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arXiv · 1009.1110

Some analytic results for two-loop scattering amplitudes

Luis F. Alday
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Abstract

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 expressed as simple combinations of classical polylogarithms.

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Luis F. Alday. 2011-05-17. Some analytic results for two-loop scattering amplitudes. https://doi.org/10.1007/jhep07(2011)080

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