论文标题
部分可观测时空混沌系统的无模型预测
Role of the Hubble Scale in the Weak Lensing vs. CMB Tension
论文作者
论文摘要
我们探讨了弱透镜(WL)和宇宙微波背景(CMB)数据之间的透镜幅度张力的重新参数化及其对Hubble张力的关节分辨率的影响。具体而言,我们专注于使用派生的参数$ s_ {12} $在绝对距离单元中的12 MPC上的镜头幅度上,并与Planck 2018相比,在最近的调查中显示了其限制。仅在WL中,我们就发现绝对距离惯例与$ s_ {12} $与$ h_0 $相关。在3D空间中考虑此相关性$ S_ {12} \ timesyΩ_m\ times h $ reproduce $ 2 \ sim3σ$张力从$ s_8 \ timesmom $ $ $ $。此外,我们在$ s_8 \ times h $和$ s_ {12} \ times h $平面中得出比例关系,这些h $ cdm允许的允许,并推断了解决$ h_0 $和镜头 - 镜头 - 振动张力紧张局部所需的目标尺度,共有假设的超过λ$ CDM模型。作为测试示例,我们量化了早期的暗能量情景与这些目标量表的比较。提供了$ S_8 $的有用拟合公式和$ s_ {12} $作为$λ$ CDM中其他宇宙参数的函数,具有1%的精度。
We explore a re-parameterization of the lensing amplitude tension between weak lensing (WL) and cosmic microwave background (CMB) data and its implications for a joint resolution with the Hubble tension. Specifically, we focus on the lensing amplitude over a scale of 12 Mpc in absolute distance units using a derived parameter $S_{12}$ and show its constraints from recent surveys in comparison with Planck 2018. In WL alone, we find that the absolute distance convention correlates $S_{12}$ with $H_0$. Accounting for this correlation in the 3D space $S_{12}\times ω_m \times h$ reproduces the usual levels of $2\sim 3σ$ tension inferred from $S_8\timesΩ_m$. Additionally, we derive scaling relations in the $S_8\times h$ and $S_{12}\times h$ planes that are allowed by $Λ$CDM and extrapolate target scalings needed to solve the $H_0$ and lensing-amplitude tensions jointly in a hypothetical beyond-$Λ$CDM model. As a test example, we quantify how the early dark energy scenario compares with these target scalings. Useful fitting formulae for $S_8$ and $S_{12}$ as a function of other cosmological parameters in $Λ$CDM are provided, with 1% precision.