Feynman rules of higher-order poles in CHY construction

2016/04/25 by Rijun Huang, Bo Feng, M. X. Luo +2 · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Feynman diagram #First order #Mathematical physics #Mathematics #Numerical methods for differential equations #Order (exchange) #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #Philosophy #Simple (philosophy) #hep-th

paper · pdf · doi:10.1007/jhep06(2016)013

52 pages, 37 figures

arxiv created 2016/04/25 · openalex publication_date 2016/06/01 · arxiv updated 2016/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, we generalize the integration rules for scattering equations to situations where higher-order poles are present. We describe the strategy to deduce the Feynman rules of higher-order poles from known analytic results of simple CHY-integrands, and propose the Feynman rules for single double pole and triple pole as well as duplex-double pole and triplex-double pole structures. We demonstrate the validation and strength of these rules by ample non-trivial examples.

Cited by

• Quadratic Feynman loop integrands from massless scattering equations
• Analytic expressions of amplitudes by the cross-ratio identity method
• CHY loop integrands from holomorphic forms
• Cachazo-He-Yuan theory for several fields

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