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 McLerranVenugopalan initial configuration and the explicit numerical solution of the Jalilian-Marian–Iancu– McLerran–Weigert–Leonidov–Kovner equations. We determine the leading anisotropy of the Wigner and Husimi distributions as a function of the angle between the 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 þ p collisions within the same framework. Specifically, we predict the elliptic modulation of the cross section as a function of the relative angle between the nucleon recoil and dijet transverse momentum for a wide kinematical range.We further predict its dependence on the collision energy, which is dominated by the growth of the proton with decreasing x.