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In this paper we consider Witten diagrams at one loop in AdS space for scalar$\phi^3+\phi^4$ theory. After using Schwinger parametrization to trivialize thespace-time loop integration, we extract the Mellin-Barnes representation forthe one-loop corrections to the four-particle scattering up to an integrationover the Schwinger parameters corresponding to the propagators of the internalparticles running into the loop. We then discuss an approach to deal with thoseintegrals.

Mellin-(Schwinger) representation of One-loop Witten diagrams in AdS