Optimizing the Reduction of One-Loop Amplitudes

Understand

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+.