Charmonium production in Pb-Pb collisions with ALICE at the LHC

We report on published charmonium measurements performed by ALICE, at the LHC, in Pb-Pb collisions at a center of mass energy per nucleon-nucleon collision $\sqrt{s_{\mathrm{N}\mathrm{N}}}=2.76$ TeV, at both mid ($\mathrm{\mid }y\mathrm{\mid }<0.8$) and forward ($2.5<y<4$) rapidities. The nuclear modification factor of inclusive ${\rm J}/\psi$ispresentedasafunctionofthecollisioncentralityandthe${\rm J}/\psi$transversemomentum,$p_{\rm T}$\mathrm{.}Thevariationofthe${\rm J}/\psi$ mean transverse momentum square as a function of the collision centrality is also discussed. These measurements are compared to state of the art models that include one or several of the following mechanisms: color screening of the charm quarks, statistical hadronization at the QGP phase boundary, balance between $\mathrm{J}\mathrm{/}\psi$ dissociation and regeneration in the QGP, $\mathrm{J}\mathrm{/}\psi$ interaction with a dense comoving medium. Results on the production of the heavier and less bound ${\psi }^{\mathrm{\prime }}$ meson in Pb-Pb collisions at forward-rapidity are also presented and compared to both models and measurements performed by other experiments. At mid-rapidity we also report on ALICE unique capability to separate prompt and non-prompt $\mathrm{J}\mathrm{/}\psi$ production down to low $p_{\rm T}$($\geq 1.5$GeV\mathrm{/}$c$)andthusdisentanglebetweeneffectsonprompt${\rm J}/\psi$mesonsandenergylossof$b$ quarks in the QGP.