Coherent and incoherent deeply virtual Compton scattering in electron–ion collisions at the EIC and LHeC

In this paper we investigate the deeply virtual Compton scattering (DVCS) process in electron–ion collisions at the Electron–Ion Collider (EIC) and Large Hadron Electron Collider (LHeC). The coherent and incoherent DVCS cross sections and differential distributions are estimated considering the possible states of nucleon configurations in the nuclear wave function and taking into account of the nonlinear corrections to the QCD dynamics. The impact of the nonlinear (saturation) effects is estimated. Our results indicate that a future experimental analysis of these processes can shed light on the description of the QCD dynamics at high energies.