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In this paper, we propose a conformally covariant momentum spacerepresentation of CFT correlation functions. We call it the AdS S-matrix. Thisrepresentation has the property that it reduces to the S-matrix in the flatspace limit. The flat space limit in question is taken by keeping all theparticle masses fixed as the operator conformal dimensions go to infinity alongwith the AdS radius $\mathtt{R}$. We give Feynman-like rules to compute the AdSS-matrix in $1/ \mathtt{R}$ perturbation theory. Moreover, we relate it to theMellin space representation of the conformal correlators in $1/ \mathtt{R}$perturbation theory.

A Scattering Amplitude for Massive Particles in AdS