MPL - a program for computations with iterated integrals on moduli spaces of curves of genus zero

TL;DR

MPL is a Maple-based software tool designed to compute homotopy invariant iterated integrals on moduli spaces of genus zero curves, facilitating advanced mathematical and Feynman integral calculations.

Contribution

The paper introduces MPL, a novel computer program implementing algorithms for iterated integrals on moduli spaces, enabling automated computations in mathematical physics.

Findings

Supports computation of period integrals on $\\mathcal{M}_{0,n}$

Automates calculations of certain Feynman integrals

Includes symbol map and analytic procedures

Abstract

We introduce the computer program MPL for computations with homotopy invariant iterated integrals on moduli spaces $\mathcal{M}_{0,n}$ of curves of genus 0 with $n$ ordered marked points. The program is an implementation of the algorithms presented in [13], based on Maple. It includes the symbol map and procedures for the analytic computation of period integrals on $\mathcal{M}_{0,n}.$ It supports the automated computation of a certain class of Feynman integrals.