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We study exclusive dijet production in electron-proton deep inelasticscattering at a future Electron Ion Collider. We predict the ellipticmodulation of the cross section as a function of the angle between the dijettransverse momentum and the recoil momentum, and show that this modulation isdue to non-trivial angular correlations between the transverse coordinate andtransverse momentum in the Wigner (or Husimi) distribution. The small-$x$evolution is shown to decrease the elliptic modulation in the EIC kinematics,because of the growth of the proton with decreasing $x$.

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