Laser-assisted electron-impact ionization of atoms at high impact energy and large momentum transfer

We consider theoretically ionization of an atomic target by fast electron impact at large energy and momentum transfer and in the presence of laser radiation. For atomic hydrogen embedded in a linearly or circularly polarized laser field, we discuss how the polarization-vector orientation influences the momentum-dependent (e, 2e) differential cross sections assisted by exchange of few photons between the colliding system and the field.