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The ALICE Collaboration has studied inclusive $\psi$(2S) production in pp,p-Pb and Pb-Pb collisions with the ALICE Muon Spectrometer which covers therapidity range 2.5 $<$ $y_{\rm lab}$ $<$ 4. The $\psi$(2S) measurement wasperformed in the dimuon decay channel. The $\psi$(2S) production cross-sectionand $\psi$(2S) to J/$\psi$ cross-section ratio in pp collisions will bepresented, both integrated and differential in rapidity and in transversemomentum. In p-Pb collisions, $\psi$(2S) results will be compared to theJ/$\psi$ ones by means of the production cross-section ratio and the doubleratio [$\psi$(2S)/J/$\psi$]$_{{\mathrm{pPb}}}$/[$\psi$(2S)/J/$\psi$]$_{{\mathrm {pp}}}$ studied as a function of theresonance transverse momentum and event activity of the collision. The$\psi$(2S) nuclear modification factor, $R_{{\mathrm {pPb}}}$, will also bepresented. Theoretical models based on nuclear shadowing, coherent energy lossor both cannot describe our results. Therefore other mechanisms must be invokedin order to describe the $\psi$(2S) production. Finally, results on $\psi$(2S)production in Pb-Pb collisions will be shown in two transverse momentum rangesas a function of centrality.

Inclusive $\psi$(2S) production at forward rapidity in pp, p-Pb and Pb-Pb collisions with ALICE at the LHC