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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2020-02-01
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Series: | Journal of High Energy Physics |
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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. |
format | Article |
id | doaj-art-917ddb558a904a189955d7358b1a8c1d |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2020-02-01 |
publisher | SpringerOpen |
record_format | Article |
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 |