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 A_g = const. at large F _NL limit, where A_g denotes the amplitude of the curvature perturbations. In the limit of large F _NL, we placed a 95% credible level upper limit F _NL A_g ≤ 0.115, 0.106, 0.112 at fixed scales of 10¹⁶, 10^16.5, 10¹⁷ Mpc^-1, respectively.

中文翻译：

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LIGO-Virgo-KAGRA 第三次观测对非高斯原初曲率扰动的约束


由大振幅原初密度波动引起的标量诱发引力波（SIGW）为直接探测暴胀时代提供了独特的观测测试。在这项工作中，我们使用 LIGO-Virgo-KAGRA 协作的前三个观测运行 (O1-O3) 数据，考虑原始密度波动中的非高斯性，对 SIGW 背景提供约束。我们发现，当非高斯参数为 F _NL > 3.55 时，非高斯性对 GW 能量密度谱产生不可忽略的影响，并开始影响 O1-O3 数据的分析。此外，约束表现出由 F _NL A _g = const 给出的渐近行为。在大 F _NL 极限处，其中 A _g 表示曲率扰动的幅度。在大 F _NL 的限制下，我们在固定尺度 10 下设置了 95% 的可信水平上限 F _NL A _g ≤ 0.115, 0.106, 0.112分别为 ¹⁶ 、 10 ^16.5 、 10 ¹⁷ Mpc ^-1 。