First-order QCD and leading QED corrections to Higgs-boson production
in the channel e-p --> vH0X;H0 --> bbBAR are calculated for the kinema
tical conditions at LEP X LHC (square-root s = 1360 GeV) and the inter
esting mass range 80 < M(H) < 150 GeV. In the DIS scheme the QCD corre
ctions (not including the corrections to the branching ratio, which ar
e well known) are found to be about 1% for the total cross section and
-13% to -10% for the observable cross section as defined by appropria
te cuts. The latter results depend on the definition of these cuts. Th
e QED corrections amount to about -5%.