Abstract : In this thesis we have put the first constraints on the fundamental parameters of the Randall-Sundrum model of extra dimensions, k/M_Pl which is proportional to the coupling of the graviton to the standard model fields and M$_G$ which is the mass of the first excited state of the Kaluza-Klein graviton. The analysis performed on Monte carlo sample of the signal allowed to find an error in the PYTHIA generator. The elaboration of an independent generator dedicated for this special analysis helped to find out and correct the error. The data sample used for the analysis covers the period running from november 2002 up to july 2003 taken by the Dzero collaboration at Tevatron, which corresponds to an accumulated luminosity of 107,8 pb-1. The search for the graviton in the dimuon channel allowed to measure the Z production cross-section times the branching ratio in dimuons.