J/ψ, ψ′ and Y production at hadron colliders:: A review

We give an overview of the present status of knowledge of the production of J/psi, psi' and T in high-energy hadron collisions. We first present two early models, namely the Color-Singlet Model (CSM) and the Color-Evaporation Model (CEM). The first is the natural application of pQCD to quarkonium production and has been shown to fail dramatically to describe experimental data, the second is its phenomenological counterpart and was introduced in the spirit of the quark-hadron duality in the late 1970's. Then, we expose the most recent experimental measurements of J/psi, psi' and T prompt and direct production at nonzero p(T) from two high-energy hadron colliders, the Tevatron and RHIC. In a third part, we review six contemporary models describing J/psi, psi' and T production at nonzero p(T).