On the solutions of the scattering equations
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 ≤ 5 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.
KeywordsScattering Amplitudes QCD
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