One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations
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Date
2017-10-01
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Publisher
Springer Verlag
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. © 2017, The Author(s).
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Keywords
Differential and Algebraic Geometry, Scattering Amplitudes, Superstrings and Heterotic Strings