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 $x$.
Highlights
Diffractive processes in deep inelastic scattering of electrons off protons or heavier nuclei can provide important information on the target’s structure in coordinate and momentum space [1]
We focus on dijet kinematics in the so-called correlation limit and predict the dependence of elliptic modulations as a function of the relative angle between the nucleon recoil and dijet transverse momentum on collision energy and kinematics, which can be tested at a future electron-ion collider (EIC)
IV we present our results for diffractive dijet production cross sections in e þ p collisions at typical EIC energies
Summary
Diffractive processes in deep inelastic scattering of electrons off protons or heavier nuclei can provide important information on the target’s structure in coordinate and momentum space [1]. At very small x the color glass condensate effective theory, describing quantum chromodynamics (QCD) in the high-energy limit, is a suitable framework to compute diffractive processes In this framework, slow modes in the fast-moving target are highly occupied gluon fields, which can be described classically by the Yang-Mills equations. We focus on dijet kinematics in the so-called correlation limit and predict the dependence of elliptic modulations as a function of the relative angle between the nucleon recoil and dijet transverse momentum on collision energy and kinematics, which can be tested at a future EIC We compute diffractive cross sections for charm jets from the CGC in Sec. IV B and study the dependence of the elliptic Fourier coefficient on the dijet momentum, photon virtuality and collision energy. In Appendix B we discuss conventions for transverse dijet momentum variables and in Appendix C we investigate the dependence of azimuthal dijet correlations on the proton size
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