  We propose to slightly generalize the DeWitt-Schwinger adiabatic
renormalization subtractions in curved space to include an arbitrary
renormalization mass scale $\mu$. The new predicted running for the
gravitational couplings are fully consistent with decoupling of heavy massive
fields. This is a somewhat improvement with respect to the more standard
treatment of minimal (DeWitt-Schwinger) subtractions via dimensional
regularization. We also show how the vacuum metamorphosis model emerges from
the running couplings.
