  We present an expression for the QCD amplitude for a general hard scattering
process with any number of soft gluon emissions, to one-loop accuracy. The
amplitude is written in two different but equivalent ways: as a product of
operators ordered in dipole transverse momentum and as a product of
loop-expanded currents. We hope that these results will help in the development
of an all-orders algorithm for multiple emissions that includes the full colour
structure and both the real and imaginary contributions to the amplitude.
