An anomalous dimension for small x evolution

We construct an anomalous dimension for small x evolution which goes beyond standard fixed order perturbative evolution by including resummed small x logarithms deduced from the leading order BFKL equation with running coupling. Surprisingly, we find that once running coupling effects are properly t...

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Detalles Bibliográficos
Autores principales: Altarelli, Guido, Ball, Richard D., Forte, Stefano
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2003.09.040
http://cds.cern.ch/record/624170
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author Altarelli, Guido
Ball, Richard D.
Forte, Stefano
author_facet Altarelli, Guido
Ball, Richard D.
Forte, Stefano
author_sort Altarelli, Guido
collection CERN
description We construct an anomalous dimension for small x evolution which goes beyond standard fixed order perturbative evolution by including resummed small x logarithms deduced from the leading order BFKL equation with running coupling. Surprisingly, we find that once running coupling effects are properly taken into account, the leading approximation is very close to standard perturbative evolution in the range of x accessible at HERA, in overall agreement with the data, with no need for phenomenological parameters to summarise subleading effects. We also show that further corrections due to subleading small x logarithms derived from the Fadin-Lipatov kernel can be kept under control, but that they involve substantial resummation ambiguities which limit their practical usefulness.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6241702022-08-13T02:24:56Zdoi:10.1016/j.nuclphysb.2003.09.040http://cds.cern.ch/record/624170engAltarelli, GuidoBall, Richard D.Forte, StefanoAn anomalous dimension for small x evolutionParticle Physics - PhenomenologyWe construct an anomalous dimension for small x evolution which goes beyond standard fixed order perturbative evolution by including resummed small x logarithms deduced from the leading order BFKL equation with running coupling. Surprisingly, we find that once running coupling effects are properly taken into account, the leading approximation is very close to standard perturbative evolution in the range of x accessible at HERA, in overall agreement with the data, with no need for phenomenological parameters to summarise subleading effects. We also show that further corrections due to subleading small x logarithms derived from the Fadin-Lipatov kernel can be kept under control, but that they involve substantial resummation ambiguities which limit their practical usefulness.We construct an anomalous dimension for small x evolution which goes beyond standard fixed order perturbative evolution by including resummed small x logarithms deduced from the leading order BFKL equation with running coupling. Surprisingly, we find that once running coupling effects are properly taken into account, the leading approximation is very close to standard perturbative evolution in the range of x accessible at HERA, in overall agreement with the data, with no need for phenomenological parameters to summarise subleading effects. We also show that further corrections due to subleading small x logarithms derived from the Fadin-Lipatov kernel can be kept under control, but that they involve substantial resummation ambiguities which limit their practical usefulness.We construct an anomalous dimension for small x evolution which goes beyond standard fixed order perturbative evolution by including resummed small x logarithms deduced from the leading order BFKL equation with running coupling. Surprisingly, we find that once running coupling effects are properly taken into account, the leading approximation is very close to standard perturbative evolution in the range of x accessible at HERA, in overall agreement with the data, with no need for phenomenological parameters to summarise subleading effects. We also show that further corrections due to subleading small x logarithms derived from the Fadin–Lipatov kernel can be kept under control, but that they involve substantial resummation ambiguities which limit their practical usefulness.hep-ph/0306156CERN-TH-2003-019EDINBURGH-2003-08IFUM-745-FTCERN-TH-2003-019EDINBURGH-2003-08IFUM-745-FToai:cds.cern.ch:6241702003-06-17
spellingShingle Particle Physics - Phenomenology
Altarelli, Guido
Ball, Richard D.
Forte, Stefano
An anomalous dimension for small x evolution
title An anomalous dimension for small x evolution
title_full An anomalous dimension for small x evolution
title_fullStr An anomalous dimension for small x evolution
title_full_unstemmed An anomalous dimension for small x evolution
title_short An anomalous dimension for small x evolution
title_sort anomalous dimension for small x evolution
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.nuclphysb.2003.09.040
http://cds.cern.ch/record/624170
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