New probe of non-Gaussianities with primordial black hole induced gravitational waves

Fuente: arXiv
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Autori principali: Papanikolaou, Theodoros, He, Xin-Chen, Ma, Xiao-Han, Cai, Yi-Fu, Saridakis, Emmanuel N., Sasaki, Misao
Natura: Preprint
Pubblicazione: 2024
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author Papanikolaou, Theodoros
He, Xin-Chen
Ma, Xiao-Han
Cai, Yi-Fu
Saridakis, Emmanuel N.
Sasaki, Misao
author_facet Papanikolaou, Theodoros
He, Xin-Chen
Ma, Xiao-Han
Cai, Yi-Fu
Saridakis, Emmanuel N.
Sasaki, Misao
contents We propose a new probe of primordial non-Gaussianities (NGs) through the observation of gravitational waves (GWs) induced by ultra-light ($M_{\text{PBH}}< 10^{9}\rm{g}$) primordial black holes (PBHs). Interestingly enough, the existence of primordial NG can leave imprints on the clustering properties of PBHs and the spectral shape of induced GW signals. Focusing on a scale-dependent local-type NG, we identify a distinct double-peaked GW energy spectrum that, contingent upon $M_{\text{PBH}}$ and the abundance of PBHs at the time of formation, denoted as $Ω_\mathrm{PBH,f}$, may fall into the frequency bands of upcoming GW observatories, including LISA, ET, SKA, and BBO. Thus, such a signal can serve as a novel portal for probing primordial NGs. Intriguingly, combining BBN bounds on the GW amplitude, we find for the first time the joint limit on the product of the effective non-linearity parameter for the primordial tri-spectrum, denoted by $\barτ_\mathrm{NL}$, and the primordial curvature perturbation power spectrum $\mathcal{P}_{\cal R}(k)$, which reads as $\barτ_\mathrm{NL} \mathcal{P}_{\cal R}(k) < 4\times 10^{-20} Ω^{-17/9}_\mathrm{PBH,f} \left( \frac{M_{\rm PBH}}{10^4\mathrm{g}} \right)^{-17/9}$.
format Preprint
id arxiv_https___arxiv_org_abs_2403_00660
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle New probe of non-Gaussianities with primordial black hole induced gravitational waves
Papanikolaou, Theodoros
He, Xin-Chen
Ma, Xiao-Han
Cai, Yi-Fu
Saridakis, Emmanuel N.
Sasaki, Misao
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
We propose a new probe of primordial non-Gaussianities (NGs) through the observation of gravitational waves (GWs) induced by ultra-light ($M_{\text{PBH}}< 10^{9}\rm{g}$) primordial black holes (PBHs). Interestingly enough, the existence of primordial NG can leave imprints on the clustering properties of PBHs and the spectral shape of induced GW signals. Focusing on a scale-dependent local-type NG, we identify a distinct double-peaked GW energy spectrum that, contingent upon $M_{\text{PBH}}$ and the abundance of PBHs at the time of formation, denoted as $Ω_\mathrm{PBH,f}$, may fall into the frequency bands of upcoming GW observatories, including LISA, ET, SKA, and BBO. Thus, such a signal can serve as a novel portal for probing primordial NGs. Intriguingly, combining BBN bounds on the GW amplitude, we find for the first time the joint limit on the product of the effective non-linearity parameter for the primordial tri-spectrum, denoted by $\barτ_\mathrm{NL}$, and the primordial curvature perturbation power spectrum $\mathcal{P}_{\cal R}(k)$, which reads as $\barτ_\mathrm{NL} \mathcal{P}_{\cal R}(k) < 4\times 10^{-20} Ω^{-17/9}_\mathrm{PBH,f} \left( \frac{M_{\rm PBH}}{10^4\mathrm{g}} \right)^{-17/9}$.
title New probe of non-Gaussianities with primordial black hole induced gravitational waves
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2403.00660