Kavli Affiliate: Misao Sasaki
| First 5 Authors: Theodoros Papanikolaou, Xin-Chen He, Xiao-Han Ma, Yi-Fu Cai, Emmanuel N. Saridakis
| Summary:
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 $Omega_mathrm{PBH,f}$, 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 $bar{tau}_mathrm{NL}$, and the
primordial curvature perturbation power spectrum $mathcal{P}_{cal R}(k)$,
which reads as $bar{tau}_mathrm{NL} mathcal{P}_{cal R}(k) < 4times
10^{-20} Omega^{-17/9}_mathrm{PBH,f} left( frac{M_{rm
PBH}}{10^4mathrm{g}} right)^{-17/9}$.
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