Towards a Numerical Implementation of the Loop-Tree Duality Method

TL;DR

This paper reviews recent advances in numerically implementing the Loop-Tree Duality Method for scattering amplitudes, focusing on singularity analysis and contour deformation techniques to improve computational accuracy.

Contribution

It introduces a detailed approach for handling integrand singularities in LTDM and demonstrates initial successful results in numerical calculations.

Findings

Singularities partially cancel in LTDM

Contour deformation effectively manages remaining singularities

Initial numerical results show promise for the method's viability

Abstract

We review the recent progress on the numerical implementation of the Loop-Tree Duality Method (LTDM) for the calculation of scattering amplitudes. A central point is the analysis of the singularities of the integrand. In the framework of the LTDM some of these singularities cancel out. The ones left over are dealt with by contour deformation. We present details on how to achieve this as well as first results.