Recursive reduction of two-loop tensor integrals

TL;DR

This paper introduces a new recursive algorithm to numerically reduce complex two-loop tensor integrals to scalar integrals, enhancing precision calculations for collider physics.

Contribution

It presents a novel recursive method for the numerical reduction of two-loop tensor integrals, extending techniques used in one-loop computations.

Findings

Efficient reduction of two-loop tensor integrals demonstrated

Algorithm applicable to a wide range of processes

Improves precision in collider physics calculations

Abstract

In order to meet the precision requirements for the LHC and future colliders, next-to-next-to-leading order corrections to a wide range of processes are essential, making general automated tools highly desirable. Extending the strategy of the widespread one-loop program OpenLoops to two loops, there are three major ingredients: process-dependent tensor coefficients, tensor integrals, and process-independent counterterms. In these proceedings, we focus on the second part and present a new recursive algorithm to reduce arbitrary two-loop tensor integrals to scalar integrals numerically.