  We consider high energy electron scattering by hydrogen atoms in the presence
of a laser field of moderate power and higher frequencies. If the field is a
superposition of a linearly and a circularly polarized laser beam in a
particular configuration, then we can show that circular dichroism in two
photon transitions can be observed not only for the differential but also for
the integrated cross sections, provided the laser-dressing of the atomic target
is treated in second order perturbation theory and the coupling between
hydrogenic bound and continuum states is involved.
