Determination of the Fundamental Scale of Gravity and the Number of Spacetime Dimensions f.pdfVIP

Determination of the Fundamental Scale of Gravity and the Number of Space-time Dimensions from High Energetic Particle Interactions J. Ruppert,1 C. Rahmede,2, 3 and M. Bleicher3 1Department of Physics, Duke University, Science Drive, Box 90305 Durham, NC 27708, USA 2SISSA, Scuola Internazionale Superiore di Studi Avanzati, via Beirut 4, 34014 Trieste, Italy 3Institut f¨ur Theoretische Physik, J. W. Goethe Universit¨at, Robert-Mayer-Str. 10, 60054 Frankfurt am Main, Germany Within the ADD-model, we elaborate an idea by While supernova cooling gives a very tight constraint Vacavant and Hinchliffe [1] and show quantitatively how of MD 500 TeV for δ = 2, more than two extra dimen- to determine the fundamental scale of TeV-gravity and sions lead to constraints of MD of the order of a TeV. 5 the number of compactified extra dimensions from data The Tevatron data constraints MD to be of the order or 0 0 at LHC. We demonstrate that the ADD-model leads to above 1 TeV. 2 strong correlations between the missing ET in gravitons In this letter we elaborate on an idea by Vacavant and at different center of mass energies. This correlation puts Hinchliffe [1]. They discuss qualitatively how to deter- n strong constraints on this model for extra dimensions, if mine the number of extra dimensions from the ratio of √ √ a J probed at s = 5.5 TeV and s = 14 TeV at LHC. cross sections for miss