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A Monte Carlo approach to the 4D scattering equations

Farrow, Joseph A.

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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 Mathematica package for calculating amplitudes by solving the scattering equations, supporting MHV analytical and Nk − 2MHV 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.


Farrow, J. A. (2018). A Monte Carlo approach to the 4D scattering equations. Journal of High Energy Physics, 2018(8), Article 85.

Journal Article Type Article
Acceptance Date Aug 5, 2018
Online Publication Date Aug 14, 2018
Publication Date Aug 14, 2018
Deposit Date Aug 22, 2018
Publicly Available Date Aug 22, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2018
Issue 8
Article Number 85


Published Journal Article (573 Kb)

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Copyright Statement
This article is distributed under the terms of the Creative Commons<br /> Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in<br /> any medium, provided the original author(s) and source are credited.

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