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arXiv · 1802.00015

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

Naser Ahmadiniaz·Humberto Gomez·Cristhiam Lopez-Arcos
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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 $Φ^3$ 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.

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Naser Ahmadiniaz, Humberto Gomez, Cristhiam Lopez-Arcos. 2018-02-09. Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators. https://doi.org/10.1007/jhep05(2018)055

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