论文标题
从GWTC-3的小尺度上对原始曲率扰动的功率谱进行可靠的重建
Towards a reliable reconstruction of the power spectrum of primordial curvature perturbation on small scales from GWTC-3
论文作者
论文摘要
原始的黑洞（PBH）既可以是暗物质的候选者，也可以是Ligo-Virgo-Kagra合作检测到的二进制黑洞（BBH）的祖先。由于PBH可以通过原始密度扰动的重力崩溃在很早的宇宙中形成，因此引力波检测到的BBH群体编码了有关原始曲率扰动的大量信息。在这项工作中，我们采用一种可靠而系统的方法来重建从GWTC-3的原始曲率扰动的功率谱，在等级贝叶斯推理框架下，通过考虑测量的不确定性和选择效果。除了仅考虑单个PBH种群模型外，我们还报告了考虑多人种模型的结果，即混合PBH和天体物理黑洞二进制模型。我们发现，原始曲率扰动的重建功率谱的最大振幅可以是$ \ sim2.5 \ times10^{ - 2} $ at $ \ nathcal {o}（10^{5} {5}）
Primordial black holes (PBHs) can be both candidates of dark matter and progenitors of binary black holes (BBHs) detected by the LIGO-Virgo-KAGRA collaboration. Since PBHs could form in the very early Universe through the gravitational collapse of primordial density perturbations, the population of BBHs detected by gravitational waves encodes much information on primordial curvature perturbation. In this work, we take a reliable and systematic approach to reconstruct the power spectrum of the primordial curvature perturbation from GWTC-3, under the hierarchical Bayesian inference framework, by accounting for the measurement uncertainties and selection effects. In addition to just considering the single PBH population model, we also report the results considering the multi-population model, i.e., the mixed PBH and astrophysical black hole binaries model. We find that the maximum amplitude of the reconstructed power spectrum of primordial curvature perturbation can be $\sim2.5\times10^{-2}$ at $\mathcal{O}(10^{5})~\rm Mpc^{-1}$ scales, which is consistent with the PBH formation scenario from inflation at small scales.
