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

Z. Bern , M. Czakon , David A Kosower (1) , R. Roiban , V.A. Smirnov

1 SPhT - Service de Physique Théorique

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.

Domaines: Physique Générale [physics.gen-ph]

Z. Bern, M. Czakon, David A Kosower, R. Roiban, V.A. Smirnov. Two-Loop Iteration of Five-Point ${\cal N}=4$ Super-Yang-Mills Amplitudes. Physical Review Letters, 2006, 97, pp.181601-. ⟨10.1103/PhysRevLett.97.181601⟩. ⟨hal-00165359⟩