We present a next-to-leading-order calculation of the production of a Z boson with two jets, one or more of which contains a heavy quark (Q=c,b). We show that the cross section with only one heavy-quark jet is larger than that with two heavy-quark jets at both the Fermilab Tevatron and the CERN LHC. These processes are the dominant irreducible backgrounds to a Higgs boson produced in association with a Z boson, followed by h->bb. Our calculation makes use of a heavy-quark distribution function, which resums collinear logarithms and makes the next-to-leading-order calculation tractable.
Maltoni, F., & et al. (2006). Production of a Z boson and two jets with one heavy-quark tag. Physical review. D, Particles and fields, D73, 54007. https://doi.org/10.1103/PhysRevD.73.054007 (Original work published 2006)