Work

Kinematic Hopf algebra and Bern-Carrasco-Johansson numerators at finite α ′

Year: 2024

Type: article

Abstract: We significantly extend recent work on the kinematic Hopf algebra, a structure that was shown to underlie the color-kinematics duality in Yang-Mills (YM) theory coupled to two heavy scalars, known as the heavy-mass effective theory (HEFT) limit. First, staying in the HEFT limit, we show the same kinematic Hopf algebra can be used to obtain Bern-Carrasco-Johansson (BCJ) numerators in DF 2 + YM theory, a theory containing an infinite number of higher derivative corrections to YM, used to obtain string amplitudes via the double copy. Second, we exploit the intricate structure induced by the massive poles to obtain an efficient and direct expression for local BCJ numerators in pure YM based on the same kinematic Hopf algebra. This demonstrates that the kinematic Hopf algebra works even beyond the HEFT limit, strongly suggesting this structure universally underlies the color-kinematics duality. Published by the American Physical Society 2024

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.110.l041902

Authors: Gang Chen, Laurentiu Rodina, Congkao Wen

Institutions: University of Copenhagen, Beijing Institute of Mathematical Sciences and Applications, Queen Mary University of London

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Royal Society, European Commission, Science and Technology Facilities Council, H2020 Marie Skłodowska-Curie Actions