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A simple formula for the infrared singular part of the integrand of one-loop QCD amplitudes

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arxiv 0912.1680 v2 pith:56CW2DYG submitted 2009-12-09 hep-ph

Mohammad Assadsolimani , Sebastian Becker , Stefan Weinzierl This is my paper
classification hep-ph
keywords amplitudesone-loopformulainfraredsimpleintegrandsingularunintegrated
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that a well-known simple formula for the explicit infrared poles of one-loop QCD amplitudes has a corresponding simple counterpart in unintegrated form. The unintegrated formula approximates the integrand of one-loop QCD amplitudes in all soft and collinear singular regions. It thus defines a local counter-term for the infrared singularities and can be used as an ingredient for the numerical calculation of one-loop amplitudes.

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    The paper constructs a locally finite two-loop amplitude integrand for photoproduction in quark annihilation, using momentum-flow symmetrization and an antisymmetric counterterm vertex to remove transient collinear si...

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