论文标题
基于平等量表和基于声音范围的哈勃张力分析
Equality scale-based and sound horizon-based analysis of the Hubble tension
论文作者
论文摘要
物质辐射平等的哈勃式（$ k^{ - 1} _ {\ rm {eq}} $）和最后一个散射表面的声级（$ r_s（z _*）$）为$λ$ CDM型号及其扩展提供了有趣的一致性检查。众所周知，减少$ r_s $可以通过增加$ h_0 $来补偿，而标准尺子$ k _ {\ rm {eq}} $也是如此。在早期宇宙中添加额外的辐射组件可以减少$ k _ {\ rm {eq}} $。但是，早期的黑能（EDE）的添加往往会增加$ k _ {\ rm {eq}} $。我们在EDE模型和Wess-Zumino Dark Radiation（WZDR）模型中执行$ k _ {\ rm {eq}} $ - 基于$ r_s $的分析。在后一种情况下，我们在$ r_s $ - 和$ k _ {\ rm {eq}} $的数据集中找到$ΔH_0= 0.4 $ - 基于数据集，而在前一种情况下，我们发现$ΔH_0= 1.2 $。该结果表明，黑暗辐射方案在两个标准尺子的拟合度（$ k _ {\ rm {eq}} $和$ r_s $）中更加一致。作为一个预测分析，我们将两个模型与模拟$ k _ {\ rm {eq}} $ prior从\ emph {planck} best-fit $λ$ cdm模型派生。与最佳拟合$ H_0 $基线$λ$ CDM型号相比，我们发现WZDR型号的$ΔH_0= 1.1 $，EDE型号的$ΔH_0= -2.4 $。
The Hubble horizon at matter-radiation equality ($k^{-1}_{\rm{eq}}$) and the sound horizon at the last scattering surface ($r_s(z_*)$) provides interesting consistency check for the $Λ$CDM model and its extensions. It is well known that the reduction of $r_s$ can be compensated by the increase of $H_0$, while the same is true for the standard rulers $k_{\rm{eq}}$. Adding extra radiational component to the early universe can reduce $k_{\rm{eq}}$. The addition of early dark energy (EDE), however, tends to increase $k_{\rm{eq}}$. We perform $k_{\rm{eq}}$- and $r_s$-based analyses in both the EDE model and the Wess-Zumino Dark Radiation (WZDR) model. In the latter case we find $ΔH_0 = 0.4$ between the $r_s$- and $k_{\rm{eq}}$-based datasets, while in the former case we find $ΔH_0 = 1.2$. This result suggests that the dark radiation scenario is more consistent in the fit of the two standard rulers ($k_{\rm{eq}}$ and $r_s$). As a forecast analyses, we fit the two models with a mock $k_{\rm{eq}}$ prior derived from \emph{Planck} best-fit $Λ$CDM model. Compared with the best-fit $H_0$ in baseline $Λ$CDM model, we find $ΔH_0 = 1.1$ for WZDR model and $ΔH_0 = - 2.4$ for EDE model.
