论文

论文

An etude on recursion relations and triangulations
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论文题目: An etude on recursion relations and triangulations
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作者: He, Song; Yang, Qinglin
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刊物名称: JOURNAL OF HIGH ENERGY PHYSICS
: 2019
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: 5
: 40
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摘要: Following [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.
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