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We perform a systematic analysis of the one-loop effective potential of pure$d=5$ supergravities, with supersymmetry fully broken by a Scherk-Schwarzcompactification on the circle, as a function of the radial modulus. We discussthe precise correspondence between the effective potential $V_1$ in the fullcompactified theory and its counterpart $V_{1,red}$ in the reduced theory. Weconfirm that $V_1$ is finite for any $N>0$, in contrast to $V_{1,red}$. We findthat for broken $N=8$ supergravity $V_1$ is negative definite even afteraccounting for the Kaluza-Klein states. We outline a program for future workwhere the study of a different kind of Scherk-Schwarz compactifications, stillat the field theory level but with at least three extra dimensions, could leadto qualitatively new results.

One-loop effective potential in Scherk-Schwarz compactifications of pure d=5 supergravities