Some analytic results for two-loop scattering amplitudes

We present analytic results for the finite diagrams contributing to the two-loop eight-point MHV scattering amplitude of planar N = 4 SYM. We use a recently proposed representation for the integrand of the amplitude in terms of (momentum) twistors and focus on a restricted kinematics in which the an...

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Bibliographic Details
Main Author: Alday, L
Format: Journal article
Language:English
Published: 2011
Description
Summary:We present analytic results for the finite diagrams contributing to the two-loop eight-point MHV scattering amplitude of planar N = 4 SYM. We use a recently proposed representation for the integrand of the amplitude in terms of (momentum) twistors and focus on a restricted kinematics in which the answer depends only on two independent cross-ratios. The theory of motives can be used to vastly simplify the results, which can be xpressed as simple combinations of classical polylogarithms. © SISSA 2011.