paper

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

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Published 29 August 2023 © 2023 IOP Publishing Ltd and Sissa Medialab
, , Citation Hayato Motohashi and Yuichiro Tada JCAP08(2023)069 DOI 10.1088/1475-7516/2023/08/069

1475-7516/2023/08/069

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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10.1088/1475-7516/2023/08/069