Parametrizations of Collinear and kT-Dependent Parton Densities in Proton

A new type of parametrization for parton distribution functions in the proton, based on their Q2-evolution at large and small x values, is constructed. In our analysis, the valence and nonsinglet parts obey the Gross–Llewellyn–Smith and Gottfried sum rules, respectively. For the singlet quark and gl...

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Bibliographic Details
Published in:Particles 2022-12, Vol.5 (4), p.535-560
Main Authors: Abdulov, Nizami A., Kotikov, Anatoly V., Lipatov, Artem
Format: Article
Language:English
Subjects:
Distribution functions
Gluons
Kimber–Martin–Ryskin approach
Mathematical analysis
Parameterization
parton density functions in the proton
Partons
Protons
QCD evolution
Quarks
Sum rules
Transverse momentum
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Summary:A new type of parametrization for parton distribution functions in the proton, based on their Q2-evolution at large and small x values, is constructed. In our analysis, the valence and nonsinglet parts obey the Gross–Llewellyn–Smith and Gottfried sum rules, respectively. For the singlet quark and gluon densities, momentum conservation is taken into account. Then, using the Kimber–Martin–Ryskin prescription, we extend the consideration to Transverse Momentum Dependent (TMD, or unintegrated) gluon and quark distributions in the proton, which currently plays an important role in a the number of phenomenological applications. The analytical expressions for the latter, valid for both low and large x, are derived for the first time.
ISSN:2571-712X
2571-712X
DOI:10.3390/particles5040039