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Some analytic results for two-loop scattering amplitudes

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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 \( \mathcal{N} = 4 \) 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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Authors and Affiliations

  1. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.

    Luis F. Alday

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  1. Luis F. Alday
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Correspondence to Luis F. Alday.

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ArXiv ePrint: 1009.1110

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Alday, L.F. Some analytic results for two-loop scattering amplitudes. J. High Energ. Phys. 2011, 80 (2011). https://doi.org/10.1007/JHEP07(2011)080

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  • DOI: https://doi.org/10.1007/JHEP07(2011)080

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