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arXiv · 2303.16035

Squeezed bispectrum and one-loop corrections in transient constant-roll inflation

Hayato Motohashi·Yuichiro Tada
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Abstract

In canonical single-field inflation, the production of primordial black holes (PBH) requires a transient violation of the slow-roll condition. The transient ultra slow-roll inflation is an example of such scenarios, and more generally, one can consider the transient constant-roll inflation. We investigate the squeezed bispectrum in the transient constant-roll inflation and find that Maldacena's consistency relation holds for a sufficiently long-wavelength mode, whereas it is violated for modes around the peak scale for the non-attractor case. We also demonstrate how the one-loop corrections are modified compared to the case of the transient ultra slow-roll inflation, focusing on representative one-loop terms originating from a time derivative of the second slow-roll parameter in the cubic action. We find that the perturbativity requirement on those terms does not rule out the production of PBH from the transient constant-roll inflation. Therefore, it is a simple counterexample of the recently claimed no-go theorem of PBH production from single-field inflation.

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Hayato Motohashi, Yuichiro Tada. 2023-03-28. Squeezed bispectrum and one-loop corrections in transient constant-roll inflation. https://doi.org/10.1088/1475-7516%2F2023%2F08%2F069

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