Friday, August 3, 2012

1208.0190 (Sam D. Alston et al.)

Complex Factorisation and Recursion for One-Loop Amplitudes    [PDF]

Sam D. Alston, David C. Dunbar, Warren B. Perkins
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.
View original: http://arxiv.org/abs/1208.0190

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