Cold Nuclear Matter effects on J/ψ production with extrinsic PT at at the LHC

We evaluate the Cold Nuclear Matter effects on J/ψ production in pPb and PbPb collisions at the current LHC energy, taking into account the gluon shadowing and the nuclear absorption. We use the complete kinematics in the underlying 2 → 2 partonic process, namely g + g → J/ψ + g as expected from LO pQCD. The resulting shadowing is responsible for a large J/ψ suppression in pPb and PbPb, and shows a strong rapidity dependence.