New probe of non-Gaussianities with primordial black hole induced gravitational waves
arxiv(2024)
摘要
We propose a new probe of primordial non-Gaussianities (NGs) through the
observation of gravitational waves (GWs) induced by ultra-light
(M_PBH< 10^9g) 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_PBH and the abundance of PBHs at
the time of formation, denoted as Ω_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 τ̅_NL, and the
primordial curvature perturbation power spectrum 𝒫_ R(k),
which reads as τ̅_NL𝒫_ R(k) < 4×
10^-20Ω^-17/9_PBH,f( M_
PBH/10^4g)^-17/9.
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