Two-loop iteration of five-point N=4 super-Yang-Mills amplitudes

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 Czakon [Comput. Phys. Commun. 175, 559 (2006)CPHCBZ0010-465510.1016/j.cpc.2006.07.002]. This confirmation of the iteration relation provides further evidence suggesting that N=4 gauge theory is solvable.