A Monte Carlo approach to the 4D scattering equations

Farrow, Joseph A.

Abstract

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.

Citation

Farrow, J. A. (2018). A Monte Carlo approach to the 4D scattering equations. Journal of High Energy Physics, 2018(8), Article 85. https://doi.org/10.1007/jhep08%282018%29085

• 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
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 8
• Article Number: 85
• DOI: https://doi.org/10.1007/jhep08%282018%29085
• Public URL: https://durham-repository.worktribe.com/output/1322387