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We present results from the ALICE experiment on the inclusive J/Psiproduction in pp collisions at sqrt(s)=2.76 and 7 TeV. The integrated anddifferential cross sections are evaluated down to pT=0 in two rapidity ranges,|y|<0.9 and 2.5<y<4, in the dielectron and dimuon decay channel respectively.The measurement at sqrt(s)=2.76 TeV, the same energy as Pb-Pb collisions,provides a crucial reference for the study of hot nuclear matter effects onJ/Psi production. The J/Psi yield in pp collisions at sqrt(s)=7 TeV has alsobeen studied as a function of the charged particle multiplicity and firstresults are presented.

Measurement of J/Psi production in pp collisions at sqrt(s)=2.76 and 7 TeV with ALICE