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In this dissertation we discuss the properties of matrix elements describingthe scattering of massive spin-2 particles in theories of compactified gravity.Our primary result is the calculation of 2-to-2 massive spin-2 Kaluza-Klein(KK) mode scattering matrix elements in the Randall-Sundrum 1 (RS1) model andthe demonstration that those matrix elements grow no faster than$\mathcal{O}(s)$ irrespective of the KK mode numbers and helicities considered.Because this calculation requires summing infinitely-many spin-2 mediateddiagrams which each diverge like $\mathcal{O}(s^{5})$, overall $\mathcal{O}(s)$growth is only attained through cancellations between these diagrams. This inturn requires intricate cancellations between infinitely-many KK mode massesand couplings. We derive these sum rules, including their generalization tofully inelastic processes. We also consider these matrix elements in thefive-dimensional orbifolded torus (5DOT) and large $kr_{c}$ limits, investigatethe impact of including only finitely-many diagrams in the calculation (asmeasured via truncation error), and calculate the five-dimensional strongcoupling scale $\Lambda_{\pi} \equiv M_{\text{Pl}}\, e^{-kr_{c}\pi}$ via thefour-dimensional scattering calculation.

Scattering Amplitudes in Theories of Compactified Gravity