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Two-Loop Iteration of Five-Point ${\cal N}=4$ Super-Yang-Mills Amplitudes

Abstract : We confirm by explicit computation the conjectured all-orders iteration of planar maximally supersymmetric ${\cal N}=4$ 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 M.~Czakon (hep-ph/0511200). This confirmation of the iteration relation provides further evidence suggesting that ${\cal N}=4$ gauge theory is solvable.
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Submitted on : Wednesday, July 25, 2007 - 5:06:18 PM
Last modification on : Wednesday, September 12, 2018 - 2:14:04 PM
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Z. Bern, M. Czakon, David Kosower, R. Roiban, V.A. Smirnov. Two-Loop Iteration of Five-Point ${\cal N}=4$ Super-Yang-Mills Amplitudes. Physical Review Letters, American Physical Society, 2006, 97, pp.181601-. ⟨10.1103/PhysRevLett.97.181601⟩. ⟨hal-00165359⟩

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