QCD running coupling effects for the non-singlet structure function at small x

A generalization of the leading-order DGLAP evolution at small x is performed for the non-singlet structure function by resumming the leading-order DGLAP anomalous dimension to all orders in the QCD coupling. Explicit expressions are obtained for the non-singlet structure function of the deep inelas...

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Detalles Bibliográficos
Autores principales: Ermolaev, B.I., Greco, Mario, Troian, S.I.
Lenguaje:eng
Publicado: 1999
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(99)00812-3
http://cds.cern.ch/record/389539
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author Ermolaev, B.I.
Greco, Mario
Troian, S.I.
author_facet Ermolaev, B.I.
Greco, Mario
Troian, S.I.
author_sort Ermolaev, B.I.
collection CERN
description A generalization of the leading-order DGLAP evolution at small x is performed for the non-singlet structure function by resumming the leading-order DGLAP anomalous dimension to all orders in the QCD coupling. Explicit expressions are obtained for the non-singlet structure function of the deep inelastic scattering, taking into account both the double-logarithmic and the single-logarithmic contributions, including the running alpha_s effects. It is shown that when these contributions are included, the asymptotic small-x behaviour is power-like, with an exponent of about 0.4.
id cern-389539
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
record_format invenio
spelling cern-3895392023-03-14T17:58:10Zdoi:10.1016/S0550-3213(99)00812-3http://cds.cern.ch/record/389539engErmolaev, B.I.Greco, MarioTroian, S.I.QCD running coupling effects for the non-singlet structure function at small xParticle Physics - PhenomenologyA generalization of the leading-order DGLAP evolution at small x is performed for the non-singlet structure function by resumming the leading-order DGLAP anomalous dimension to all orders in the QCD coupling. Explicit expressions are obtained for the non-singlet structure function of the deep inelastic scattering, taking into account both the double-logarithmic and the single-logarithmic contributions, including the running alpha_s effects. It is shown that when these contributions are included, the asymptotic small-x behaviour is power-like, with an exponent of about 0.4.A generalization of the leading-order DGLAP evolution at small x is performed for the non-singlet structure function by resumming the leading-order DGLAP anomalous dimension to all orders in the QCD coupling. Explicit expressions are obtained for the non-singlet structure function of the deep inelastic scattering, taking into account both the double-logarithmic and the single-logarithmic contributions, including the running alpha_s effects. It is shown that when these contributions are included, the asymptotic small-x behaviour is power-like, with an exponent of about 0.4.A generalization of the leading-order DGLAP evolution at small x is performed for the non-singlet structure function by resumming the leading-order DGLAP anomalous dimension to all orders in the QCD coupling. Explicit expressions are obtained for the non-singlet structure function of the deep inelastic scattering, taking into account both the double-logarithmic and the single-logarithmic contributions, including the running α s effects. It is shown that when these contributions are included, the asymptotic small- x behaviour is power-like, with an exponent of about 0.4.hep-ph/9906276CERN-TH-99-155CERN-TH-99-155oai:cds.cern.ch:3895391999-06-08
spellingShingle Particle Physics - Phenomenology
Ermolaev, B.I.
Greco, Mario
Troian, S.I.
QCD running coupling effects for the non-singlet structure function at small x
title QCD running coupling effects for the non-singlet structure function at small x
title_full QCD running coupling effects for the non-singlet structure function at small x
title_fullStr QCD running coupling effects for the non-singlet structure function at small x
title_full_unstemmed QCD running coupling effects for the non-singlet structure function at small x
title_short QCD running coupling effects for the non-singlet structure function at small x
title_sort qcd running coupling effects for the non-singlet structure function at small x
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0550-3213(99)00812-3
http://cds.cern.ch/record/389539
work_keys_str_mv AT ermolaevbi qcdrunningcouplingeffectsforthenonsingletstructurefunctionatsmallx
AT grecomario qcdrunningcouplingeffectsforthenonsingletstructurefunctionatsmallx
AT troiansi qcdrunningcouplingeffectsforthenonsingletstructurefunctionatsmallx

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