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We find the propagator and calculate the tree level scattering amplitudebetween two covariantly conserved sources in an Anti-de Sitter background forthe most general D-dimensional quadratic, four-derivative, gravity with aPauli-Fierz mass. We also calculate the Newtonian potential for various limitsof the theory in flat space. We show how the recently introduced threedimensional New Massive Gravity is uniquely singled out among higher derivativemodels as a (tree level) unitary model and that its Newtonian limit isequivalent to that of the usual massive gravity in flat space.

Massive Higher Derivative Gravity in D-dimensional Anti-de Sitter Spacetimes