  We compute the total cross-section for Higgs boson production in bottom-quark
fusion using the so-called FONLL method for the matching of a scheme in which
the $b$-quark is treated as a massless parton to that in which it is treated as
a massive final-state particle, and extend our previous results to the case in
which the next-to-next-to-leading-log five-flavor scheme result is combined
with the next-to-leading-order O(as^3) four-flavor scheme computation.
