Tensorial Reconstruction at the Integrand Level

We present a new approach to the reduction of one-loop amplitudes obtained by reconstructing the tensorial expression of the scattering amplitudes. The reconstruction is performed at the integrand level by means of a sampling in the integration momentum. There are several interesting applications of...

Descripción completa

Detalles Bibliográficos
Autores principales: Heinrich, G., Ossola, G., Reiter, T., Tramontano, F.
Lenguaje:eng
Publicado: 2010
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1007/JHEP10(2010)105
http://cds.cern.ch/record/1285217
_version_ 1780920563628244992
author Heinrich, G.
Ossola, G.
Reiter, T.
Tramontano, F.
author_facet Heinrich, G.
Ossola, G.
Reiter, T.
Tramontano, F.
author_sort Heinrich, G.
collection CERN
description We present a new approach to the reduction of one-loop amplitudes obtained by reconstructing the tensorial expression of the scattering amplitudes. The reconstruction is performed at the integrand level by means of a sampling in the integration momentum. There are several interesting applications of this novel method within existing techniques for the reduction of one-loop multi-leg amplitudes: to deal with numerically unstable points, such as in the vicinity of a vanishing Gram determinant; to allow for a sampling of the numerator function based on real values of the integration momentum; to optimize the numerical reduction in the case of long expressions for the numerator functions.
id cern-1285217
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
record_format invenio
spelling cern-12852172023-03-14T19:44:43Zdoi:10.1007/JHEP10(2010)105http://cds.cern.ch/record/1285217engHeinrich, G.Ossola, G.Reiter, T.Tramontano, F.Tensorial Reconstruction at the Integrand LevelParticle Physics - PhenomenologyWe present a new approach to the reduction of one-loop amplitudes obtained by reconstructing the tensorial expression of the scattering amplitudes. The reconstruction is performed at the integrand level by means of a sampling in the integration momentum. There are several interesting applications of this novel method within existing techniques for the reduction of one-loop multi-leg amplitudes: to deal with numerically unstable points, such as in the vicinity of a vanishing Gram determinant; to allow for a sampling of the numerator function based on real values of the integration momentum; to optimize the numerical reduction in the case of long expressions for the numerator functions.We present a new approach to the reduction of one-loop amplitudes obtained by reconstructing the tensorial expression of the scattering amplitudes. The reconstruction is performed at the integrand level by means of a sampling in the integration momentum. There are several interesting applications of this novel method within existing techniques for the reduction of one-loop multi-leg amplitudes: to deal with numerically unstable points, such as in the vicinity of a vanishing Gram determinant/ to allow for a sampling of the numerator function based on real values of the integration momentum/ to optimize the numerical reduction in the case of long expressions for the numerator functions.arXiv:1008.2441CERN-PH-TH-2010-175NIKHEF-2010-020IPPP-10-65DCPT-10-130ZU-TH-10-10CERN-PH-TH-2010-175NIKHEF 2010-020IPPP-10-65DCPT-10-130ZU-TH 10-10oai:cds.cern.ch:12852172010-08-17
spellingShingle Particle Physics - Phenomenology
Heinrich, G.
Ossola, G.
Reiter, T.
Tramontano, F.
Tensorial Reconstruction at the Integrand Level
title Tensorial Reconstruction at the Integrand Level
title_full Tensorial Reconstruction at the Integrand Level
title_fullStr Tensorial Reconstruction at the Integrand Level
title_full_unstemmed Tensorial Reconstruction at the Integrand Level
title_short Tensorial Reconstruction at the Integrand Level
title_sort tensorial reconstruction at the integrand level
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1007/JHEP10(2010)105
http://cds.cern.ch/record/1285217
work_keys_str_mv AT heinrichg tensorialreconstructionattheintegrandlevel
AT ossolag tensorialreconstructionattheintegrandlevel
AT reitert tensorialreconstructionattheintegrandlevel
AT tramontanof tensorialreconstructionattheintegrandlevel

Ejemplares similares