Abstract
We study coherent diffractive dijet production in electron-hadron and electron-nucleus collisions within the dipole picture. We provide semi-analytic results for the differential cross section and elliptic anisotropy in the angle between dijet transverse momentum and hadron recoil momentum. We demonstrate the direct relation between angular moments of the dipole amplitude in coordinate space and angular moments of the diffractive dijet cross sections. To perform explicit calculations we employ two different saturation models, extended to include the target geometry. In the limit of large photon virtuality or quark masses, we find fully analytic results that allow direct insight into how the differential cross section and elliptic anisotropy depend on the saturation scale, target geometry, and kinematic variables. We further provide numerical results for more general kinematics in collisions at a future electron-ion collider, and study the effects of approaching the saturated regime on diffractive dijet observables.
Highlights
Exclusive dijet production in coherent diffractive processes in electron-nucleus scattering provides important information on the structure of the target in both coordinate and momentum space
Diffractive dijet production in photon-hadron collisions was studied in the dipole picture [10,11], which is an appropriate framework for high energy collisions
We numerically evaluate the semianalytic formulas for the differential cross section dσ0=dΩ and the elliptic anisotropy dσ2=dΩ in Eqs. (28) and (36) using the dipole amplitude of the impact parameter dependent MV model of Eqs. (42) and (43) together with the projection formulas in Eq (38)
Summary
Exclusive dijet production in coherent diffractive processes in electron-nucleus (and electron-hadron) scattering provides important information on the structure of the target in both coordinate and momentum space. It was shown [1,2] that diffractive dijet production cross sections can be directly related to the fivedimensional gluon Wigner distribution of the target [3,4]. This can be used to constrain both generalized parton distributions [5,6] and transverse momentum dependent parton distributions [7,8,9]. The dependence of the cross section on the angle between those two momenta exhibited quite a complex behavior with the sign and magnitude of the elliptic anisotropy coefficient depending on the photon
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