MatchingTools: a Python library for symbolic effective field theory calculations

TL;DR

MatchingTools is a Python library that facilitates symbolic calculations in effective field theories, enabling model construction, tree-level integration of heavy particles, and simplification of resulting Lagrangians.

Contribution

It introduces a comprehensive Python toolkit for symbolic EFT calculations, including model building, particle integration, and operator basis transformations.

Findings

Automates tree-level integration of heavy particles.

Provides functions for rewriting Lagrangian terms in chosen operator bases.

Enables symbolic manipulation of effective field theories.

Abstract

MatchingTools is a Python library for doing symbolic calculations in effective field theory. It provides the tools to construct general models by defining their field content and their interaction Lagrangian. Once a model is given, the heavy particles can be integrated out at the tree level to obtain an effective Lagrangian in which only the light particles appear. After integration, some of the terms of the resulting Lagrangian might not be independent. MatchingTools contains functions for transforming these terms to rewrite them in terms of any chosen set of operators.