Some of the most interesting Higgs-production processes at future e+ e-
colliders are of the type e+ e- -> f anti-f H. We present a calculation of the
complete O(alpha) corrections to these processes in the Standard Model for
final-state neutrinos and top quarks. Initial-state radiation beyond O(alpha)
at the leading-logarithmic level as well as QCD corrections are also included.
The electroweak corrections turn out to be sizable and reach the order of
+/-10% and will thus be an important part of precise theoretical predictions
for future e+ e- colliders.Comment: 4 pages, LaTeX, 4 postscript figures, talk given at Loops and Legs
2004, 7th DESY Workshop on Elementary Particle Theory, Zinnowitz, German