Kinematic numerators from the worldsheet: cubic trees from labelled trees

doi:10.1007/JHEP08(2021)118

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	Kinematic numerators from the worldsheet: cubic trees from labelled trees
	He, Song 1,2,3,4; Hou, Linghui 1; Tian, Jintian 1,3; Zhang, Yong 1,5
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2021
期号	8 页码:118
关键词	AMPLITUDES REPRESENTATIONS
ISSN号	1029-8479
DOI	10.1007/JHEP08(2021)118
英文摘要	In this note we revisit the problem of explicitly computing tree-level scattering amplitudes in various theories in any dimension from worldsheet formulas. The latter are known to produce cubic-tree expansion of tree amplitudes with kinematic numerators automatically satisfying Jacobi-identities, once any half-integrand on the worldsheet is reduced to logarithmic functions. We review a natural class of worldsheet functions called "Cayley functions", which are in one-to-one correspondence with labelled trees, and natural expansions of known half-integrands onto them with coefficients that are particularly compact building blocks of kinematic numerators. We present a general formula expressing kinematic numerators of all cubic trees as linear combinations of coefficients of labelled trees, which satisfy Jacobi identities by construction and include the usual combinations in terms of master numerators as a special case. Our results provide an efficient algorithm, which is implemented in a MATHEMATICA package, for computing all tree amplitudes in theories including non-linear sigma model, special Galileon, Yang-Mills-scalar, Einstein-Yang-Mills and Dirac-Born-Infeld.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27374]
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.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 3.ICTP AP Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 5.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 6.Uppsala Univ, Dept Phys & Astron, S-75108 Uppsala, Sweden
推荐引用方式 GB/T 7714	He, Song,Hou, Linghui,Tian, Jintian,et al. Kinematic numerators from the worldsheet: cubic trees from labelled trees[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(8):118.
APA	He, Song,Hou, Linghui,Tian, Jintian,&Zhang, Yong.(2021).Kinematic numerators from the worldsheet: cubic trees from labelled trees.JOURNAL OF HIGH ENERGY PHYSICS(8),118.
MLA	He, Song,et al."Kinematic numerators from the worldsheet: cubic trees from labelled trees".JOURNAL OF HIGH ENERGY PHYSICS .8(2021):118.