Inclusive and diffractive dijet photoproduction at the Electron-Ion Collider in NLO QCD

In the framework of collinear factorization and next-to-leading order (NLO) perturbative QCD, we make predictions for inclusive and diffractive dijet photoproduction in electron-proton and electron-nucleus scattering in the EIC kinematics. We establish kinematic ranges in the ${\bar{p}}_T$, $\bar{\eta }$, $x_A^{\mathrm{o}\mathrm{b}\mathrm{s}}$ and $x_{\gamma }^{\mathrm{o}\mathrm{b}\mathrm{s}}$ variables, quantify sensitivity to small-$x$ nuclear PDFs, and analyze various scenarios of factorization breaking in the case of diffractive scattering.