Multi-gluon one-loop amplitudes using tensor integrals

TL;DR

This paper introduces a numerical algorithm for evaluating one-loop amplitudes in QCD using tensor integrals, demonstrating competitive performance for up to 10 external legs.

Contribution

It presents a new efficient numerical method for one-loop amplitude calculations based on tensor integrals, applicable to multi-gluon processes.

Findings

Algorithm is efficient for up to 10 external legs

Performance is competitive with existing methods

Applicable to ordered QCD amplitudes

Abstract

An efficient numerical algorithm to evaluate one-loop amplitudes using tensor integrals is presented. In particular, it is shown by explicit calculations that for ordered QCD amplitudes with a number of external legs up to 10, its performance is competitive with other methods.