Covariant color-kinematics duality, Hopf algebras, and permutohedra

doi:10.1103/PhysRevD.107.026022

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Covariant color-kinematics duality, Hopf algebras, and permutohedra
	Cao, Qu 5; Dong, Jin ; He, Song 1,2,3; Zhang, Yao-Qi
刊名	PHYSICAL REVIEW D
	2023
卷号	107 期号:2 页码:26022
关键词	AMPLITUDES
ISSN号	2470-0010
DOI	10.1103/PhysRevD.107.026022
英文摘要	Based on the covariant color-kinematics duality, we investigate combinatorial and algebraic structures underlying their Bern-Carrasco-Johansson (BCJ) numerators of tree-level amplitudes in Yang-Mills-scalar (YMS) theory. The closed formulas for BCJ numerators of YMS amplitudes and the pure-YM ones exhibit nice quasishuffle Hopf algebra structures, and interestingly they can be viewed as summing over boundaries of all dimensions of a combinatorial permutohedron. In particular, the numerator with two scalars and n - 2 gluons contains Fubini number (Fn-2) of terms in one-to-one correspondence with boundaries of a (n - 3)-dimensional permutohedron, and each of them has its own spurious-pole structures and a gauge-invariant numerator (both depending on reference momenta). From such Hopf algebra or permutohedron structure, we derive new recursion relations for the numerators and intriguing factori-zation on each spurious pole/facet of the permutohedron. Similar results hold for general YMS numerators and the pure-YM ones. Finally, with a special choice of reference momenta, our results imply BCJ numerators in a heavy-mass effective field theory with two massive particles and n - 2 gluons/gravitons: we observe highly nontrivial cancellations in the heavy-mass limit, leading to new formulas for the effective numerators that resemble those obtained in recent works.
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/311006/27953]
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.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 3.Int Ctr Theoret Phys Asia Pacific, Beijing 100080, Peoples R China 4.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 6.Zhejiang Univ, Zhejiang Inst Modern Phys, Dept Phys, Hangzhou 310027, Peoples R China
推荐引用方式 GB/T 7714	Cao, Qu,Dong, Jin,He, Song,et al. Covariant color-kinematics duality, Hopf algebras, and permutohedra[J]. PHYSICAL REVIEW D,2023,107(2):26022.
APA	Cao, Qu,Dong, Jin,He, Song,&Zhang, Yao-Qi.(2023).Covariant color-kinematics duality, Hopf algebras, and permutohedra.PHYSICAL REVIEW D,107(2),26022.
MLA	Cao, Qu,et al."Covariant color-kinematics duality, Hopf algebras, and permutohedra".PHYSICAL REVIEW D 107.2(2023):26022.