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 rendered 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) over bar -> W+W-W+.

Optimizing the reduction of one-loop amplitudes

PITTAU, Roberto
2008-01-01

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 rendered 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) over bar -> W+W-W+.
2008
6
030
035
P. Mastrolia; G. Ossola; C. G. Papadopoulos; R. Pittau
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/45724
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