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.
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Ahmadiniaz, N., Gomez, H. & Lopez-Arcos, C. Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators. J. High Energ. Phys. 2018, 55 (2018). https://doi.org/10.1007/JHEP05(2018)055
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DOI: https://doi.org/10.1007/JHEP05(2018)055