Integration-by-parts identities in FDR

Four-dimensional renormalized (FDR) integrals play an increasingly important role in perturbative loop calculations. Thanks to them, loop computations can be performed directly in four dimensions and with no ultraviolet (UV) counterterms. In this paper I prove that integration-by-parts (IBP) identit...

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Detalles Bibliográficos
Autor principal: Pittau, Roberto
Lenguaje:eng
Publicado: 2014
Materias:
hep-ph
Particle Physics - Phenomenology
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1002/prop.201500040
http://cds.cern.ch/record/1751780
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author Pittau, Roberto
author_facet Pittau, Roberto
author_sort Pittau, Roberto
collection CERN
description Four-dimensional renormalized (FDR) integrals play an increasingly important role in perturbative loop calculations. Thanks to them, loop computations can be performed directly in four dimensions and with no ultraviolet (UV) counterterms. In this paper I prove that integration-by-parts (IBP) identities can be used to find relations among multi-loop FDR integrals. Since algorithms based on IBP are widely applied beyond one loop, this result represents a decisive step forward towards the use of FDR in multi-loop calculations.
id cern-1751780
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
record_format invenio
spelling cern-17517802021-05-03T20:01:38Zdoi:10.1002/prop.201500040http://cds.cern.ch/record/1751780engPittau, RobertoIntegration-by-parts identities in FDRhep-phParticle Physics - Phenomenologyhep-thParticle Physics - TheoryFour-dimensional renormalized (FDR) integrals play an increasingly important role in perturbative loop calculations. Thanks to them, loop computations can be performed directly in four dimensions and with no ultraviolet (UV) counterterms. In this paper I prove that integration-by-parts (IBP) identities can be used to find relations among multi-loop FDR integrals. Since algorithms based on IBP are widely applied beyond one loop, this result represents a decisive step forward towards the use of FDR in multi-loop calculations.Four-Dimensionally Regularized/Renormalized (FDR) integrals play an increasingly important role in perturbative loop calculations. Thanks to them, loop computations can be performed directly in four dimensions and with no ultraviolet counterterms. In this paper I prove that integration-by-parts (IBP) identities based on simple integrand differentiation can be used to find relations among multi-loop FDR integrals. Since algorithms based on IBP are widely applied beyond one loop, this result represents a decisive step forward towards the use of the FDR approach in multi-loop calculations.arXiv:1408.5345oai:cds.cern.ch:17517802014-08-22
spellingShingle hep-ph
Particle Physics - Phenomenology
hep-th
Particle Physics - Theory
Pittau, Roberto
Integration-by-parts identities in FDR
title Integration-by-parts identities in FDR
title_full Integration-by-parts identities in FDR
title_fullStr Integration-by-parts identities in FDR
title_full_unstemmed Integration-by-parts identities in FDR
title_short Integration-by-parts identities in FDR
title_sort integration-by-parts identities in fdr
topic hep-ph
Particle Physics - Phenomenology
hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1002/prop.201500040
http://cds.cern.ch/record/1751780
work_keys_str_mv AT pittauroberto integrationbypartsidentitiesinfdr

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