A Monte Carlo approach to the 4D scattering equations

A bstract The scattering equation formalism is a general framework for calculation of amplitudes in theories of massless particles. We provide a detailed introduction to the 4D scattering equation framework accessible to non-experts, outline current difficulties solving the equations numerically, an...

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Veröffentlicht in:The journal of high energy physics 2018-08, Vol.2018 (8), p.1-35, Article 85
1. Verfasser: Farrow, Joseph A.
Format: Artikel
Sprache:eng
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Zusammenfassung:A bstract The scattering equation formalism is a general framework for calculation of amplitudes in theories of massless particles. We provide a detailed introduction to the 4D scattering equation framework accessible to non-experts, outline current difficulties solving the equations numerically, and explain how to overcome them with a Monte Carlo algorithm. With this submission we include treeamps4dJAF, the first publicly available M athematica package for calculating amplitudes by solving the scattering equations, supporting MHV analytical and N k − 2 MHV numerical computations. The package provides a powerful and flexible computational tool for calculating tree-level amplitudes in super Yang Mills theories, Einstein supergravity and conformal supergravity. We tabulate sets of numerical solutions up to 9 points in all MHV sectors and 12 points in the NHMV sector which can be used for fast evaluation of amplitudes.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2018)085