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.
The production of vector boson tagged heavy quark jets provides potentially new tools to study jet quenching, especially the mass hierarchy of parton energy loss. In this work, we present the first theoretical study on $Z^0,+,$b-jet in heavy-ion collisions. Firstly utilizing a Monte Carlo transport model, our simulations give nice descriptions of the azimuthal angle correlation $Deltaphi_{jZ}$, transverse momentum imbalance $x_{jZ}$ for $Z^0,+,$jet as well as the nuclear modification factor $R_{AA}$ of inclusive b-jet in Pb+Pb collisions. Then we calculate the azimuthal angular correlation $Deltaphi_{bZ}$ of $Z^0,+,$b-jet and $Deltaphi_{bb}$ of $Z^0,+,2,$b-jets in central Pb+Pb collisions at $sqrt{s_{NN}}=$~5.02 TeV. We find that the medium modification of the azimuthal angular correlation for $Z^0,+,$b-jet has a weaker dependence on $Deltaphi_{bZ}$, as compared to that for $Z^0,+,$jet. With the high purity of quark jet in $Z^0,+,$(b-)jet production, we calculate the momentum imbalance distribution of $x_{bZ}$ of $Z^0,+,$b-jet in Pb+Pb collisions. We observe a smaller shifting of the mean value of momentum imbalance for $Z^0,+,$b-jet in Pb+Pb collisions $Deltaleftlangle x_{bZ} rightrangle$, as compared to that for $Z^0,+,$jet. In addition, we investigate the nuclear modification factors of tagged jet cross sections $I_{AA}$, and show a much stronger suppression of $I_{AA}$ in $Z^0,+,$jet than that of $Z^0,+,$b-jet in central Pb+Pb collisions.
The production cross sections of $J/psi~eta_b$, $Upsilon;eta_c$ pairs in a single boson $e^+e^-$ annihilation have been studied in a wide range of energies, which will be achieved at future $e^+e^-$ colliders. The main color singlet contributions to the production processes are taken into account, including the one loop QCD contribution.