Random polarisations of the dipoles

Abstract

We extend the dipole formalism for massless and massive partons to random polarisations of the external partons. The dipole formalism was originally formulated for spin-summed matrix elements and later extended to individual helicity eigenstates. For efficiency reasons one wants to replace the spin sum by a smooth integration over additional variables. This requires the extension of the dipole formalism to random polarisations. In this paper we derive the modified subtraction terms. We only modify the real subtraction terms, the integrated subtraction terms do not require any modifications.

22 pages, version to be published

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Cited by in corpus (8)

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• Direct contour deformation with arbitrary masses in the loop
• Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations
• Numerical integration of subtraction terms
• Nagy-Soper subtraction scheme for multiparton final states
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• A Forward Branching Phase Space Generator for Hadron colliders
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