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arxiv: 0807.3493 · v1 · submitted 2008-07-22 · ✦ hep-ph

On the Cuts of Scattering Amplitudes

classification ✦ hep-ph
keywords amplitudescomplexintegralsscatteringanalysiscomputingconditionscontour
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The use of complex analysis for computing one-loop scattering amplitudes is naturally induced by generalised unitarity-cut conditions, fulfilled by complex values of the loop variable. We report on two techniques: the cut-integration with spinor-variables as contour integrals of rational functions; and the use of the Discrete Fourier Transform to optimize the reduction of tensor-integrals to master scalar integrals.

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