Spinning loop amplitudes in anti–de Sitter space

In this work we present a systematic study of ${\mathrm{AdS}}_{d+1}$ loop amplitudes for gluons and gravitons using momentum space techniques. Inspired by the recent progress in tree-level computation, construct differential operator that can act on scalar factor order to generate gluon graviton integrands: systematizes computation any given level Witten diagram. We then give general prescription formalism, discuss it bubble, triangle, box diagrams.