Testing the nature of Kaluza-Klein excitations at future lepton colliders

With one extra dimension, current high precision electroweak data constrain the masses of the first Kaluza-Klein (KK) excitations of the standard model gauge fields to lie above $\simeq 4$ TeV. States with masses not much larger than this should be observable at the CERN LHC. However, even for first excitation masses close to this lower bound, the second set of excitations will be too heavy to be produced, thus eliminating the possibility of realizing the cleanest signature for KK scenarios. Previous studies of heavy $Z^{\prime }$ and $W^{\prime }$ production in this mass range at the CERN LHC have demonstrated that very little information can be obtained about their couplings to the conventional fermions given the limited available statistics and imply that the CERN LHC cannot distinguish an ordinary $Z^{\prime }$ from the degenerate pair of the first KK excitations of the $\gamma$ and Z. In this paper we discuss the capability of lepton colliders with center of mass energies significantly below the excitation mass to resolve this ambiguity. In addition, we examine how direct measurements obtained on and near the top of the first excitation peak at lepton colliders can confirm these results. For more than one extra dimension we demonstrate that it is likely that the first KK excitation is too massive to be produced at the CERN LHC.