Associated Production of a KK-Graviton with a Higgs Boson via Gluon Fusion at the LHC

In order to solve the hierarchy problem, several extra-dimensional models have received considerable attention. We have considered a process where a Higgs boson is produced in association with a KK-graviton ($G_{\mathrm{K}\mathrm{K}}$) at the LHC. At the leading order, this process occurs through gluon fusion mechanism $gg\to h{G}_{\mathrm{K}\mathrm{K}}$ via a quark loop. We compute the cross section and examine some features of this process in the ADD model. We find that the quark in the loop does not decouple in the large quark-mass limit just as in the case of $gg\to h$ process. We compute the cross section of this process for the case of the RS model also. We examine the feasibility of this process being observed at the LHC.