Master thesis defense by Yuchan Miao
Kinematic Hopf Algebra in Scattering Amplitudes
Recent research has revealed that the kinematic algebra underlying the colour-kinematics duality for tree-level scattering amplitudes in heavy-mass effective field
Upon investigating the corresponding evaluation map, the kinematic algebra generators are realized as on-shell QCD currents and we have discovered the universality of the quasi-shuffle Hopf algebra in all theories. We present the closed form expression of the corresponding QCD BCJ numerator, which in our approach is manifestly gauge invariant and comprises only physical massive poles. In addition, we propose two novel recursive relations for the corresponding BCJ numerator. These