Attacking One-loop Multi-leg Feynman Integrals with the Loop-Tree Duality

TL;DR

This paper presents the first numerical implementation of the Loop-Tree Duality method for calculating finite multi-leg one-loop Feynman integrals, demonstrating excellent performance for scalar and tensor integrals with up to six legs.

Contribution

It introduces a numerical approach using LTD for multi-leg one-loop integrals, extending its application to complex scalar and tensor integrals with up to six external legs.

Findings

LTD method effectively computes multi-leg one-loop integrals.

Performance remains excellent regardless of the number of external legs.

Applicable to both scalar and tensor integrals.

Abstract

We discuss briefly the first numerical implementation of the Loop-Tree Duality (LTD) method. We apply the LTD method in order to calculate ultraviolet and infrared finite multi-leg one-loop Feynman integrals. We attack scalar and tensor integrals with up to six legs (hexagons). The LTD method shows an excellent performance independently of the number of external legs.