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Annihilation cross sections and interaction couplings of the dark matter candidates in the warped and flat extra dimensions

We consider a scenario with an additional scalar standard model singlet $ϕ_S$, living in a single extra dimension of the RS1 background. The zero mode of this scalar which is localized in the extra dimension is a dark matter candidate and the annihilation cross section is strongly sensitive to its localization parameter. As a second scenario, we assume that the standard model Higgs field is accessible to the fifth flat extra dimension. At first we take the additional standard model singlet scalar field as accessible to the sixth extra dimension and its zero mode is a possible dark matter candidate. Second, we consider that the new standard model singlet, the dark matter candidate, lives in four dimensions. In both choices the KK modes of the standard model Higgs field play an observable role for the large values of the compactification radius $R$ and the effective coupling λ_{S} is of the order of 10^{-2}-10^{-1} (10^{-6}) far from (near to) the resonant annihilation.