Transverse momentum dependent parton densities in a proton from the generalized DAS approach

Abstract We use the Bessel-inspired behavior of parton densities at small Bjorken x values, obtained in the case of the flat initial conditions for DGLAP evolution equations in the double scaling QCD approximation (DAS), to evaluate the transverse momentum dependent (TMD, or unintegrated) quark and...

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Main Authors: A. V. Kotikov, A. V. Lipatov, B. G. Shaikhatdenov, P. Zhang
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2020)028
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author A. V. Kotikov
A. V. Lipatov
B. G. Shaikhatdenov
P. Zhang
author_facet A. V. Kotikov
A. V. Lipatov
B. G. Shaikhatdenov
P. Zhang
author_sort A. V. Kotikov
collection DOAJ
description Abstract We use the Bessel-inspired behavior of parton densities at small Bjorken x values, obtained in the case of the flat initial conditions for DGLAP evolution equations in the double scaling QCD approximation (DAS), to evaluate the transverse momentum dependent (TMD, or unintegrated) quark and gluon distribution functions in a proton. The calculations are performed analytically using the Kimber-Martin-Ryskin (KMR) prescription with different implementation of kinematical constraint, reflecting the angular and strong ordering conditions. The relations between the differential and integral formulation of the KMR approach is discussed. Several phenomenological applications of the proposed TMD parton densities to the LHC processes are given.
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institution Kabale University
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publishDate 2020-02-01
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series Journal of High Energy Physics
spelling doaj-art-917ddb558a904a189955d7358b1a8c1d2025-01-26T12:12:21ZengSpringerOpenJournal of High Energy Physics1029-84792020-02-012020213010.1007/JHEP02(2020)028Transverse momentum dependent parton densities in a proton from the generalized DAS approachA. V. Kotikov0A. V. Lipatov1B. G. Shaikhatdenov2P. Zhang3Institute of Modern PhysicsJoint Institute for Nuclear ResearchJoint Institute for Nuclear ResearchSchool of Physics and Astronomy, Sun Yat-sen UniversityAbstract We use the Bessel-inspired behavior of parton densities at small Bjorken x values, obtained in the case of the flat initial conditions for DGLAP evolution equations in the double scaling QCD approximation (DAS), to evaluate the transverse momentum dependent (TMD, or unintegrated) quark and gluon distribution functions in a proton. The calculations are performed analytically using the Kimber-Martin-Ryskin (KMR) prescription with different implementation of kinematical constraint, reflecting the angular and strong ordering conditions. The relations between the differential and integral formulation of the KMR approach is discussed. Several phenomenological applications of the proposed TMD parton densities to the LHC processes are given.https://doi.org/10.1007/JHEP02(2020)028QCD Phenomenology
spellingShingle A. V. Kotikov
A. V. Lipatov
B. G. Shaikhatdenov
P. Zhang
Transverse momentum dependent parton densities in a proton from the generalized DAS approach
Journal of High Energy Physics
QCD Phenomenology
title Transverse momentum dependent parton densities in a proton from the generalized DAS approach
title_full Transverse momentum dependent parton densities in a proton from the generalized DAS approach
title_fullStr Transverse momentum dependent parton densities in a proton from the generalized DAS approach
title_full_unstemmed Transverse momentum dependent parton densities in a proton from the generalized DAS approach
title_short Transverse momentum dependent parton densities in a proton from the generalized DAS approach
title_sort transverse momentum dependent parton densities in a proton from the generalized das approach
topic QCD Phenomenology
url https://doi.org/10.1007/JHEP02(2020)028
work_keys_str_mv AT avkotikov transversemomentumdependentpartondensitiesinaprotonfromthegeneralizeddasapproach
AT avlipatov transversemomentumdependentpartondensitiesinaprotonfromthegeneralizeddasapproach
AT bgshaikhatdenov transversemomentumdependentpartondensitiesinaprotonfromthegeneralizeddasapproach
AT pzhang transversemomentumdependentpartondensitiesinaprotonfromthegeneralizeddasapproach