Determination of the fundamental scale of gravity and the number of space-time dimensions from high energetic particle interactions

Abstract Within the ADD-model, we elaborate an idea by Vacavant and Hinchliffe [J. Phys. G 27 (2001) 1839] 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 s = 5.5 TeV and s = 14 TeV at LHC.