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The inclusive $J/\psi$ nuclear modification factor $R_{\rm AA}$ in Pb-Pbcollisions at $\sqrt{s_{\rm NN}}$=2.76 TeV has been measured by ALICE as afunction of centrality in the e$^+$e$^-$ decay channel at mid-rapidity$|y|<0.8$ and as a function of centrality, transverse momentum and rapidity inthe $\mu^{+}\mu^{-}$ decay channel at forward-rapidity $2.5<y<4$.The $J/\psi$yields measured in Pb-Pb are suppressed compared to those in pp collisionsscaled by the number of binary collisions. The $R_{\rm AA}$ integrated over acentrality range corresponding to 90% of the inelastic Pb-Pb cross section is$0.72\pm0.06$ (stat.) $\pm0.10$ (syst.) at mid-rapidity and $0.57 \pm 0.01$(stat.) $\pm0.09$ (syst.) at forward-rapidity. At low transverse momentum,significantly larger values of $R_{\rm AA}$ are measured at forward-rapiditycompared to measurements at lower energy. These features suggest that acontribution to the $J/\psi$ yield originates from charm quarks (re)combinationin the deconfined partonic medium.

Centrality, rapidity and transverse momentum dependence of $J/\psi$ suppression in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$=2.76 TeV