RationalizeRoots: Software Package for the Rationalization of Square Roots

TL;DR

RationalizeRoots is a software tool designed to find variable transformations that rationalize square roots in Feynman integral computations, facilitating solutions in terms of multiple polylogarithms.

Contribution

The paper introduces RationalizeRoots, a novel software package that automates the rationalization of square roots in Feynman integrals, based on theoretical insights and practical implementation.

Findings

Successfully rationalizes square roots in example Feynman integrals.

Enables expression of solutions in terms of multiple polylogarithms.

Provides a practical tool for simplifying complex integral computations.

Abstract

The computation of Feynman integrals often involves square roots. One way to obtain a solution in terms of multiple polylogarithms is to rationalize these square roots by a suitable variable change. We present a program that can be used to find such transformations. After an introduction to the theoretical background, we explain in detail how to use the program in practice.