Abstract
In search of extra dimensions in the ongoing LHC experiments, signatures of Randall-Sundrum (RS) lightest KK graviton have been one of the main focus in recent years. The recent data from the dilepton decay channel at the LHC has determined the experimental lower bound on the mass of the RS lightest Kaluza-Klein (KK) graviton for different choices of underlying parameters of the theory. In this work we explore the effects of the backreaction of the bulk scalar field, which is employed to stabilise the RS model, in modifying the couplings of the lightest KK graviton with the standard model (SM) matter fields located on the visible brane. In such a modified background geometry we show that the coupling of the lightest KK graviton with the SM matter fields gets a significant suppression due to the inclusion of the backreaction of the bulk stabilising scalar field. This implies that the backreaction parameter weakens the signals from RS scenario in collider experiments which in turn explains the non-visibility of KK graviton in colliders. Thus we show that the modulus stabilisation plays a crucial role in the search of warped extra dimensions in collider experiments.
Highlights
IntroductionThe two most popular models, proposed in the context of this problem, are supersymmtery and extra-dimensional models [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24]
We consider a generalised version of RS model where the effect of the back-reaction due to the stabilising bulk scalar field on the background spacetime has been taken into consideration
We aim to study the contribution of this back-reaction on the mass of the lightest KK graviton and its couplings to the standard model (SM) matter fields
Summary
The two most popular models, proposed in the context of this problem, are supersymmtery and extra-dimensional models [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24]. In the absence of any signature of supersymmetry near the TeV scale so far, the significance of the presence of the extra dimension continues to grow Among these models the warped geometry model proposed by Randall and Sundrum [12,13] assumed a special significance, because: (a) it resolves the gauge hierarchy problem without introducing any other intermediate scale in the theory, (b) the modulus of the extra dimension can be stabilised by introducing a bulk scalar field [25] without any unnatural fine tuning of the parameter of the model. Continues to encounter a longstanding but unresolved question in the context of the stability of the mass of Higgs boson against a large radiative correction, known as the gauge hierarchy/fine tuning problem
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