The contribution of virtual s-channel Kaluza-Klein (KK) gravitons to high energy scattering of the SM fields in the Randall-Sundrum (RS) model with two branes is studied. The small curvature option of the RS model is considered in which the KK gravitons are narrow low-mass spin-2 resonances. The analytical tree-level expression for a process-independent gravity part of the scattering amplitude is derived, accounting for nonzero graviton widths. It is shown that one cannot get a correct result, if a series of graviton resonances is replaced by a continuous mass distribution, in spite of the small graviton mass splitting. Such a replacement appeared to be justified only in the trans-Planckian energy region.

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The inelastic scattering of the brane fields induced by t-channel gravireggeons exchanges in the RS model with a small curvature κ is considered, and the imaginary part of the eikonal is analytically calculated. It is demonstrated that the results can be obtained from the corresponding formulae previously derived in the ADD model with one extra dimension of the size R c by formal replacement R c → (πκ) −1 . The inelastic cross section for the scattering of ultra-high neutrino off the nucleon is numerically estimated for the case κ ≪M 5 ∼ 1 TeV, whereM 5 is a reduced Planck scale in five warped dimensions.

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The p ⊥ -distribution for the diphoton production at the LHC is calculated in the modified Randall-Sundrum model with a small curvature of the space-time κ, and 5-dimensional Planck scale M 5 in the TeV region. The discovery limits on M 5 are obtained to be 9.4 TeV and 11.6 TeV for the integrated luminosities 30 fb −1 and 100 fb −1 , respectively. These limits do not depend on κ provided it is much smaller than M 5 . The account of graviton widths is a crucial points of our calculations. * Electronic address: alexandre.kisselev@ihep.ru