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 counterterms fo...

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Main Author: Hautmann, F
Format: Journal article
Language:English
Published: 2007
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author Hautmann, F
author_facet Hautmann, F
author_sort Hautmann, F
collection OXFORD
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. © 2007 Elsevier B.V. All rights reserved.
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spelling oxford-uuid:f7d99679-1b19-4eee-a251-71981703ee0f2022-03-27T12:45:36ZEndpoint singularities in unintegrated parton distributionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f7d99679-1b19-4eee-a251-71981703ee0fEnglishSymplectic Elements at Oxford2007Hautmann, FWe 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. © 2007 Elsevier B.V. All rights reserved.
spellingShingle 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
work_keys_str_mv AT hautmannf endpointsingularitiesinunintegratedpartondistributions