Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

TY - JOUR

T1 - Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

AU - Arkani-Hamed, Nima

AU - Bourjaily, Jacob L.

AU - Cachazo, Freddy

AU - Trnka, Jaroslav

PY - 2014/12/29

Y1 - 2014/12/29

N2 - 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).

AB - 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).

U2 - 10.1103/PhysRevLett.113.261603

DO - 10.1103/PhysRevLett.113.261603

M3 - Journal article

C2 - 25615304

SN - 0031-9007

VL - 113

JO - Physical Review Letters

JF - Physical Review Letters

IS - 26

M1 - 261263

ER -