Search for Randall-Sundrum excitations of gravitons decaying into two photons for CMS at LHC

The CMS detector discovery potential for resonant production of the massive Kaluza - Klein excitations predicted by the Randall- Sundrum model is studied. Full simulation and reconstruction are used to study the diphoton decay of Randall-Sundrum gravitons. For an integrated luminosity of 30 fb${}^{-1}$, the diphoton decay of Randall- Sundrum gravitons can be discovered at the 5$\sigma$ level for masses up to 1.61 ${}TeV/c^2$ for the case of weak coupling between graviton excitations and Standard model particles ($c=0.01$). Heavier resonances can be detected if the coupling is larger ($c=0.1$), with a mass reach of 3.95 ${}TeV/c^2$.