We report on QCD radiative corrections to heavy quark production valid at h
igh energy. The formulae presented will allow a matched calculation of the
total cross section which is correct at O(alpha (3)(s)) and includes resumm
ation of all terms of order alpha (3)(s) [alpha (s) 1n(s/m(2))](n). We also
include asymptotic estimates of the effect of the high energy resummation.
A complete description of the calculation of the heavy quark impact factor
is included in an appendix.