Diffractive dijet production from the Color Glass Condensate and the small-x gluon distributions

Abstract

We study exclusive dijet production in electron-proton deep inelastic scattering at the future Electron Ion Collider. We predict the elliptic modulation of the cross section as a function of the angle between the dijet transverse momentum and the recoil momentum, and show that this modulation is a result of having non-trivial angular correlations in the Wigner and Husimi distributions between the transverse coordinate and transverse momentum. The small-x evolution is shown to decrease the elliptic modulation in the EIC kinematics, due to the growth of the proton with decreasing x.