CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

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I will make some preliminary investigations to perturbative dynamics in AdS, more precisely the Mellin amplitudes associated to particle scattering, at loop level. With a focus on scalar effective theories, this analysis is fulfilled by introducing an integral operation acting in the Mellin space that triggers a recursive construction from diagrams at lower loops to those at higher. This gives rise to a convenient representation for arbitrary scalar diagrams, based on which analytic properties of the amplitudes can be studied systematically. I will provide several simple applications at one and two loops, and further comment on some universal features on the structure of Mellin amplitudes thus observed.

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