Resummation of singlet parton evolution at small x

We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence of terms derived from the one- and two-loop anomalous dimens...

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Detalles Bibliográficos
Autores principales: Altarelli, Guido, Ball, Richard D., Forte, Stefano
Lenguaje:eng
Publicado: 1999
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(00)00032-8
http://cds.cern.ch/record/407029
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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 propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence of terms derived from the one- and two-loop anomalous dimension gamma. The requirement of momentum conservation is always satisfied. The residual ambiguity on the splitting functions is effectively parameterized in terms of the value of lambda, which fixes the small x asymptotic behaviour x^-lambda of the singlet parton distributions. We derive from this improved evolution function an expansion of the splitting function which leads to good apparent convergence, and to a description of scaling violations valid both at large and small x.
id cern-407029
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
record_format invenio
spelling cern-4070292023-03-14T20:36:04Zdoi:10.1016/S0550-3213(00)00032-8http://cds.cern.ch/record/407029engAltarelli, GuidoBall, Richard D.Forte, StefanoResummation of singlet parton evolution at small xParticle Physics - PhenomenologyWe propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence of terms derived from the one- and two-loop anomalous dimension gamma. The requirement of momentum conservation is always satisfied. The residual ambiguity on the splitting functions is effectively parameterized in terms of the value of lambda, which fixes the small x asymptotic behaviour x^-lambda of the singlet parton distributions. We derive from this improved evolution function an expansion of the splitting function which leads to good apparent convergence, and to a description of scaling violations valid both at large and small x.We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence of terms derived from the one- and two-loop anomalous dimension gamma. The requirement of momentum conservation is always satisfied. The residual ambiguity on the splitting functions is effectively parameterized in terms of the value of lambda, which fixes the small x asymptotic behaviour x^-lambda of the singlet parton distributions. We derive from this improved evolution function an expansion of the splitting function which leads to good apparent convergence, and to a description of scaling violations valid both at large and small x.We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence of terms derived from the one- and two-loop anomalous dimension gamma. The requirement of momentum conservation is always satisfied. The residual ambiguity on the splitting functions is effectively parameterized in terms of the value of lambda, which fixes the small x asymptotic behaviour x^-lambda of the singlet parton distributions. We derive from this improved evolution function an expansion of the splitting function which leads to good apparent convergence, and to a description of scaling violations valid both at large and small x.We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence of terms derived from the one- and two-loop anomalous dimension gamma. The requirement of momentum conservation is always satisfied. The residual ambiguity on the splitting functions is effectively parameterized in terms of the value of lambda, which fixes the small x asymptotic behaviour x^-lambda of the singlet parton distributions. We derive from this improved evolution function an expansion of the splitting function which leads to good apparent convergence, and to a description of scaling violations valid both at large and small x.We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence of terms derived from the one- and two-loop anomalous dimension gamma. The requirement of momentum conservation is always satisfied. The residual ambiguity on the splitting functions is effectively parameterized in terms of the value of lambda, which fixes the small x asymptotic behaviour x^-lambda of the singlet parton distributions. We derive from this improved evolution function an expansion of the splitting function which leads to good apparent convergence, and to a description of scaling violations valid both at large and small x.We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x -evolution function χ ( M ) near M =0 by including in it a sequence of terms derived from the one- and two-loop anomalous dimension γ . The requirement of momentum conservation is always satisfied. The residual ambiguity on the splitting functions is effectively parameterized in terms of the value of λ , which fixes the small x asymptotic behaviour x − λ of the singlet parton distributions. We derive from this improved evolution function an expansion of the splitting function which leads to good apparent convergence, and to a description of scaling violations valid both at large and small x .hep-ph/9911273CERN-TH-99-317RM3-TH-99-11EDINBURGH-99-18CERN-TH-99-317EDINBURGH-99-18RM-3-TH-99-11oai:cds.cern.ch:4070291999-11-09
spellingShingle Particle Physics - Phenomenology
Altarelli, Guido
Ball, Richard D.
Forte, Stefano
Resummation of singlet parton evolution at small x
title Resummation of singlet parton evolution at small x
title_full Resummation of singlet parton evolution at small x
title_fullStr Resummation of singlet parton evolution at small x
title_full_unstemmed Resummation of singlet parton evolution at small x
title_short Resummation of singlet parton evolution at small x
title_sort resummation of singlet parton evolution at small x
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0550-3213(00)00032-8
http://cds.cern.ch/record/407029
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AT ballrichardd resummationofsingletpartonevolutionatsmallx
AT fortestefano resummationofsingletpartonevolutionatsmallx

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