Prompt and non-prompt J/$\psi$ production in pPb collisions with CMS

The mechanisms of charmonium production in the high-density medium created in heavy ion collisions are still not quantitatively understood. In order to disentangle among different mechanisms which changes the charmonium cross section, a multi-dimensional analysis is needed in a wide kinematic range and in various collision systems (pp, pA and AA). This paper will present the first measurement of the prompt and non-prompt J/$\psi$ production with the CMS detector from the pPb collisions at $\sqrt{s_{\rm NN}} = 5.02$~TeV with an integrated luminosity of 34.6~nb$^{-1}$ in 2013. The ratio of the forward and backward production yields is measured in bins of J/$\psi$ kinematics, as well as the event activity.