The shape function in field theory

The shape function describes (non-perturbative) Fermi motion effects in semi-inclusive heavy flavour decay. Its renormalization properties are substantially dependent on the kind of ultraviolet regulator used. For example, the double logarithm that appears at one loop is larger by a factor 2 in dime...

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Detalles Bibliográficos
Autor principal: Aglietti, U.
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0920-5632(01)01165-3
http://cds.cern.ch/record/460711
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author Aglietti, U.
author_facet Aglietti, U.
author_sort Aglietti, U.
collection CERN
description The shape function describes (non-perturbative) Fermi motion effects in semi-inclusive heavy flavour decay. Its renormalization properties are substantially dependent on the kind of ultraviolet regulator used. For example, the double logarithm that appears at one loop is larger by a factor 2 in dimensional regularization than in lattice regularization. We show that factorization of long-distance effects inside the shape function is achieved with any regulator considered.
id cern-460711
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4607112023-03-14T18:57:55Zdoi:10.1016/S0920-5632(01)01165-3http://cds.cern.ch/record/460711engAglietti, U.The shape function in field theoryParticle Physics - PhenomenologyThe shape function describes (non-perturbative) Fermi motion effects in semi-inclusive heavy flavour decay. Its renormalization properties are substantially dependent on the kind of ultraviolet regulator used. For example, the double logarithm that appears at one loop is larger by a factor 2 in dimensional regularization than in lattice regularization. We show that factorization of long-distance effects inside the shape function is achieved with any regulator considered.The shape function describes (non-perturbative) Fermi motion effects in semi-inclusive heavy flavour decay. Its renormalization properties are substantially dependent on the kind of ultraviolet regulator used. For example, the double logarithm that appears at one loop is larger by a factor 2 in dimensional regularization than in lattice regularization. We show that factorization of long-distance effects inside the shape function is achieved with any regulator considered.hep-ph/0009214CERN-TH-2000-278CERN-TH-2000-278oai:cds.cern.ch:4607112000-09-18
spellingShingle Particle Physics - Phenomenology
Aglietti, U.
The shape function in field theory
title The shape function in field theory
title_full The shape function in field theory
title_fullStr The shape function in field theory
title_full_unstemmed The shape function in field theory
title_short The shape function in field theory
title_sort shape function in field theory
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0920-5632(01)01165-3
http://cds.cern.ch/record/460711
work_keys_str_mv AT agliettiu theshapefunctioninfieldtheory
AT agliettiu shapefunctioninfieldtheory

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