  This contribution presents the latest predictions for several QCD processes
at low-x in the color dipole picture which are of interest for current
hadron-hadron and future electron-hadron colliders. The predictions are derived
using the solution to the Balitsky-Kovchegov equation for proton and nuclear
targets. Two different approaches to the nuclear case are studied: a solution
obtained using a newly proposed type of initial condition which represents the
initial state of a given nucleus and the solutions based on an initial
condition representing a proton coupled to a Glauber-Gribov prescription. The
influence from the different energy evolutions of these two approaches are
studied in the following photo-nuclear processes: inclusive and diffractive
DIS, coherent production of a J/psi meson in ultra-peripheral collisions, and
the deeply virtual Compton scattering. By comparison to the available data from
HERA and the LHC and to the other models inspired by the Color Glass Condensate
framework, it is demonstrated that the future measurements will be useful to
discriminate among different approaches to saturation physics. The contribution
was presented at the Hot Quarks 2022 - Workshop for young scientists on the
physics of ultrarelativistic nucleus-nucleus collisions, Dao House, Colorado,
USA, October 11-17 2022.
