The non-perturbative technique for scalar power spectra with large fluctuations matches the perturbative Inflationary Fossils results to first order in six cases and may extend to all orders.
Rubin,Effect of massive fields on inflation, Journal of Experimental and Theoretical Physics Letters 74 (2001) 247–250
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Inflationary Fossils Beyond Perturbation Theory
The non-perturbative technique for scalar power spectra with large fluctuations matches the perturbative Inflationary Fossils results to first order in six cases and may extend to all orders.