Next-to-MHV Yang-Mills kinematic algebra

Understand

Kinematic numerators of Yang-Mills scattering amplitudes possess a rich Lie algebraic structure that suggest the existence of a hidden infinite-dimensional kinematic algebra.

• Explicitly realizing such a kinematic algebra is a longstanding open problem that only has had partial success for simple helicity sectors.
• In past work, we introduced a framework using tensor currents and fusion rules to generate BCJ numerators of a special subsector of NMHV amplitudes in Yang-Mills theory.
• Here we enlarge the scope and explicitly realize a kinematic algebra for all NMHV amplitudes.