Parametrizations of collinear and k_T-dependent parton densities in a proton

2022/10/31 by N. A. Abdulov, Abdulov, N. A., A. V. Kotikov +3 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2210.17396

openalex publication_date 2022/10/31 · openalex created_date 2022/11/06 · openalex updated_date 2026/07/28

Abstract

A new type of parametrization for parton distribution functions in a 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 a proton, which currently plays an important role in a number of phenomenological applications. The analytical expressions for the latter, valid for both low and large x, are derived for the first time.

Cited by

• Transverse momentum dependent gluon density in a proton at low x in the Laplace transform method
• The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions

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