Ordering multiple soft gluon emissions

Abstract

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.

v4: 3 pages; 1 figure, 4 references and small clarifications added. Version accepted for publication in Physical Review Letters

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• An Introduction to PYTHIA 8.2
• Event generation with SHERPA 1.1
• Herwig++ Physics and Manual
• Herwig 7.0 / Herwig++ 3.0 Release Note
• Hard-Soft-Collinear Factorization to All Orders
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• On stochastically sampling color configurations
• Improvements on dipole shower colour
• Colour Evolution and Infrared Physics
• Soft gluon evolution and non-global logarithms
• Cancellation of Infrared Divergences in $e^{+}{e}^{-}\to q\bar{q}g$ in Light Front Coherent State Formalism
• Ordering multiple soft gluon emissions using Glauber-SCET
• A new form of QCD coherence for multiple soft emissions using Glauber-SCET
• Towards Colour Flow Evolution at Two Loops
• Infrared Divergences in $e^{+}{e}^{-}\to 2jets$ in the Light Front Coherent State Formalism