Determination of the Fundamental Scale of Gravity and the Number of Space-time Dimensions from High Energetic Particle Interactions

Within the ADD-model, we elaborate an idea by Vacavant and Hinchliffe and show quantitatively how to determine the fundamental scale of TeV-gravity and the number of compactified extra dimensions from data at LHC. We demonstrate that the ADD-model leads to strong correlations between the missing $E_T$ in gravitons at different center of mass energies. This correlation puts strong constraints on this model for extra dimensions, if probed at $\sqrt{s}=5.5$ TeV and $\sqrt{s}=14$ TeV at LHC.