  Asymptotic analytic solutions of the Dirac equation, giving the scattering
modes (of the continuous energy spectrum, $E>mc^2$) in Schwarzschild's chart
and Cartesian gauge, are used for building the partial wave analysis of Dirac
fermions scattered by black holes. The contribution of the bound states to
absorption and possible resonant scattering is neglected because of some
technical difficulties related to the discrete spectrum that is less studied so
far. In this framework, the analytic expressions of the differential cross
section and induced polarization degree are derived in terms of scattering
angle, mass of the black hole, energy and mass of the fermion. Moreover, the
closed form of the absorption cross section due to the scattering modes is
derived showing that in the high-energy limit this tends to the event horizon
area regardless of the fermion mass (including zero). A graphical study
presents the differential cross section analyzing the forward/backward
scattering (known also as glory scattering) and the polarization degree as
functions of scattering angle. The graphical analysis shows the presence of
oscillations in scattering intensity around forward/backward directions,
phenomena known as spiral scattering. The energy dependence of the differential
cross section is also established by using analytical and graphical methods.
