标题： 利用早期暗能量解决哈勃张力问题 显示英文标题

标题： Resolving the Hubble tension with Early Dark Energy

摘要： 早期暗能量（EDE）为所谓的哈勃张力问题提供了一个解决方案。最近的研究表明，使用马尔可夫链蒙特卡洛方法对EDE的约束受到先验体积效应的影响。本文的目标是提出不受先验体积效应影响的EDE比例 $f_\mathrm{EDE}$ 和哈勃参数 $H_0$ 的限制。我们进行了基于频繁主义的轮廓似然性分析，考虑了Planck宇宙微波背景数据、BOSS完整形状星系聚类数据、DES弱透镜数据和SH0ES超新星数据。与之前的研究结果相反，我们发现对于EDE模型， $H_0$ 在所有数据集的 $\leq 1.7\,\sigma$ 处与SH0ES的直接测量结果在统计上是一致的。对于我们的基准数据集（Planck+BOSS），我们在 $68\%$ 置信水平下得到 $f_\mathrm{EDE} = 0.087\pm 0.037$ 和 $H_0 = 70.57 \pm 1.36\, \mathrm{km/s/Mpc}$。我们得出结论，EDE是解决哈勃张力的一个可行方案。 显示英文摘要

摘要： Early dark energy (EDE) offers a solution to the so-called Hubble tension. Recently, it was shown that the constraints on EDE using Markov Chain Monte Carlo are affected by prior volume effects. The goal of this paper is to present constraints on the fraction of EDE, $f_\mathrm{EDE}$, and the Hubble parameter, $H_0$, which are not subject to prior volume effects. We conduct a frequentist profile likelihood analysis considering Planck cosmic microwave background, BOSS full-shape galaxy clustering, DES weak lensing, and SH0ES supernova data. Contrary to previous findings, we find that $H_0$ for the EDE model is in statistical agreement with the SH0ES direct measurement at $\leq 1.7\,\sigma$ for all data sets. For our baseline data set (Planck + BOSS), we obtain $f_\mathrm{EDE} = 0.087\pm 0.037$ and $H_0 = 70.57 \pm 1.36\, \mathrm{km/s/Mpc}$ at $68\%$ confidence limit. We conclude that EDE is a viable solution to the Hubble tension.