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Title: Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators
Authors: Ahmadiniaz, Naser
Gomez, Humberto
Lopez-Arcos, Cristhiam
Keywords: Differential and Algebraic Geometry
Scattering Amplitudes
Superstrings and Heterotic Strings
Issue Date: 1-May-2018
Publisher: Springer Verlag
Abstract: In this work we have studied the Kleiss-Kuijf relations for the recently introduced Parke-Taylor factors at one-loop in the CHY approach, that reproduce quadratic Feynman propagators. By doing this, we were able to identify the non-planar one-loop Parke-Taylor factors. In order to check that, in fact, these new factors can describe non-planar amplitudes, we applied them to the bi-adjoint Φ3 theory. As a byproduct, we found a new type of graphs that we called the non-planar CHY-graphs. These graphs encode all the information for the subleading order at one-loop, and there is not an equivalent of these in the Feynman formalism. © 2018, The Author(s).
ISSN: 11266708
Appears in Collections:Artículos Científicos

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