We propose a search for New Physics signals in two lepton final states with the Compact Muon Solenoid operating at the CERN Large Hadron Collider. As compared to other signatures, dileptons are promising for the discovery of New Physics due to the easy trigger, low background rates, well-known cross sections for Standard Model processes, large couplings to new particles in several Standard Model extensions. In the past several particles produced in hadron collisions were discovered in their dilepton final states, as the J/Psi, the Upsilon, and the Z. The LHC might confirm this tradition. Besides exibiting new resonant states, New Physics could be revealed in more complicated topologies with two leptons and several jets. To reject Standard Model processes, background to this searches, the detailed features of these events must be investigated, analyzing the charge correlation of the two leptons, their invariant mass, jet and b-jet multiplicities, missing energy in the plane transverse to the beam direction, etc. We will discuss in detail the case of heavy fermionic partners of the top quark. Preliminary studies show that in this case an early discovery using the first hundreds of inverse picobarn delivered by LHC could take place. The succesfull candidate must possess a robust curriculum in Highh Energy Physics or in Nuclear Physics. Experience in data analysis is required, with knowledge of c++ programming. We do not require previous experience in hadron collider Physics. [1] see for instance : T.Bose, R.Contino, M.Narain e G.Servant "A search for Top partners at the LHC using same-sign dileptons final states" in "New Physics at the LHC : a Les Houches Report", arXiv:0902.3715v1, 25/02/2008