Work

Applying color-kinematics duality in pure Yang-Mills at three loops

Year: 2025

Type: article

Abstract: A bstract We present the first application of color-kinematics (CK) duality at the three-loop level in non-supersymmetric pure Yang-Mills (YM) theory. Building on the minimal deformation approach introduced in [1], we extend its use to the three-loop Sudakov form factor. Although three classes of unitarity cuts fail under the globally off-shell CK-dual ansatz, a compact and elegant solution is achieved by deforming a single master numerator. The final numerators exhibit Lorentz invariance in d dimensions and take a local form. This method harnesses CK duality’s full potential by enforcing a subset of off-shell dual Jacobi identities for the deformation, offering a promising path toward constructing three-loop amplitudes in non-supersymmetric YM theory and gravity through CK duality and double copy.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep02(2025)011

Authors: Zeyu Li, Gang Yang, Guorui Zhu

Institutions: Chinese Academy of Sciences, University of Chinese Academy of Sciences, International Centre for Theoretical Physics Asia-Pacific

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Chinese Academy of Sciences