Optimizing the Reduction of One-Loop Amplitudes

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...

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Detalles Bibliográficos
Autores principales: Mastrolia, P., Ossola, G., Papadopoulos, C.G., Pittau, R.
Lenguaje:eng
Publicado: 2008
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2008/06/030
http://cds.cern.ch/record/1096342
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author Mastrolia, P.
Ossola, G.
Papadopoulos, C.G.
Pittau, R.
author_facet Mastrolia, P.
Ossola, G.
Papadopoulos, C.G.
Pittau, R.
author_sort Mastrolia, P.
collection CERN
description 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+.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-10963422023-03-12T04:45:31Zdoi:10.1088/1126-6708/2008/06/030http://cds.cern.ch/record/1096342engMastrolia, P.Ossola, G.Papadopoulos, C.G.Pittau, R.Optimizing the Reduction of One-Loop AmplitudesParticle Physics - PhenomenologyWe 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+.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+.arXiv:0803.3964CERN-PH-TH-2008-057CERN-PH-TH-2008-057oai:cds.cern.ch:10963422008-03-28
spellingShingle Particle Physics - Phenomenology
Mastrolia, P.
Ossola, G.
Papadopoulos, C.G.
Pittau, R.
Optimizing the Reduction of One-Loop Amplitudes
title Optimizing the Reduction of One-Loop Amplitudes
title_full Optimizing the Reduction of One-Loop Amplitudes
title_fullStr Optimizing the Reduction of One-Loop Amplitudes
title_full_unstemmed Optimizing the Reduction of One-Loop Amplitudes
title_short Optimizing the Reduction of One-Loop Amplitudes
title_sort optimizing the reduction of one-loop amplitudes
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1088/1126-6708/2008/06/030
http://cds.cern.ch/record/1096342
work_keys_str_mv AT mastroliap optimizingthereductionofoneloopamplitudes
AT ossolag optimizingthereductionofoneloopamplitudes
AT papadopouloscg optimizingthereductionofoneloopamplitudes
AT pittaur optimizingthereductionofoneloopamplitudes

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