Squeezed bispectrum and one-loop corrections in transient constant-roll inflation
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.
Keywords
Cite
@article{arxiv.2303.16035,
title = {Squeezed bispectrum and one-loop corrections in transient constant-roll inflation},
author = {Hayato Motohashi and Yuichiro Tada},
journal= {arXiv preprint arXiv:2303.16035},
year = {2023}
}
Comments
29 pages, 15 figures; v2 matches the published version in JCAP