Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate

Abstract

Experimental processes that are sensitive to parton Wigner distributions provide a powerful tool to advance our understanding of proton structure. In this work, we compute gluon Wigner and Husimi distributions of protons within the Color Glass Condensate framework, which includes a spatially dependent McLerran-Venugopalan initial configuration and the explicit numerical solution of the JIMWLK equations. We determine the leading anisotropy of the Wigner and Husimi distributions as a function of the angle between impact parameter and transverse momentum. We study experimental signatures of these angular correlations at a proposed Electron Ion Collider by computing coherent diffractive dijet production cross sections in e+p collisions within the same framework. Specifically, we predict the elliptic modulation of the cross section as a function of the relative angle between nucleon recoil and dijet transverse momentum for a wide kinematical range. We further predict its dependence on collision energy, which is dominated by the growth of the proton with decreasing $x$.

prefactors for longitudinal and transverse cross sections corrected, figures updated, typos corrected, 20 pages, 22 figures

References in corpus (27)

• The Color Glass Condensate
• Universality of Unintegrated Gluon Distributions at small x
• NLO evolution of color dipoles
• Relations between generalized and transverse momentum dependent parton distributions
• Generalized parton correlation functions for a spin-1/2 hadron
• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• Quark Wigner Distributions and Orbital Angular Momentum
• Azimuthal correlations of forward di-hadrons in d+Au collisions at RHIC in the Color Glass Condensate
• Comprehensive description of $J/\psi$ production in proton-proton collisions at collider energies
• Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
• Revealing proton shape fluctuations with incoherent diffraction at high energy
• J/Psi production in ultraperipheral Pb+Pb and p+Pb collisions at energies available at the CERN Large Hadron Collider
• Forward dihadron correlations in deuteron-gold collisions with a Gaussian approximation of JIMWLK
• Exclusive diffractive processes in electron-ion collisions
• Nuclear enhancement and suppression of diffractive structure functions at high energies
• Forward $J/\psi$ production in proton-nucleus collisions at high energy
• The shape of the proton at high energies
• Accessing the gluon Wigner distribution in ultraperipheral $pA$ collisions
• On the running coupling in the JIMWLK equation
• NLO JIMWLK evolution unabridged
• Diffractive photoproduction of dijets in ep collisions at HERA
• Wigner, Husimi and GTMD distributions in the Color Glass Condensate
• Constructing phase space distributions with internal symmetries
• Dynamical entropy of dense QCD states
• Ballistic protons in incoherent exclusive vector meson production as a measure of rare parton fluctuations at an Electron-Ion Collider
• Review of factorization breaking in diffractive photoproduction of dijets
• Use of the Husimi distribution for nucleon tomography

Cited by in corpus (29)

• 50 Years of Quantum Chromodynamics
• Mining for Gluon Saturation at Colliders
• Imaging the nucleus with high-energy photons
• The Present and Future of QCD
• Nucleon Energy Correlators for the Color Glass Condensate
• Bayesian inference of the fluctuating proton shape
• Probing parton saturation and the gluon dipole via diffractive jet production at the Electron-Ion Collider
• Signature of the gluon orbital angular momentum
• One-Loop Corrections to Dihadron Production in DIS at Small $x$
• Multi-scale Imaging of Nuclear Deformation at the Electron Ion Collider
• Semi-inclusive Diffractive Deep Inelastic Scattering at Small-$x$
• Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections
• Diffractive deep inelastic scattering at NLO in the dipole picture: the $q\bar{q}g$ contribution
• Harmonics of Parton Saturation in Lepton-Jet Correlations at the EIC
• Dihadron Production in DIS at Small $x$ at Next to Leading Order: Transverse Photons
• Quark and gluon entanglement in the proton on the light cone at intermediate $x$
• Proton hot spots and exclusive vector meson production
• Energy evolution of T-odd gluon TMDs at small $x$
• Finite-size effects on small-$x$ evolution and saturation in proton and nuclear targets
• Incoherent diffractive dijet production in electron DIS off nuclei at high energy
• 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
• New opportunities at the photon energy frontier
• Probing proton structure with $c\bar{c}$ correlations in ultraperipheral $pA$ collisions
• Incoherent diffractive dijet production and gluon Bose enhancement in the nuclear wave function
• Effective Field Theory Factorization for Diffraction
• Exclusive photoproduction of $B_c^{\pm }$ and bottomonia pairs
• GTMD model predictions for diffractive dijet production at EIC
• Azimuthal asymmetries in lepton and heavy-quark pair production in UPCs