  We study the single graviton production at the CERN LHC using the
$k_T$-factorization approach of QCD. We consider the
Arkani-Hamed-Dimopoulos-Dvali scenario and Randall-Sundrum model with one
warped extra-dimension and derive the production amplitudes for spin-$2$
(Kaluza-Klein excitation of the graviton) and spin-$0$ (radion) states,
including subsequent graviton decay into the dilepton or diphoton pairs. We use
the transverse momentum dependent (unintegrated) parton densities in a proton
obtained from Ciafaloni-Catani-Fiorani-Marchesini (CCFM) evolution equation,
which resums the leading logarithmic small-$x$ corrections to the production
cross sections. We demonstrate that the small-$x$ effects can manifest
themselves in the different angular distributions of graviton decay products
and give some examples of how these distributions can look like at the LHC
energies.
