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Endpoint singularities in unintegrated parton distributions

We examine the singular behavior from the endpoint region x -> 1 in parton distributions unintegrated in both longitudinal and transverse momenta. We identify and regularize the singularities by using the subtraction method, and compare this with the cut-off regularization method. The counterterm...

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Autor principal: Hautmann, F.
Lenguaje:eng
Publicado: 2007
Materias:
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2007.08.081
http://cds.cern.ch/record/1017450
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author Hautmann, F.
author_facet Hautmann, F.
author_sort Hautmann, F.
collection CERN
description We examine the singular behavior from the endpoint region x -> 1 in parton distributions unintegrated in both longitudinal and transverse momenta. We identify and regularize the singularities by using the subtraction method, and compare this with the cut-off regularization method. The counterterms for the distributions with subtractive regularization are given in coordinate space by compact all-order expressions in terms of eikonal-line operators. We carry out an explicit calculation at one loop for the unintegrated quark distribution. We discuss the relation of the unintegrated parton distributions in subtractive regularization with the ordinary parton distributions.
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language eng
publishDate 2007
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spelling cern-10174502019-09-30T06:29:59Zdoi:10.1016/j.physletb.2007.08.081http://cds.cern.ch/record/1017450engHautmann, F.Endpoint singularities in unintegrated parton distributionsParticle Physics - PhenomenologyWe examine the singular behavior from the endpoint region x -> 1 in parton distributions unintegrated in both longitudinal and transverse momenta. We identify and regularize the singularities by using the subtraction method, and compare this with the cut-off regularization method. The counterterms for the distributions with subtractive regularization are given in coordinate space by compact all-order expressions in terms of eikonal-line operators. We carry out an explicit calculation at one loop for the unintegrated quark distribution. We discuss the relation of the unintegrated parton distributions in subtractive regularization with the ordinary parton distributions.We examine the singular behavior from the endpoint region x -> 1 in parton distributions unintegrated in both longitudinal and transverse momenta. We identify and regularize the singularities by using the subtraction method, and compare this with the cut-off regularization method. The counterterms for the distributions with subtractive regularization are given in coordinate space by compact all-order expressions in terms of eikonal-line operators. We carry out an explicit calculation at one loop for the unintegrated quark distribution. We discuss the relation of the unintegrated parton distributions in subtractive regularization with the ordinary parton distributions.We examine the singular behavior from the endpoint region x -> 1 in parton distributions unintegrated in both longitudinal and transverse momenta. We identify and regularize the singularities by using the subtraction method, and compare this with the cut-off regularization method. The counterterms for the distributions with subtractive regularization are given in coordinate space by compact all-order expressions in terms of eikonal-line operators. We carry out an explicit calculation at one loop for the unintegrated quark distribution. We discuss the relation of the unintegrated parton distributions in subtractive regularization with the ordinary parton distributions.We examine the singular behavior from the endpoint region x→1 in parton distributions unintegrated in both longitudinal and transverse momenta. We identify and regularize the singularities by using the subtraction method, and compare this with the cut-off regularization method. The counterterms for the distributions with subtractive regularization are given in coordinate space by compact all-order expressions in terms of eikonal-line operators. We carry out an explicit calculation at one loop for the unintegrated quark distribution. We discuss the relation of the unintegrated parton distributions in subtractive regularization with the ordinary parton distributions.hep-ph/0702196CERN-PH-TH-2007-027oai:cds.cern.ch:10174502007-02-19
spellingShingle Particle Physics - Phenomenology
Hautmann, F.
Endpoint singularities in unintegrated parton distributions
title Endpoint singularities in unintegrated parton distributions
title_full Endpoint singularities in unintegrated parton distributions
title_fullStr Endpoint singularities in unintegrated parton distributions
title_full_unstemmed Endpoint singularities in unintegrated parton distributions
title_short Endpoint singularities in unintegrated parton distributions
title_sort endpoint singularities in unintegrated parton distributions
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.physletb.2007.08.081
http://cds.cern.ch/record/1017450
work_keys_str_mv AT hautmannf endpointsingularitiesinunintegratedpartondistributions