Speaker
Prof.
Lance Dixon
(SLAC National Accelerator Laboratory (US))
Description
Scattering amplitudes in N=4 Super-Yang-Mills theory are tightly constrained by several general principles: Dual (super)conformal invariance, an operator product expansion for the leading singularity, discrete symmetries, the properties of transcendental functions, and various kinematic limits. Remarkably, these onstraints can be combined to almost completely determine the six-gluon scattering amplitude at three loops, as well as provide important information beyond three loops, without ever directly evaluating any loop integrands or loop integrals. The general constraints work in synergy with those arising in a specific limit --- multi-Regge-kinematics for high-energy scattering --- and shed new light on this limit.
Author
Prof.
Lance Dixon
(SLAC National Accelerator Laboratory (US))