On the Cuts of Scattering Amplitudes

The use of complex analysis for computing one-loop scattering amplitudes is naturally induced by generalised unitarity-cut conditions, fulfilled by complex values of the loop variable. We report on two techniques: the cut-integration with spinor-variables as contour integrals of rational functions;...

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Detalles Bibliográficos
Autor principal: Mastrolia, Pierpaolo
Lenguaje:eng
Publicado: 2008
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysbps.2008.09.082
http://cds.cern.ch/record/1116765
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author Mastrolia, Pierpaolo
author_facet Mastrolia, Pierpaolo
author_sort Mastrolia, Pierpaolo
collection CERN
description The use of complex analysis for computing one-loop scattering amplitudes is naturally induced by generalised unitarity-cut conditions, fulfilled by complex values of the loop variable. We report on two techniques: the cut-integration with spinor-variables as contour integrals of rational functions; and the use of the Discrete Fourier Transform to optimize the reduction of tensor-integrals to master scalar integrals.
id cern-1116765
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-11167652023-03-15T19:11:22Zdoi:10.1016/j.nuclphysbps.2008.09.082http://cds.cern.ch/record/1116765engMastrolia, PierpaoloOn the Cuts of Scattering AmplitudesParticle Physics - PhenomenologyThe use of complex analysis for computing one-loop scattering amplitudes is naturally induced by generalised unitarity-cut conditions, fulfilled by complex values of the loop variable. We report on two techniques: the cut-integration with spinor-variables as contour integrals of rational functions; and the use of the Discrete Fourier Transform to optimize the reduction of tensor-integrals to master scalar integrals.The use of complex analysis for computing one-loop scattering amplitudes is naturally induced by generalised unitarity-cut conditions, fulfilled by complex values of the loop variable. We report on two techniques: the cut-integration with spinor-variables as contour integrals of rational functions/ and the use of the Discrete Fourier Transform to optimize the reduction of tensor-integrals to master scalar integrals.arXiv:0807.3493oai:cds.cern.ch:11167652008-07-23
spellingShingle Particle Physics - Phenomenology
Mastrolia, Pierpaolo
On the Cuts of Scattering Amplitudes
title On the Cuts of Scattering Amplitudes
title_full On the Cuts of Scattering Amplitudes
title_fullStr On the Cuts of Scattering Amplitudes
title_full_unstemmed On the Cuts of Scattering Amplitudes
title_short On the Cuts of Scattering Amplitudes
title_sort on the cuts of scattering amplitudes
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.nuclphysbps.2008.09.082
http://cds.cern.ch/record/1116765
work_keys_str_mv AT mastroliapierpaolo onthecutsofscatteringamplitudes

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