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arXiv · 1402.2516

On the solutions of the scattering equations

Stefan Weinzierl
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Abstract

This paper addresses the question, whether the solutions of the scattering equations in four space-time dimensions can be expressed as rational functions of the momentum twistor variables. This is the case for $n\le5$ external particles. For general $n$ there are always two solutions, which are rational functions of the momentum twistor variables. However, the remaining solutions are in general not rational. In the case $n=6$ the remaining four solutions can be expressed as algebraic functions. These four solutions are constructed explicitly in this paper.

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Stefan Weinzierl. 2014-03-13. On the solutions of the scattering equations. https://doi.org/10.1007/jhep04(2014)092

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