Abstract

The scalar-induced gravitational wave (SIGWs), arising from large amplitude primordial density fluctuations, provide a unique observational test for directly probing the epoch of inflation. In this work, we provide constraints on the SIGW background by taking into account the non-Gaussianity in the primordial density fluctuations, using the first three observing runs (O1-O3) data of the LIGO-Virgo-KAGRA collaboration. We find that the non-Gaussianity gives a non-negligible effect on the GW energy density spectrum and starts to affect the analysis of the O1-O3 data when the non-Gaussianity parameter is F NL > 3.55. Furthermore, the constraints exhibit asymptotic behavior given by F NL Ag = const. at large F NL limit, where Ag denotes the amplitude of the curvature perturbations. In the limit of large F NL, we placed a 95% credible level upper limit F NL Ag ≤ 0.115, 0.106, 0.112 at fixed scales of 1016, 1016.5, 1017 Mpc-1, respectively.

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