CHY loop integrands from holomorphic forms

dc.contributor.authorGomez, Humberto
dc.contributor.authorMizer, Sebastian
dc.contributor.authorZhang, Guojun
dc.date.accessioned2019-07-08T22:17:38Z
dc.date.available2019-07-08T22:17:38Z
dc.date.issued2017-03-01
dc.description.abstractRecently, 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).en_US
dc.identifier.issn11266708
dc.identifier.urihttps://repositorio.usc.edu.co/handle/20.500.12421/281
dc.language.isoenen_US
dc.publisherSpringer Verlagen_US
dc.subjectDifferential and Algebraic Geometryen_US
dc.subjectScattering Amplitudesen_US
dc.subjectSuperstrings and Heterotic Stringsen_US
dc.titleCHY loop integrands from holomorphic formsen_US
dc.typeArticleen_US

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