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Title: CHY loop integrands from holomorphic forms
Authors: Gomez, Humberto
Mizer, Sebastian
Zhang, Guojun
Keywords: Differential and Algebraic Geometry
Scattering Amplitudes
Superstrings and Heterotic Strings
Issue Date: 1-Mar-2017
Publisher: Springer Verlag
Abstract: Recently, the Cachazo-He-Yuan (CHY) approach for calculating scattering amplitudes has been extended beyond tree level. In this paper, we introduce a way of constructing CHY integrands for Φ3 theory up to two loops from holomorphic forms on Riemann surfaces. We give simple rules for translating Feynman diagrams into the corresponding CHY integrands. As a complementary result, we extend the Λ-algorithm, originally introduced in arXiv:1604.05373, to two loops. Using this approach, we are able to analytically verify our prescription for the CHY integrands up to seven external particles at two loops. In addition, it gives a natural way of extending to higher-loop orders. © 2017, The Author(s).
ISSN: 11266708
Appears in Collections:Artículos Científicos

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