Production of heavy quarkonia in hadronic experiments

Processes of single and pair production of heavy quarkonia under LHC conditions have been studied within nonrelativistic quantum chromodynamics. Constraints on the matrix elements of color-singlet and color-octet states have been obtained by analyzing the existing experimental data. It has been shown that the leading contribution to the cross sections for these processes comes from the color singlet mechanism with the singlet matrix elements exceeding phenomenological values obtained from the solutions of potential models or experimental decay widths of the corresponding mesons. It has also been found that the contribution from color-octet states should be taken into account to describe the ratio of the cross sections for the production of tensor and axial charmonia. These results have been used to analyze the single production of bottomonia, the pair production of heavy quarkonia, and the production of vector charmonium in jets. The resulting theoretical predictions are in good agreement with experimental data.