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arxiv: 1208.0190 · v1 · submitted 2012-08-01 · ✦ hep-th

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Complex Factorisation and Recursion for One-Loop Amplitudes

Sam D. Alston , David C. Dunbar , Warren B. Perkins
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classification ✦ hep-th
keywords one-loopamplitudescomplexfactorisationabsentamplitudeansatzansatze
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We consider the factorisation of one-loop amplitudes at complex kinematic points. By determining the terms that are absent for real kinematics, we can construct a recursive ansatz for the purely rational pieces of one-loop amplitudes in massless theories. We illustrate this method by verifying the Bern et.al. n-point ansatze for the single-minus one-loop amplitudes in Yang-Mills theory and by constructing the scalar contribution to the one-loop five graviton MHV scattering amplitude.

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