that holds for the two leading IRdivergences, O(1/\epsilon^L) and O(1/\epsilon^{L-1}), but breaks down atO(1/\epsilon^{L-2}).

All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes