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On the solutions of the scattering equations

By Germany D-55099 Mainz Johannes Gutenberg-Universität Mainz Institut für Physik Stefan WeinzierlPRISMA Cluster of Excellence

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

Year: 2014
DOI identifier: 10.1007/JHEP04(2014)092
OAI identifier: oai:www.openaccessrepository.it:9264

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