The evolution of the small x gluon TMD

Abstract

We study the evolution of the small $x$ gluon transverse momentum dependent(TMD) distribution in the dilute limit. The calculation has been carried out in the Ji-Ma-Yuan scheme using a simple quark target model. As expected, we find that the resulting small $x$ gluon TMD simultaneously satisfies both the Collins-Soper(CS) evolution equation and the Balitsky-Fadin-Kuraev-Lipatov(BFKL) evolution equation. We thus confirmed the earlier finding that the high energy factorization(HEF) and the TMD factorization should be jointly employed to resum the different type large logarithms in a process where three relevant scales are well separated.

16 pages, 4 figures

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Cited by in corpus (11)

• Transverse-momentum-dependent gluon distributions from JIMWLK evolution
• Linearly-polarized small-x gluons in forward heavy-quark pair production
• The elliptic gluon GTMD inside a large nucleus
• Suppression of maximal linear gluon polarization in angular asymmetries
• Sea quark Sivers distribution
• Resumming subleading Sudakov logarithms in saturation regime
• Sudakov suppression of the Balitsky-Kovchegov kernel
• Energy evolution of T-odd gluon TMDs at small $x$
• Transverse Momentum Dependent Gluon Distribution within High Energy Factorization at Next-to-Leading Order
• A parton shower generator based on the GLR equation
• Transverse momentum dependent distribution functions in the threshold limit