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Complex Factorisation and Recursion for One-Loop Amplitudes

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.

preprint2012arXivOpen access
Sam D. AlstonDavid C. DunbarWarren B. Perkins
hep-th
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Sam D. AlstonDavid C. DunbarWarren B. Perkins

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