Feynman integrals and iterated integrals on moduli spaces of curves of genus zero

TL;DR

This paper develops algorithms for exact symbolic computation of period integrals on moduli spaces of genus zero curves, with applications to calculating Feynman integrals in quantum field theory.

Contribution

It introduces new algorithms for symbolic computation of period integrals on moduli spaces and applies them to Feynman integral calculations.

Findings

Algorithms successfully compute period integrals symbolically.

Applications demonstrate improved Feynman integral evaluations.

Potential for advancing symbolic methods in mathematical physics.

Abstract

This paper describes algorithms for the exact symbolic computation of period integrals on moduli spaces $\mathcal{M}_{0,n}$ of curves of genus $0$ with $n$ ordered marked points, and applications to the computation of Feynman integrals.