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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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Lenguaje: | eng |
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2007
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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. |
id | cern-1017450 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2007 |
record_format | invenio |
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 |