Two-Loop Amplitude Reduction with HELAC

TL;DR

This paper presents advancements in the Helac framework for automating the calculation of two-loop amplitudes, including a new algorithm for integrand generation and initial ideas for reduction to master integrals.

Contribution

It introduces a comprehensive algorithm for two-loop integrand computation and explores a novel approach for reducing two-loop amplitudes to master integrals.

Findings

Developed an automated algorithm for two-loop integrand generation

Extended Helac to handle two-loop amplitude calculations

Proposed initial methods for amplitude reduction to master integrals

Abstract

We discuss recent progress towards extending the Helac framework to the calculation of two-loop amplitudes. A general algorithm for the automated computation of two-loop integrands is described. The algorithm covers all the steps of the computation, from the generation of loop topologies up to the construction of recursion relations for two loop integrands. Finally, first steps towards the formulation of a new approach for reducing two-loop amplitudes to a basis of master integrals are discussed.