Signature of Randall-Sundrum Quantum Gravity model in γγ scattering in the

Signature of Randall-Sundrum Quantum Gravity model in γγ scattering in the TeV range. Abstract We examine the implications of the Randall-Sundrum gravity models on γγ scattering in the TeV range. It has recently been proposed that the scale of weak interactions M ∼ 1T eV is the only fundamental scale of energy in the description of particle interactions. The conventional scale of gravitational interactions, the Planck scale M pl ≫ M is no longer fundamental but arises out of a Kaluza-Klein compactification of a higher dimensional space-time into four dimensions. In the first such proposals of weak scale quantum gravity (WSQG), one starts with (4 + n)-dimensional space-time with the standard model (SM) fields confined to a three-brane that we live in [1]. Gravity, on the other hand, is postulated to propagate in the full space-time including the n extra dimensions which are assumed to be compact of size r c. For distances r ≪ r c , gravity is no different from other SM interactions, but for r ≫ r c the net effect of propagation of gravitons in the extra compact dimensions is to make strength of the gravitational interactions from 1/M , via the relation: M 2 pl ∼ M n+2 · r 2 c. (1) For M ∼ 1 − 10T eV , this last equation gives as low as 1mm, which is the current experimental limit of validity of Newtonian gravity law. This scenario has interesting phenomenological implications in TeV-scale physics [2] as well as in the precise values of certain experimentally measurable low energy parameters like (g −2) of the muon [3]. The existence of the n-compact dimensions of course