An analytic solution of the BFKL equation with momentum cutoffs

We outline a general method for obtaining the solution to the (t=0) BFKL equation in the presence of transverse momentum cutoffs. A lower cutoff allows one to avoid integration over nonperturbative momenta and an upper one is needed from energy-momentum conservation. Our method allows for the inclus...

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Detalles Bibliográficos
Autores principales: McDermott, M.F., Forshaw, Jeffrey R., Ross, Graham G.
Lenguaje:eng
Publicado: 1995
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(95)00233-B
http://cds.cern.ch/record/275122
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author McDermott, M.F.
Forshaw, Jeffrey R.
Ross, Graham G.
author_facet McDermott, M.F.
Forshaw, Jeffrey R.
Ross, Graham G.
author_sort McDermott, M.F.
collection CERN
description We outline a general method for obtaining the solution to the (t=0) BFKL equation in the presence of transverse momentum cutoffs. A lower cutoff allows one to avoid integration over nonperturbative momenta and an upper one is needed from energy-momentum conservation. Our method allows for the inclusion of an arbitrary number of poles in the kernel and is applicable to any input distribution. Taking Mellin transforms, we discuss the effect of introducing cutoffs by considering the singularity structure in the transform space. We present an improved calculation of the small-x slope of the gluon density.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
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spelling cern-2751222020-07-23T02:49:47Zdoi:10.1016/0370-2693(95)00233-Bhttp://cds.cern.ch/record/275122engMcDermott, M.F.Forshaw, Jeffrey R.Ross, Graham G.An analytic solution of the BFKL equation with momentum cutoffsParticle Physics - PhenomenologyWe outline a general method for obtaining the solution to the (t=0) BFKL equation in the presence of transverse momentum cutoffs. A lower cutoff allows one to avoid integration over nonperturbative momenta and an upper one is needed from energy-momentum conservation. Our method allows for the inclusion of an arbitrary number of poles in the kernel and is applicable to any input distribution. Taking Mellin transforms, we discuss the effect of introducing cutoffs by considering the singularity structure in the transform space. We present an improved calculation of the small-x slope of the gluon density.We outline a general method for obtaining the solution to the ($t=0$) BFKL equation in the presence of transverse momentum cutoffs. A lower cutoff allows one to avoid integration over nonperturbative momenta and an upper one is needed from energy-momentum conservation. Our method allows for the inclusion of an arbitrary number of poles in the kernel and is applicable to any input distribution. Taking Mellin transforms, we discuss the effect of introducing cutoffs by considering the singularity structure in the transform space. We present an improved calculation of the small-$x$ slope of the gluon density.We outline a general method for obtaining the solution to the ( t = 0) BFKL equation in the presence of transverse momentum cutoffs. A lower cutoff allows one to avoid integration over nonperturbative momenta and an upper one is needed from energy-momentum conservation. Our method allows for the inclusion of an arbitrary number of poles in the kernel and is applicable to any input distribution. Taking Mellin transforms, we discuss the effect of introducing cutoffs by considering the singularity structure in the transform space. We present an improved calculation of the small- x slope of the gluon density.CERN-TH-7552-95OUTP-94-38-PRAL-95-002CERN-TH-95-4CERN-TH-95-004CERN-TH-95-04hep-ph/9501311OUTP-94-38PCERN-TH.7552-95CERN-TH-95-04CERN-TH-7552-95OUTP-94-38-PRAL-95-002oai:cds.cern.ch:2751221995-01-16
spellingShingle Particle Physics - Phenomenology
McDermott, M.F.
Forshaw, Jeffrey R.
Ross, Graham G.
An analytic solution of the BFKL equation with momentum cutoffs
title An analytic solution of the BFKL equation with momentum cutoffs
title_full An analytic solution of the BFKL equation with momentum cutoffs
title_fullStr An analytic solution of the BFKL equation with momentum cutoffs
title_full_unstemmed An analytic solution of the BFKL equation with momentum cutoffs
title_short An analytic solution of the BFKL equation with momentum cutoffs
title_sort analytic solution of the bfkl equation with momentum cutoffs
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/0370-2693(95)00233-B
http://cds.cern.ch/record/275122
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