One-loop BCJ Numerators on Quadratic Propagators from the Worldsheet
- Resource Type
- Working Paper
- Authors
- Dong, Jin; Zhang, Yao-Qi; Zhang, Yong
- Source
- Subject
- High Energy Physics - Theory
- Language
We introduce a novel approach for deriving one-loop Bern-Carrasco-Johansson (BCJ) numerators and reveal the worldsheet origin of the one-loop double copy. Our work shows that expanding Cachazo-He-Yuan half-integrands into generalized Parke-Taylor factors intrinsically generates BCJ numerators on quadratic propagators satisfying Jacobi identities. We validate our methodology by successfully reproducing one-loop BCJ numerators for Non-Linear Sigma Model as well as those of pure Yang-Mills in four dimensions with all-plus or single-minus helicities.
Comment: 5+7 pages, three figures