Search for narrow resonances in the dielectron and dimuon final states with CMS

We describe the main results of a search with the CMS detector for narrow resonances in the dielectron and dimuon mass spectra using $1.1~{{\rm fb}}^{-1}$ of pp collision data at $\sqrt{s} = 7$~TeV delivered by the LHC, highlighting the experimental challenges and differences between the two channels. Both the results of the resonant peak search and exclusion limits as a function of the mass of the new particle are presented.