Next-to-leading-order QCD corrections to the yields and polarisations of J/ψ and y directly produced in association with a Z boson at the LHC

We update the study of the production of direct J/ψ in association with a Z boson at the Next-to-Leading Order (NLO) in α _s by evaluating both the yield differential in P _T and the J/ψ polarisation in the QCD-based Colour-Singlet Model (CSM). Contrary to an earlier claim, QCD corrections at small and mid P _T are small if one assumes that the factorisation and the renormalisation scales are commensurate with the Z boson mass. As it can be anticipated, the t-channel gluon-exchange (t-CGE) topologies start to be dominant only for P _T ≠m _Z /2. The polarisation pattern is not altered by the QCD corrections. This is thus far the first quarkonium-production process where this is observed in the CSM. Along the same lines, our predictions for direct Y+Z are also given.