ITP OpenIR  > SCI期刊论文
He, Song1,2,3,4; Hou, Linghui1; Tian, Jintian1,3; Zhang, Yong1,5
Kinematic numerators from the worldsheet: cubic trees from labelled trees
AbstractIn 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.
Cooperation Status国际
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
Indexed BySCIE
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Document Type期刊论文
Affiliation1.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
Recommended Citation
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.
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