Yields and polarizations of prompt J/ψ and ψ(2S) production in hadronic collisions

We give predictions of J/psi and psi(2S) yields and polarizations in prompt production at hadron colliders based on non-relativistic QCD factorization formula. We calculate short-distance coefficients of all important color-octet intermediate channels as well as color-singlet channels up to O(alpha(4)(S)), i.e. next-to-leading order in alpha(S). For prompt J/psi production, we also take into account feeddown contributions from chi(cJ)(J=0,1,2) and psi(2S) decays. Color-singlet long-distance matrix elements (LDMEs) are estimated by using potential model, and color-octet LDMEs are extracted by fitting the Tevatron yield data only. The predictions are satisfactory for both yields and polarizations of prompt J/psi and prompt psi(2S) production at the Tevatron and the LHC. In particular, we find our predictions for polarizations of prompt J/psi production have only a little difference from our previous predictions for polarizations of direct J/psi production.