Abstract
In 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.
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Gomez, H., Lopez-Arcos, C. & Talavera, P. One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations. J. High Energ. Phys. 2017, 175 (2017). https://doi.org/10.1007/JHEP10(2017)175
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DOI: https://doi.org/10.1007/JHEP10(2017)175