Some analytic results for two-loop scattering amplitudes

Details Some analytic results for two-loop scattering amplitudes Some analytic results for two-loop scattering amplitudes

2010-09-06

arxiv.org/abs/1009.1110v2

JHEP 1107:080,2011

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1007/JHEP07(2011)080

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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