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

URL: http://www-spht.cea.fr/articles/T06/032 http://fr.arxiv.org/abs/hep-th/0604074International audienceWe 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