Scattering Equations and a new Factorization for Amplitudes I: Gauge Theories

Understand

In this work we show how a double-cover (DC) extension of the Cachazo, He and Yuan formalism (CHY) can be used to provide a new realization for the factorization of the amplitudes involving gluons and scalar fields.

• First, we propose a graphic representation for a color-ordered Yang-Mills (YM) and special Yang-Mills-Scalar (YMS) amplitudes within the scattering equation formalism.
• Using the DC prescription, we are able to obtain an algorithm (integration-rules) which decomposes amplitudes in terms of three-point building-blocks.
• It is important to remark that the pole structure of this method is totally different to ordinary factorization (which is a consequence of the scattering equations).