Double-Cut of Scattering Amplitudes and Stokes' Theorem

We show how Stokes' Theorem, in the fashion of the Generalised Cauchy Formula, can be applied for computing double-cut integrals of one-loop amplitudes analytically. It implies the evaluation of phase-space integrals of rational functions in two complex-conjugated variables, which are simply co...

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Detalles Bibliográficos
Autor principal: Mastrolia, Pierpaolo
Lenguaje:eng
Publicado: 2009
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2009.06.033
http://cds.cern.ch/record/1178112
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author Mastrolia, Pierpaolo
author_facet Mastrolia, Pierpaolo
author_sort Mastrolia, Pierpaolo
collection CERN
description We show how Stokes' Theorem, in the fashion of the Generalised Cauchy Formula, can be applied for computing double-cut integrals of one-loop amplitudes analytically. It implies the evaluation of phase-space integrals of rational functions in two complex-conjugated variables, which are simply computed by an indefinite integration in a single variable, followed by Cauchy's Residue integration in the conjugated one. The method is suitable for the cut-construction of the coefficients of 2-point functions entering the decomposition of one-loop amplitudes in terms of scalar master integrals.
id cern-1178112
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2009
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spelling cern-11781122023-10-04T21:42:51Zdoi:10.1016/j.physletb.2009.06.033http://cds.cern.ch/record/1178112engMastrolia, PierpaoloDouble-Cut of Scattering Amplitudes and Stokes' TheoremParticle Physics - PhenomenologyWe show how Stokes' Theorem, in the fashion of the Generalised Cauchy Formula, can be applied for computing double-cut integrals of one-loop amplitudes analytically. It implies the evaluation of phase-space integrals of rational functions in two complex-conjugated variables, which are simply computed by an indefinite integration in a single variable, followed by Cauchy's Residue integration in the conjugated one. The method is suitable for the cut-construction of the coefficients of 2-point functions entering the decomposition of one-loop amplitudes in terms of scalar master integrals.We show how Stokes' Theorem, in the fashion of the Generalised Cauchy Formula, can be applied for computing double-cut integrals of one-loop amplitudes analytically. It implies the evaluation of phase-space integrals of rational functions in two complex-conjugated variables, which are simply computed by an indefinite integration in a single variable, followed by Cauchy's Residue integration in the conjugated one. The method is suitable for the cut-construction of the coefficients of 2-point functions entering the decomposition of one-loop amplitudes in terms of scalar master integrals.arXiv:0905.2909CERN-PH-TH-2009-061CERN-PH-TH-2009-061oai:cds.cern.ch:11781122009-05-19
spellingShingle Particle Physics - Phenomenology
Mastrolia, Pierpaolo
Double-Cut of Scattering Amplitudes and Stokes' Theorem
title Double-Cut of Scattering Amplitudes and Stokes' Theorem
title_full Double-Cut of Scattering Amplitudes and Stokes' Theorem
title_fullStr Double-Cut of Scattering Amplitudes and Stokes' Theorem
title_full_unstemmed Double-Cut of Scattering Amplitudes and Stokes' Theorem
title_short Double-Cut of Scattering Amplitudes and Stokes' Theorem
title_sort double-cut of scattering amplitudes and stokes' theorem
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.physletb.2009.06.033
http://cds.cern.ch/record/1178112
work_keys_str_mv AT mastroliapierpaolo doublecutofscatteringamplitudesandstokestheorem

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