Evading no-go for PBH formation and production of SIGWs using Multiple Sharp Transitions in EFT of single field inflation

TL;DR

This paper demonstrates how multiple sharp transitions in single field inflation within EFT can produce a wide range of primordial black holes and scalar-induced gravitational waves, aligning with current observational data and evading previous theoretical constraints.

Contribution

It introduces a novel framework using multiple sharp transitions in EFT of inflation to generate diverse PBH masses and SIGWs, overcoming the no-go theorem.

Findings

PBH masses range from 10^{-31} to 10^{4} solar masses

Results are consistent with NANOGrav 15-year data

Aligns with sensitivities of LISA, BBO, and other experiments

Abstract

Deploying \textit{multiple sharp transitions} (MSTs) under a unified framework, we investigate the formation of Primordial Black Holes (PBHs) and the production of Scalar Induced Gravitational Waves (SIGWs) by incorporating one-loop corrected renormalized-resummed scalar power spectrum. With effective sound speed parameter, $1 \leq c_s \leq 1.17$, the direct consequence is the generation of PBH masses spanning $M_{\rm PBH}\sim{\cal O}(10^{-31}M_{\odot}- 10^{4}M_{\odot})$, thus evading well known \textit{No-go theorem} on PBH mass. Our results align coherently with the extensive NANOGrav 15-year data and the sensitivities outlined by other terrestrial and space-based experiments (e.g.: LISA, HLVK, BBO, HLV(O3), etc.).