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He, Song1; Yang, QingLin
An etude on recursion relations and triangulations
AbstractFollowing [1], we derive a recursion relation by applying a one-parameter deformation of kinematic variables for tree-level scattering amplitudes in bi-adjoint phi(3) theory. The recursion relies on properties of the amplitude that can be made manifest in the underlying kinematic associahedron, and it provides triangulations for the latter. Furthermore, we solve the recursion relation and present all-multiplicity results for the amplitude: by reformulating the associahedron in terms of its vertices, it is given explicitly as a sum of volume of simplicies for any triangulation, which is an analogy of BCFW representation/triangulation of amplituhedron for N=4 SYM.
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
Indexed BySCIE
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Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
3.Univ Sci & Technol China, Sch Gifted Young, 96 Jinzhai Rd, Hefei 230026, Anhui, Peoples R China
Recommended Citation
GB/T 7714
He, Song,Yang, QingLin. An etude on recursion relations and triangulations[J]. JOURNAL OF HIGH ENERGY PHYSICS,2019(5):40.
APA He, Song,&Yang, QingLin.(2019).An etude on recursion relations and triangulations.JOURNAL OF HIGH ENERGY PHYSICS(5),40.
MLA He, Song,et al."An etude on recursion relations and triangulations".JOURNAL OF HIGH ENERGY PHYSICS .5(2019):40.
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