  We study some consequences of coupling supersymmetric theories to
(super)gravity. To linear order, the couplings are determined by the
energy-momentum supermultiplet. At higher orders, the couplings are determined
by contact terms in correlation functions of the energy-momentum
supermultiplet. We focus on the couplings of one particular field in the
supergravity multiplet, the auxiliary field $M$. We discuss its linear and
quadratic (seagull) couplings in various supersymmetric theories. In analogy to
the local renormalization group formalism, we provide a prescription for how to
fix the quadratic couplings. They generally arise at two-loops in perturbation
theory. We check our prescription by explicitly computing these couplings in
several examples such as mass-deformed ${\cal N}$ = 4 and in the Coulomb phase
of some theories. These couplings affect the Lagrangians of rigid
supersymmetric theories in curved space. In addition, our analysis leads to a
transparent derivation of the phenomenon known as Anomaly Mediation. In
contrast to previous approaches, we obtain both the gaugino and scalar masses
of Anomaly Mediation by relying just on classical, minimal supergravity and a
manifestly local and supersymmetric Wilsonian point of view. Our discussion
naturally incorporates the connection between Anomaly Mediation and
supersymmetric $AdS_4$ Lagrangians. This note can be read without prior
familiarity with Anomaly Mediated Supersymmetry Breaking (AMSB).
