Browsing by Author "Lopez-Arcos, Cristhiam"
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Item Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators(Springer Verlag, 2018-05-01) Ahmadiniaz, Naser; Gomez, Humberto; Lopez-Arcos, CristhiamIn 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).Item One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations(Springer Verlag, 2017-10-01) Gomez, Humberto; Lopez-Arcos, Cristhiam; Talavera, PedroIn this paper we reconsider the Cachazo-He-Yuan construction (CHY) of the so called scattering amplitudes at one-loop, in order to obtain quadratic propagators. In theories with colour ordering the key ingredient is the redefinition of the Parke-Taylor factors. After classifying all the possible one-loop CHY-integrands we conjecture a new one-loop amplitude for the massless Bi-adjoint Φ3 theory. The prescription directly reproduces the quadratic propagators of the traditional Feynman approach. © 2017, The Author(s).