Scattering Equations and a new Factorization for Amplitudes I: Gauge Theories
Abstract
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). Finally, as a byproduct, we show that the soft limit in the CHY approach, at leading order, becomes trivial by using the technology described in this paper.
Keywords
Cite
@article{arxiv.1810.05407,
title = {Scattering Equations and a new Factorization for Amplitudes I: Gauge Theories},
author = {Humberto Gomez},
journal= {arXiv preprint arXiv:1810.05407},
year = {2019}
}
Comments
50+7 pages and typos fixed. Some modifications were made to improve the text