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  • Letter
  • Open Access

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

Jin Dong1,2, Yao-Qi Zhang1,2, and Yong Zhang3,4,*

  • 1CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 2School of Physical Sciences, University of Chinese Academy of Sciences, No.19A Yuquan Road, Beijing 100049, China
  • 3Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, Canada
  • 4School of Physical Science and Technology, Ningbo University, Ningbo 315211, China

  • *yzhang@perimeterinstitute.ca
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Phys. Rev. D 109, L101905 – Published 29 May, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L101905

Abstract

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.

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Physics Subject Headings (PhySH)

Corrections

21 March, 2025

Correction: Byline footnotes for the first two authors were included in error and have been removed.

Article Text

Supplemental Material

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Outline

Information

Phys. Rev. D 109, L101905– Published 29 May, 2024
  • Received 14 December 2023
  • Accepted 15 April 2024
  • Corrected 21 March 2025
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