Kinematic Hopf algebra for amplitudes and form factors

doi:10.1103/PhysRevD.107.L081701

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	Kinematic Hopf algebra for amplitudes and form factors
	Chen, Gang ; Lin, Guanda 1; Wen, Congkao
刊名	PHYSICAL REVIEW D
	2023
卷号	107 期号:8 页码:L081701
ISSN号	2470-0010
DOI	10.1103/PhysRevD.107.L081701
英文摘要	We propose a kinematic algebra for the Bern-Carrasco-Johansson (BCJ) numerators of tree-level amplitudes and form factors in Yang-Mills theory coupled with biadjoint scalars. The algebraic generators of the algebra contain two parts: the first part is simply the flavor factor of the biadjoint scalars, and the second part that maps to nontrivial kinematic structures of the BCJ numerators obeys extended quasishuffle fusion products. The underlying kinematic algebra allows us to present closed forms for the BCJ numerators with any number of gluons and two or more scalars for both on-shell amplitudes and form factors that involve an off-shell operator. The BCJ numerators constructed in this way are manifestly gauge invariant and obey many novel relations that are inherited from the kinematic algebra.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/28011]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Queen Mary Univ London, Ctr Theoret Phys, Dept Phys & Astron, Mile End Rd, London E1 4NS, England 2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Gang,Lin, Guanda,Wen, Congkao. Kinematic Hopf algebra for amplitudes and form factors[J]. PHYSICAL REVIEW D,2023,107(8):L081701.
APA	Chen, Gang,Lin, Guanda,&Wen, Congkao.(2023).Kinematic Hopf algebra for amplitudes and form factors.PHYSICAL REVIEW D,107(8),L081701.
MLA	Chen, Gang,et al."Kinematic Hopf algebra for amplitudes and form factors".PHYSICAL REVIEW D 107.8(2023):L081701.