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Optimizing the reduction of one-loop amplitudes

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Published 10 June 2008 Published under licence by IOP Publishing Ltd
, , Citation P. Mastrolia et al JHEP06(2008)030 DOI 10.1088/1126-6708/2008/06/030

1126-6708/2008/06/030

Abstract

We present an optimization of the reduction algorithm of one-loop amplitudes in terms of master integrals. It is based on the exploitation of the polynomial structure of the integrand when evaluated at values of the loop-momentum fulfilling multiple cut-conditions, as emerged in the OPP-method. The reconstruction of the polynomials, needed for the complete reduction, is rendered very versatile by using a projection-technique based on the Discrete Fourier Transform. The novel implementation is applied in the context of the NLO QCD corrections to ubar d → W+W−W+.

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10.1088/1126-6708/2008/06/030