Optimizing the Reduction of One-Loop Amplitudes

TL;DR

This paper introduces an optimized reduction algorithm for one-loop amplitudes that leverages polynomial structures and Fourier transforms, improving the efficiency of NLO QCD calculations for complex processes.

Contribution

It presents a new, versatile polynomial reconstruction method using Discrete Fourier Transform techniques within the OPP framework for one-loop amplitude reduction.

Findings

Enhanced reduction efficiency for one-loop amplitudes

Successful application to NLO QCD corrections of u d-bar --> W+ W- W+

Improved versatility in polynomial reconstruction methods

Abstract

We present an optimization of the reduction algorithm of one-loop amplitudes in terms of master integrals. It is based on the exploitation of the polynomial structure of the integrand when evaluated at values of the loop-momentum fulfilling multiple cut-conditions, as emerged in the OPP-method. The reconstruction of the polynomials, needed for the complete reduction, is rended very versatile by using a projection-technique based on the Discrete Fourier Transform. The novel implementation is applied in the context of the NLO QCD corrections to u d-bar --> W+ W- W+.