SymBuild: a package for the computation of integrable symbols in scattering amplitudes

TL;DR

SymBuild is a Mathematica package that efficiently computes and manipulates integrable symbols in high-energy scattering amplitudes, leveraging Gr"obner bases and C++ integration for high-weight calculations.

Contribution

The paper introduces SymBuild, a novel package that advances the computation of integrable symbols in scattering amplitudes using new algorithms and software integration.

Findings

Successfully computes integrable symbols in large alphabets including roots.

Handles high-weight symbols with improved efficiency.

Facilitates complex amplitude calculations in high-energy physics.

Abstract

The article presents and documents the Mathematica package SymBuild. This package implements the computation and manipulation of integrable symbols appearing in various calculations in high-energy scattering amplitudes. By using Gr\"obner bases, implementing various simplifications and by the potential utilization of the C++ program SpaSM, integrable symbols in a large class of alphabets (including roots) can be computed to high weights.