On the computation of finite bottom-quark mass effects in Higgs boson production

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.