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The LHC offers unique opportunities for studying the properties of hot QCDmatter created in Pb+Pb collisions at extreme temperatures and very low partonmomentum fractions. With its high precision, large acceptance for tracking andcalorimetry, and a trigger scheme that allows analysis of each minimum biasPb+Pb event, CMS is fully equipped to measure dimuons in the high multiplicityenvironment of Pb+Pb collisions. Such probes are especially relevant since theyare produced at early times and propagate through the medium, mapping itsevolution. The capabilities of the CMS experiment to study dimuon production inpp and Pb+Pb collisions based on the 2010 LHC runs will be reviewed. CMS isable to measure primary and secondary J/psi, as well as the three Upsilonstates. Quarkonia results at sqrt(s)=2.76 TeV in pp and Pb+Pb will bepresented, including a tantalizing observation of suppression of the Upsilonexcited states. The Z0 boson inclusive and differential measurement as a probeof the initial state will be described.

Dimuon results in PbPb and pp collisions in CMS