Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators

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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).
URI:	https://repository.usc.edu.co/handle/20.500.12421/311
ISSN:	11266708
Appears in Collections:	Artículos Científicos

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