Wigner, Husimi and GTMD distributions in the Color Glass Condensate

Abstract

We study the phase space distributions of gluons inside a nucleon/nucleus in the small-$x$ regime including the gluon saturation effect. This can be done by using the relation between the gluon Wigner distribution and the dipole S-matrix at small-$x$, the latter satisfies the Balitsky-Kovchegov (BK) equation. By efficiently solving the BK equation with impact parameter dependence, we compute the Wigner, Husimi and generalized TMD (GTMD) distributions in the saturation regime. We also investigate the elliptic angular dependence of these distributions which has been recently shown to be measurable in DIS experiments.

arXiv comment19 pages, 20 figures

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Cited by in corpus (32)

• Accessing the gluon Wigner distribution in ultraperipheral $pA$ collisions
• Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate
• Generalized TMDs and the exclusive double Drell-Yan process
• Gluon Tomography from Deeply Virtual Compton Scattering at Small-x
• Anisotropy in Dijet Production in Exclusive and Inclusive Processes
• Probing the Weizsäcker-Williams gluon Wigner distribution in pp collisions
• 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
• Classical and quantum entropy of parton distributions
• Transverse spin effects in hard semi-inclusive collisions
• Elliptic Flow in Small Systems due to Elliptic Gluon Distributions?
• Experimental Aspects of Jet Physics at a Future EIC
• Computing the gluon Sivers function at small-$x$
• Wigner Distributions For Gluons
• Lorentz Invariance and QCD Equation of Motion Relations for Generalized Parton Distributions and the Dynamical Origin of Proton Orbital Angular Momentum
• Sivers and Boer-Mulders GTMDs in Light-front Holographic Quark-diquark Model
• Quark Wigner distribution of the pion meson in light-cone quark model
• Exclusive ${\eta }_c$ production from small-$x$ evolved Odderon at a electron-ion collider
• Wigner distributions for an electron
• Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop
• Exclusive heavy quark-pair production in ultraperipheral collisions
• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
• Azimuthal correlations within exclusive dijets with large momentum transfer in photon-lead collisions
• Solutions to the Balitsky-Kovchegov equation including the dipole orientation
• Twist-4 proton GTMDs in the light-front quark-diquark model
• Probing proton structure with $c\bar{c}$ correlations in ultraperipheral $pA$ collisions
• Exclusive heavy quark photoproduction in $pp$, $pPb$ and $PbPb$ collisions at the LHC and FCC energies
• Single spin asymmetry in forward $pA$ collisions from Pomeron-Odderon interference
• GTMD model predictions for diffractive dijet production at EIC
• Directed flow from parton spin-orbit coupling in $pp$ and $pA$ collisions
• Three Dimensional Imaging of the Nucleon