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Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes

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arxiv hep-th/0604074 v1 pith:SXS6HWKI submitted 2006-04-10 hep-th

classification hep-th
keywords iterationamplitudesfive-pointtheorytwo-loopall-ordersautomatedcase
verification ladder T0 review T1 audit T2 compute T3 formal

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We confirm by explicit computation the conjectured all-orders iteration of planar maximally supersymmetric N=4 Yang-Mills theory in the nontrivial case of five-point two-loop amplitudes. We compute the required unitarity cuts of the integrand and evaluate the resulting integrals numerically using a Mellin--Barnes representation and the automated package of ref.~[1]. This confirmation of the iteration relation provides further evidence suggesting that N=4 gauge theory is solvable.

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  1. Collinear anatomy

    hep-th 2024-12 conditional novelty 7.0 of 10

    Derives a collinear factorization formula for near-mass-shell amplitudes in N=4 SYM, including a new ultrasoft correction to the one-loop splitting amplitude.

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