Theoretical progress for the associated production of a Higgs boson with heavy quarks at hadron colliders

The production of a Higgs boson in association with a pair of $t\bar{t}$ or $b\bar{b}$ quarks plays a very important role at both the Tevatron and the Large Hadron Collider. The theoretical prediction of the corresponding cross sections has been improved by including the complete next-to-leading order QCD corrections. After a brief introduction, we review the results obtained for both the Tevatron and the Large Hadron Collider.