Abstract
The negative results in the search for Kaluza–Klein graviton modes at the LHC, when confronted with the discovery of the Higgs, have been construed to have severely limited the efficacy of the Randall–Sundrum model as an explanation of the hierarchy problem. We show, though, that the presence of multiple warping offers a natural resolution of this conundrum through modifications in both the graviton spectrum and their couplings to the Standard Model fields.
Highlights
Despite the spectacular success of the Standard Model (SM) of elementary particles, the search for new physics beyond the SM continues
Though, that the presence of multiple warping offers a natural resolution of this conundrum through modifications in both the graviton spectrum and their couplings to the Standard Model fields
The warped geometry model proposed by Randall and Sundrum (RS) [1] turned out to be successful for (i) it resolves the gauge hierarchy problem without bringing in any other intermediate scale in the theory in contrast to the large extra dimensional models; (ii) the modulus of the extra dimensional model can be stabilized to a desired value by the Goldberger-Wise mechanism [2], and (iii) a similar warped solution can be obtained from a more fundamental theory like string theory where extra dimensions appear naturally[3]
Summary
Despite the spectacular success of the Standard Model (SM) of elementary particles, the search for new physics beyond the SM continues. The ATLAS collaboration [5], though, has reported negative results ruling out a level–1 KK graviton in the mass range below 1.03 (2.23) TeV, with the exact lower bound depending on the value chosen for k5/M5 This result immediately brings forth a potential problem for the model, for eqns.(1&2) together demand that m1 mH. This, in turn, would introduce a little hierarchy necessitating a fine tuning of 2-3 orders so that the Higgs mass may be kept ∼ 125 GeV This feature would worsen further if a graviton KK mode continues to elude us in the forthcoming runs of the LHC, as well as in future collider experimnts. Within the context of a generalization of the RS model with additional warped extra dimensions, a lower cutoff appears naturally, in the form of a larger compactification radius. With a brief discussion of the basic features of warped geometry model in 6-dimension with two succesive S1/Z2 orbifoldings
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