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- W4366579077 abstract "We propose a kinematic algebra for the Bern-Carrasco-Johansson (BCJ) numerators of tree-level amplitudes and form factors in Yang-Mills theory coupled with bi-adjoint scalars. The algebraic generators of the algebra contain two parts: the first part is simply the flavour factor of the bi-adjoint scalars, and the second part that maps to non-trivial kinematic structures of the BCJ numerators obeys extended quasi-shuffle fusion products. The underlying kinematic algebra allows us to present closed forms for the BCJ numerators with any number of gluons and two or more scalars for both on-shell amplitudes and form factors that involve an off-shell operator. The BCJ numerators constructed in this way are manifestly gauge invariant and obey many novel relations that are inherited from the kinematic algebra." @default.
- W4366579077 created "2023-04-23" @default.
- W4366579077 creator A5017176162 @default.
- W4366579077 creator A5038402282 @default.
- W4366579077 creator A5073076526 @default.
- W4366579077 date "2023-04-19" @default.
- W4366579077 modified "2023-09-30" @default.
- W4366579077 title "Kinematic Hopf algebra for amplitudes and form factors" @default.
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- W4366579077 doi "https://doi.org/10.1103/physrevd.107.l081701" @default.