Internal Reduction method for computing Feynman Integrals

TL;DR

This paper introduces a novel method for calculating Feynman Integrals using integral representations, successfully applying it to complex non-planar two-loop five-point integrals relevant for high-energy physics experiments.

Contribution

It presents a new integral representation approach for Feynman Integrals and provides the first results for a specific non-planar five-point two-loop family.

Findings

First results for non-planar five-point two-loop Master Integrals.

Applicable to Euclidean and physical kinematic regions.

Relevant for LHC Higgs plus jets production.

Abstract

A new approach to compute Feynman Integrals is presented. It relies on an integral representation of a given Feynman Integral in terms of simpler ones. Using this approach, we present, for the first time, results for a certain family of non-planar five-point two-loop Master Integrals with one external off-shell particle, relevant for instance for $H+2$ jets production at the LHC, in both Euclidean and physical kinematical regions.