A shallow local minimum added to a hilltop inflation potential can make the typical number of e-folds as large as 10^(10^10), enough for light scalars to reach Bunch-Davies equilibrium.
A Large Mass Hierarchy from a Small Non-minimal Coupling
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abstract
We propose a simple but novel cosmological scenario where both the Planck mass and the dark energy scale emerge from the same super-Hubble quantum fluctuations of a non-minimally coupled ultra-light scalar field during primordial inflation. The current cosmic and solar-system observations constrain the non-minimal coupling to be small.
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Stochastic inflation with an extremely large number of $e$-folds
A shallow local minimum added to a hilltop inflation potential can make the typical number of e-folds as large as 10^(10^10), enough for light scalars to reach Bunch-Davies equilibrium.