Transverse-momentum-dependent gluon distributions from JIMWLK evolution

Abstract

Transverse-momentum-dependent (TMD) gluon distributions have different operator definitions, depending on the process under consideration. We study that aspect of TMD factorization in the small-x limit, for the various unpolarized TMD gluon distributions encountered in the literature. To do this, we consider di-jet production in hadronic collisions, since this process allows to be exhaustive with respect to the possible operator definitions, and is suitable to be investigated at small x. Indeed, for forward and nearly back-to-back jets, one can apply both the TMD factorization and Color Glass Condensate (CGC) approaches to compute the di-jet cross-section, and compare the results. Doing so, we show that both descriptions coincide, and we show how to express the various TMD gluon distributions in terms of CGC correlators of Wilson lines, while keeping Nc finite. We then proceed to evaluate them by solving the JIMWLK equation numerically. We obtain that at large transverse momentum, the process dependence essentially disappears, while at small transverse momentum, non-linear saturation effects impact the various TMD gluon distributions in very different ways. We notice the presence of a geometric scaling regime for all the TMD gluon distributions studied: the "dipole" one, the Weizsäcker-Williams one, and the six others involved in forward di-jet production.

21 pages, 7 figures, version published in JHEP

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Cited by in corpus (48)

• Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework
• Linearly-polarized small-x gluons in forward heavy-quark pair production
• Measuring the Weizsaecker-Williams distribution of linearly polarized gluons at an EIC through dijet azimuthal asymmetries
• Forward di-hadron back-to-back correlations in $\mathbf{pA}$ collisions from rcBK evolution
• The elliptic gluon GTMD inside a large nucleus
• Linearly polarized gluons and axial charge fluctuations in the Glasma
• Suppression of maximal linear gluon polarization in angular asymmetries
• Interplay of the CGC and TMD frameworks to all orders in kinematic twist
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• Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC
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• Probing parton saturation and the gluon dipole via diffractive jet production at the Electron-Ion Collider
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• One-Loop Corrections to Dihadron Production in DIS at Small $x$
• Forward dijets in proton-nucleus collisions at next-to-leading order: the real corrections
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• On gauge invariance of transverse momentum dependent distributions at small x
• Harmonics of Parton Saturation in Lepton-Jet Correlations at the EIC
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• TMD factorization for dijets + photon production from the dilute-dense CGC framework
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• TMD gluon distributions for multiparton processes
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• Incoherent diffractive dijet production in electron DIS off nuclei at high energy
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• Fluctuations of the gluon distribution from the small-x effective action
• Forward trijet production in p-p and p-Pb collisions at LHC
• Unintegrated dipole gluon distribution at small transverse momentum
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• Signature of gluon saturation in forward di-hadron correlations at the Large Hadron Collider
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• Mapping the internal structure of hadrons through color and spin effects
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$
• Forward proton detectors in heavy ion physics
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