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

Ordering multiple soft gluon emissions