标题： 使用灰暗鸣叫来解决哈勃-勒梅特定律矛盾 显示英文标题

标题： Using Gray Sirens to Resolve the Hubble-Lemaître Tension

摘要： 从宇宙微波背景和Ia型超新星测量的哈勃-勒梅特定律常数$(H_0)$之间存在矛盾。 解决这种矛盾的一种方法是使用一种独立的方式来测量$H_0$。 这可以通过使用引力波（GW）观测来实现。 以前的研究表明，随着下一代引力波探测器网络的启动，将能够比$2\%$更好地约束$H_0$（这足以解决矛盾），利用双黑洞系统，也称为暗鸣声。 如果同时检测到引力波和随后的电磁对应物，像双中子星系统这样的明亮鸣声也可以帮助解决矛盾。 在这项工作中，我们评估了使用中子星-黑洞（NSBH）合并来测量哈勃-勒梅特定律常数的潜力，既作为暗鸣声又作为明亮鸣声，因此将它们称为灰鸣声。 我们发现，Voyager网络可能在5年的观测期内利用NSBH合并解决矛盾，而包括宇宙探索者探测器和爱因斯坦望远镜的下一代网络将能够将$H_0$测量到百分之一以下的水平。 显示英文摘要

摘要： The measurement of the Hubble-Lema\^{i}tre constant $(H_0)$ from the cosmic microwave background and the Type IA supernovae are at odds with each other. One way to resolve this tension is to use an independent way to measure $H_0$. This can be accomplished by using gravitational-wave (GW) observations. Previous works have shown that with the onset of the next-generation of GW detector networks, it will be possible to constrain $H_0$ better than $2\%$ (which is enough to resolve the tension) with binary black hole systems, also called dark sirens. Bright sirens like binary neutron star systems can also help resolve the tension if both the GW and the following electromagnetic counterpart are detected. In this work, we assess the potential of using neutron star-black hole (NSBH) mergers to measure the Hubble-Lema\^{i}tre constant, both as dark sirens as well as bright sirens, thus, assigning them the term gray sirens. We find that the Voyager network might be able to resolve the tension using NSBH mergers in an observation span of 5 years, whereas next-generation networks which include the Cosmic Explorer detectors and the Einstein Telescope will be able to measure the $H_0$ to sub-percent level.