  We present the leading order unpolarized and polarized cross sections in
electroweak semi-inclusive deep inelastic leptoproduction. The azimuthal
dependences in the cross section differential in the transverse momentum of the
vector boson arise due to intrinsic transverse momenta of the quarks. However,
the presented asymmetries are not suppressed by inverse powers of the hard
scale. We discuss the different opportunities to measure specific asymmetries
as offered by neutral compared to charged current processes and point out the
optimal kinematical regions. The present and (proposed) future HERA collider
experiments would be most suitable for measuring some of the asymmetries
discussed here, especially in case of Lambda production.
