论文标题
GWTC-3的原始黑人洞人口和宇宙扩张历史的限制
Constraints on Primordial-black-hole Population and Cosmic Expansion History from GWTC-3
论文作者
论文摘要
紧凑型二元合并的重力波（GWS）提供了对电磁波以外的宇宙扩张史的独立探针。 In this work, we assume the binary black holes (BBHs) detected by LIGO-Virgo-KAGRA (LVK) collaborations are of primordial origin and constrain the population parameters of primordial black holes (PBHs) and Hubble parameter $H(z)$ using $42$ BBHs from third LVK GW transient catalog (GWTC-3).考虑了三个PBH质量模型：对数正态，幂律和临界崩溃PBH质量功能。通过进行层次的贝叶斯人群分析，贝叶斯因子在GWTC-3中强烈不符合幂律PBH质量功能。标准$λ{\ rm cdm} $宇宙参数的约束相当薄弱，并且与当前结果一致。当结合GW170817中的多通信标准警报器测量时，Hubble常数$ H_0 $被限制为$ 69^{+19} _ { - 8} \，\ Mathrm {km} $ 70^{+26} _ { - 8} \，\ Mathrm {km} \，\ Mathrm {s}^{ - 1}^{ - 1} \，\ Mathrm {mpc}^{ - 1} $ at $ 68 \％$ $ 68 \％$ $ 68 \％$ custrusiting lognormal和Pritical Collape Models，相应地相应地。此外，我们考虑了一个混合的ABH+PBH模型，其中我们假设LVK BBH可以来自天体物理黑洞（ABH）和PBH通道。我们发现，与任何单个ABH或PBH模型相比，ABH+PBH模型可以更好地描述GWTC-3中的质量分布，从而提高了限制哈勃常数的精度。随着BBH事件的增加，混合的ABH+PBH模型为人口和宇宙学参数提供了强大的统计推断。
Gravitational waves (GWs) from compact binary coalescences provide an independent probe of the cosmic expansion history other than electromagnetic waves. In this work, we assume the binary black holes (BBHs) detected by LIGO-Virgo-KAGRA (LVK) collaborations are of primordial origin and constrain the population parameters of primordial black holes (PBHs) and Hubble parameter $H(z)$ using $42$ BBHs from third LVK GW transient catalog (GWTC-3). Three PBH mass models are considered: lognormal, power-law, and critical collapse PBH mass functions. By performing a hierarchical Bayesian population analysis, the Bayes factor strongly disfavors the power-law PBH mass function against the other two in GWTC-3. The constraints on standard $Λ{\rm CDM}$ cosmological parameters are rather weak and in agreement with current results. When combining the multi-messenger standard siren measurement from GW170817, the Hubble constant $H_0$ is constrained to be $69^{+19}_{-8}\, \mathrm{km}\, \mathrm{s}^{-1}\, \mathrm{Mpc}^{-1}$ and $70^{+26}_{-8}\, \mathrm{km}\, \mathrm{s}^{-1}\, \mathrm{Mpc}^{-1}$ at $68\%$ confidence for the lognormal and critical collapse mass models, respectively. Furthermore, we consider a mixed ABH+PBH model, in which we assume LVK BBHs can come from both the astrophysical black hole (ABH) and PBH channels. We find that the ABH+PBH model can better describe the mass distribution in GWTC-3 than any single ABH or PBH model, thus improving the precision to constrain the Hubble constant. With the increased BBH events, the mixed ABH+PBH model provides a robust statistical inference for both the population and cosmological parameters.
