We compute the next-to-leading order impact factor for inclusive dijet production in deeply inelastic electron-nucleus scattering at small xBj. Our computation, performed in the framework of the Color Glass Condensate effective field theory, includes all real and virtual contributions in the gluon shock wave background of all-twist lightlike Wilson line correlators. We demonstrate explicitly that the rapidity evolution of these correlators, to leading logarithmic accuracy, is described by the JIMWLK Hamiltonian. When combined with the next-to-leading order JIMWLK Hamiltonian, our results for the impact factor improve the accuracy of the inclusive dijet cross-section to $$ \mathcal{O} $$
O
($$ {\alpha}_s^2 $$
α
s
2
ln(xf/xBj)), where xf is a rapidity factorization scale. These results are an essential ingredient in assessing the discovery potential of inclusive dijets to uncover the physics of gluon saturation at the Electron-Ion Collider.
We study inclusive and diffractive dijet production in electron-proton and electron-nucleus collisions within the Color Glass Condensate effective field theory. We compute dijet cross sections differentially in both mean dijet transverse momentum P and recoil momentum ∆, as well as the anisotropy in the relative angle between P and ∆. We use the nonlinear Gaussian approximation to compute multiparticle correlators for general small x kinematics, employing running coupling Balitsky-Kovchegov evolution to determine the dipole amplitude at small x. Our results cover a much larger kinematic range than accessible in previous computations performed in the correlation limit approximation, where it is assumed that |P | |∆|. We validate this approximation in its range of applicability and quantify its failure for |P | |∆|. We also predict significant targetdependent deviations from the correlation limit approximation for |P | > |∆| and |P | Qs, which offers a straightforward test of gluon saturation and access to multi-gluon distributions at a future electron ion collider. arXiv:1912.05586v1 [nucl-th]
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