One-loop Bern-Carrasco-Johansson numerators on quadratic propagators from the worldsheet

We introduce a novel approach for deriving one-loop Bern-Carrasco-Johansson (BCJ) numerators and reveal the world-sheet 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 qu...

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Bibliographic Details
Published in:Physical review. D 2024-05, Vol.109 (10), Article L101905
Main Authors: Dong, Jin, Zhang, Yao-Qi, Zhang, Yong
Format: Article
Language:English
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Summary:We introduce a novel approach for deriving one-loop Bern-Carrasco-Johansson (BCJ) numerators and reveal the world-sheet 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 the nonlinear sigma model as well as those of pure Yang-Mills theory in four dimensions with all-plus or single-minus helicities.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.109.L101905