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 ≤ 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.
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ArXiv ePrint: 1402.2516
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Weinzierl, S. On the solutions of the scattering equations. J. High Energ. Phys. 2014, 92 (2014). https://doi.org/10.1007/JHEP04(2014)092
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DOI: https://doi.org/10.1007/JHEP04(2014)092