A Statistical Standard Siren Measurement of the Hubble Constant from the LIGO/Virgo Gravitational Wave Compact Object Merger GW190814 and Dark Energy Survey Galaxies

We present a measurement of the Hubble constant H0 using the gravitational wave (GW) event GW190814, which resulted from the coalescence of a 23 M⊙ black hole with a 2.6 M⊙ compact object, as a standard siren. No compelling electromagnetic counterpart has been identified for this event; thus our analysis accounts for thousands of potential host galaxies within a statistical framework. The redshift information is obtained from the photometric redshift (photo-z) catalog from the Dark Energy Survey. The luminosity distance is provided by the LIGO/Virgo gravitational wave sky map. Since this GW event has the second-smallest localization volume after GW170817, GW190814 is likely to provide the best constraint on cosmology from a single standard siren without identifying an electromagnetic counterpart. Our analysis uses photo-z probability distribution functions and corrects for photo-z biases. We also reanalyze the binary black hole GW170814 within this updated framework. We explore how our findings impact the H0 constraints from GW170817, the only GW merger associated with a unique host galaxy. From a combination of GW190814, GW170814, and GW170817, our analysis yields (68% highest-density interval, HDI) for a prior in H0 uniform between . The addition of GW190814 and GW170814 to GW170817 improves the 68% HDI from GW170817 alone by ∼18%, showing how well-localized mergers without counterparts can provide a significant contribution to standard siren measurements, provided that a complete galaxy catalog is available at the location of the event.

我们利用引力波事件GW190814对哈勃常数\(H_0\)进行了测量，该事件是一个\(23M_{\odot}\)的黑洞与一个\(2.6M_{\odot}\)的致密天体并合产生的，我们将其作为一个标准汽笛。对于该事件，尚未确定令人信服的电磁对应体；因此，我们的分析在一个统计框架内考虑了数千个潜在的宿主星系。红移信息来自暗能量巡天的光度红移（photo - z）星表。光度距离由LIGO/处女座引力波天图提供。由于这个引力波事件的定位体积是继GW170817之后第二小的，GW190814很可能在不识别电磁对应体的情况下，从单个标准汽笛对宇宙学提供最好的限制。我们的分析使用了光度红移概率分布函数，并校正了光度红移偏差。我们还在这个更新的框架内重新分析了双黑洞GW170814。我们探讨了我们的发现如何影响来自GW170817的\(H_0\)限制，GW170817是唯一与一个独特宿主星系相关联的引力波并合事件。通过结合GW190814、GW170814和GW170817，我们的分析得出（68%最高密度区间，HDI），\(H_0\)的先验在[某个区间]内是均匀的。将GW190814和GW170814添加到GW170817中，使仅来自GW170817的68%HDI提高了约18%，这表明如果在事件发生位置有完整的星系星表，定位良好且无对应体的并合事件可以对标准汽笛测量做出重大贡献。