从高红移黑洞双星的引力波重建原初功率谱
Reconstruction of Primordial Power Spectrum from Gravitational Waves of High-Redshift Black Hole Binaries
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中文总结 AI 辅助
研究利用高红移双黑洞事件，通过梯度下降方法从观测红移质量分布重建原初黑洞质量函数及小尺度原初功率谱，分析LIGO-Virgo-KAGRA目录中的事件，发现重建PPS有正则化稳定增强，证明该方法可行。
中文摘要 AI 辅助
高红移双黑洞（BBH）事件有望成为下一代引力波（GW）探测器可探测到的原初黑洞（PBH）候选者。可以从GW观测中获得检测到的PBH候选者的红移质量分布，由此可以重建潜在的PBH质量函数。在这项工作中，我们开发了一个框架，将梯度下降方法应用于观测到的红移质量分布，重建PBH质量函数，进而重建小尺度上的原初功率谱（PPS）。作为一个说明性应用，我们在指定的PBH选择标准下分析了LIGO-Virgo-KAGRA（LVK）目录中的BBH事件。我们发现在重建的PPS中，有一个正则化稳定的候选 bump 状增强，量级为\(\mathcal{O}(10^{-2})\)，在所采用的假设下，以\(k_{\mathrm{peak}}\simeq 5.7\times 10^5~\mathrm{Mpc}^{-1}\)为中心。我们的结果证明了用下一代GW探测器从高红移BBH观测中重建小尺度PPS的可行性。
英文摘要
High-redshift binary black hole (BBH) events are promising candidates for primordial black holes (PBHs) detectable by next-generation gravitational wave (GW) detectors. A redshifted mass distribution of detected PBH candidates can be obtained from GW observations, from which the underlying PBH mass function can be reconstructed. In this work, we develop a framework that applies the gradient-descent method to the observed redshifted mass distribution and reconstructs the PBH mass function and, subsequently, the primordial power spectrum (PPS) on small scales. As an illustrative application, we analyze BBH events in the LIGO--Virgo--KAGRA (LVK) catalogs under a specified PBH selection criterion. We find a regularization-stable candidate bump-like enhancement of order $\mathcal{O}(10^{-2})$ in the reconstructed PPS, centered around $k_{\mathrm{peak}}\simeq 5.7\times 10^5~\mathrm{Mpc}^{-1}$ under the adopted assumptions. Our results demonstrate the feasibility of reconstructing the small-scale PPS from high-redshift BBH observations with next-generation GW detectors.
