The Search for Large Extra Dimensions using Dijet Production from pp Collisions at 1.8 TeV :: Physics Papers

The Search for Large Extra Dimensions using Dijet Production from pp Collisions at 1.8 TeV Abstract The search for extra dimensions has been a topic of great interest and has been investigated with a variety of methods and techniques of analysis.[1,2,3,4] The existence of Large Extra Dimensions (LED) can be determined given that (at ~ Mew or greater) gravity and its mediator, the graviton (spin 2), can access these extra dimensional manifolds. Atwood has developed a model using hadron colliders and the cross-sections for a 2 T 2 hadronic dijet process.[2] We propose to use this model and to make a best fit as well as to establish bounds using Ms, the Planck energy scale for when quantum gravity causes a noticeable change from the SM, and n, the number of compacted extra dimensions. Introduction Popular string theories predict a 10 + 1 dimension space-time with the extra dimensions creating compacted manifolds. However, the size of these manifolds would be on the order of 10-35 m, and the energy needed for experimental test is significantly far out of the range of even very imaginative future colliders. The model proposed by Arkani-Hamed, Dimopoulos, and Dvali (ADD) introduces the possibility for extra dimensions (ED) to exist in order to solve the hierarchy problem of the physics at two very different energy scales. The first scale is the current experimental scale where physics is dictated by the SM (~Mew, the electro-weak scale), and the other scale is at the Planck scale (MPl).[1] In addition, ED may also help explain losses in transverse momenta and monojet events.[1,2,3,4]. The strength of gravity is about 1037 times weaker than the weak nuclear force. At some point on the energy scale, as most physics and especially Grand Unified Theories seem to indicate, all of the forces must be â€Å"unified.† This will certainly happen around the Planck energy scale (MPl  » 1017 GeV). Although the three strongest forces appear to be coming closer in relative strength with increasing energy, an extrapolation of the coupling constants for these forces using the SM will not cross at the same point.[5] However, supersymmetry and other related theories such as Technicolor, which have be cleverly devised in part to solve this (7s) problem, seem to predict that they will cross together with additional physics beyond the SM.[1,5] On the other hand, if unification is to occur, at some point gravity must make a tremendous climb in strength to be unified with the other forces.