A Monte Carlo Approach to the 4D Scattering Equations
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 {\tt treeamps4dJAF}, the first publicly available {\sc Mathematica} package for calculating amplitudes by solving the scattering equations, supporting MHV analytical and NMHV 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.
Cite
@article{arxiv.1806.02732,
title = {A Monte Carlo Approach to the 4D Scattering Equations},
author = {Joseph A. Farrow},
journal= {arXiv preprint arXiv:1806.02732},
year = {2018}
}
Comments
40 pages, 6 figures