Scattering Amplitudes with Open Loops

TL;DR

This paper presents a novel open-loop technique for efficiently generating one-loop scattering amplitudes, enhancing speed, flexibility, and numerical stability for collider process predictions.

Contribution

It introduces the open-loop method, transforming tree algorithms into loop-momentum polynomial generators, improving computational performance and applicability in collider physics.

Findings

The open-loop approach is faster than traditional methods.

It offers high numerical stability in amplitude calculations.

Applicable to complex collider processes with improved efficiency.

Abstract

We introduce a new technique to generate scattering amplitudes at one loop. Traditional tree algorithms, which handle diagrams with fixed momenta, are promoted to generators of loop-momentum polynomials that we call open loops. Combining open loops with tensor-integral and OPP reduction results in a fully flexible, very fast, and numerically stable one-loop generator. As demonstrated with non-trivial applications, the open-loop approach will permit to obtain precise predictions for a very wide range of collider processes.