  Cosmological perturbations of massive higher-spin fields are generated during
inflation, but they decay on scales larger than the Hubble radius as a
consequence of the Higuchi bound. By introducing suitable couplings to the
inflaton field, we show that one can obtain statistical correlators of massive
higher-spin fields which remain constant or decay very slowly outside the
Hubble radius. This opens up the possibility of new observational signatures
from inflation.
