  We present analytic results for the partonic cross-sections contributing to
the top-bottom interference in Higgs production via gluon fusion at hadron
colliders at NLO accuracy in QCD. We develop a method of expansion in small
bottom-mass for master integrals and combine it with the usual infinite
top-mass effective theory. Our method of expansion admits a simple algorithmic
description and can be easily generalized to any small parameter. These results
for the integrated cross-sections will be needed in the computation of the
renormalization counter-terms entering the computation of finite bottom-quark
mass effects at NNLO.
