Speaker
Description
We calculate the production of polarized $J/\psi$ to probe the transverse momentum dependent (TMD) quark and gluon PDFs in the proton. Within the TMD framework we calculate the 18 leading order fragmentation functions for light quarks fragmenting to a $J/\psi$, considering all possible parton and hadron polarizations. We also calculate the production of $J/\psi$ from photon-gluon fusion within the collinear factorization framework. We use non-relativistic QCD (NRQCD) to write the cross sections in terms of perturbative coefficients and non-perturbative NRQCD matrix elements. We then make predictions for semi-inclusive deep inelastic scattering cross sections relevant for the future Electron Ion Collider, identifying the different kinematic regions where each production mechanism dominates.