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.

19 pages, 20 figures

References in corpus (10)

• The Color Glass Condensate
• Generalized parton correlation functions for a spin-1/2 hadron
• Quark Wigner Distributions and Orbital Angular Momentum
• Resumming double logarithms in the QCD evolution of color dipoles
• Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
• Wigner Distributions for Gluons in Light-front Dressed Quark Model
• Quark Wigner distributions in a light-cone spectator model
• Correlation of small-x gluons in impact parameter space
• Use of the Husimi distribution for nucleon tomography
• Jet energy flow at the LHC

Cited by in corpus (16)

• Accessing the gluon Wigner distribution in ultraperipheral $pA$ collisions
• Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate
• Anisotropy in Dijet Production in Exclusive and Inclusive Processes
• The elliptic gluon GTMD inside a large nucleus
• Transverse spin effects in hard semi-inclusive collisions
• Computing the gluon Sivers function at small-$x$
• Exclusive ${\eta }_c$ production from small-$x$ evolved Odderon at a electron-ion collider
• Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop
• Azimuthal correlations within exclusive dijets with large momentum transfer in photon-lead collisions
• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
• 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
• 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