Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

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).