Ordering multiple soft gluon emissions
  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. 
Ren\'e \'Angeles-Mart\'inez, Jeffrey R. Forshaw, Michael H. Seymour
hep-ph