Production of $J/\psi$ within the soft gluon resummation approach and nonrelativistic QCD

In our study we analyse prompt $J/\psi$ production in proton-proton collisions within the Soft Gluon Resummation approach, collinear parton model and nonrelativistic QCD. We extract a set of long-distance matrix elements for octet color states from experimental data at $\sqrt s = 200$ GeV. We use the InEW scheme for matching cross section and description of $J/\psi$ production in a domain of intermediate transverse momenta. We also provide prediction for $J/\psi$ production using fitted matrix elements at the kinematics of SPD NICA.