title: Singularity structure of maximally supersymmetric scattering amplitudes.
abstract: We present evidence that loop amplitudes in maximally supersymmetric (N=4) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full N=4 SYM has only logarithmic singularities and is free of any poles at infinity--properties closely related to uniform transcendentality and the UV finiteness of the theory. We also briefly comment on implications for maximal (N=8) supergravity theory (SUGRA).
authors.affiliation: School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540, USA.
authors.forename: Nima
authors.initials: N
authors.lastname: Arkani-Hamed
authors.affiliation: Niels Bohr International Academy and Discovery Center, Copenhagen DK-2100, Denmark.
authors.forename: Jacob L
authors.initials: JL
authors.lastname: Bourjaily
authors.affiliation: Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
authors.forename: Freddy
authors.initials: F
authors.lastname: Cachazo
authors.affiliation: Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA.
authors.forename: Jaroslav
authors.initials: J
authors.lastname: Trnka