Some analytic results for two-loop scattering amplitudes

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.

18 pages

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Cited by in corpus (11)

• From polygons and symbols to polylogarithmic functions
• Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• Star Integrals, Convolutions and Simplices
• Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory
• Feynman Integrals and Scattering Amplitudes from Wilson Loops
• MHV Diagrams from an All-Line Recursion Relation
• Symbols of One-Loop Integrals From Mixed Tate Motives
• Higher loop mixed correlators in N=4 SYM
• Differential equations for multi-loop integrals and two-dimensional kinematics