Integrand reduction beyond one-loop calculations

TL;DR

This paper reviews the extension of integrand-reduction techniques from one-loop to multi-loop calculations, aiming to improve the efficiency of Feynman integral evaluations in quantum field theory.

Contribution

It discusses the generalization of integrand-reduction methods beyond one loop, highlighting recent efforts and their potential to develop more efficient computational techniques.

Findings

Enhanced understanding of universal properties of scattering amplitudes

Progress in generalizing integrand reduction to all loops

Potential for more efficient Feynman integral evaluations

Abstract

In this presentation, we review the general features of integrand-reduction techniques, with a particular focus on their generalization beyond one loop. We start with a brief discussion of the one-loop scenario, a case in which integrand-reduction algorithms are well established and played over the past decade an important role in the development of automated tools for the theoretical evaluation of physical observables. The generalization of integrand-reduction techniques to all loops has been the subject of several efforts in the recent past, thus providing a better understanding of the universal properties of scattering amplitudes. The ultimate goal of these studies is the development of efficient alternative computational techniques for the evaluation of Feynman integrals beyond one loop.