arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 2002.07829astro-ph.CO
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反对在观测宇宙学中使用$h^{-1}{\rm Mpc}$单位的争论

Arguments against using $h^{-1}{\rm Mpc}$ units in observational cosmology

Ariel G. Sanchez

摘要:

通常以$h^{-1}{\rm Mpc}$为单位表示宇宙学测量。在这里,我们回顾了一些源于这种做法的并发症。由这些单位引起的一个关键问题与物质功率谱的归一化有关,该功率谱通常以半径为$8\,h^{-1}{\rm Mpc}$,$σ_8$的球体中的线性理论均方根质量波动为特征。此参数不能正确捕获$h$对密度波动幅度的影响。我们发现,使用$σ_8$造成了严重的误解,即所谓的$σ_8$紧张关系之间的一致性低红移探测和宇宙微波背景数据,以及在其中的增长率估计推断红移空间扭曲的方式通常表示。我们建议放弃在宇宙学中使用$h^{-1}{\rm Mpc}$单位,并以$σ_{12}$来表征物质功率谱的振幅,$σ_{12}$定义为半径为$12\,{\rm Mpc}$的球体中的质量波动,其值类似于$h\sim 0.67$的标准$σ_8$。

英文摘要:

It is common to express cosmological measurements in units of $h^{-1}{\rm Mpc}$. Here, we review some of the complications that originate from this practice. A crucial problem caused by these units is related to the normalization of the matter power spectrum, which is commonly characterized in terms of the linear-theory rms mass fluctuation in spheres of radius $8\,h^{-1}{\rm Mpc}$, $σ_8$. This parameter does not correctly capture the impact of $h$ on the amplitude of density fluctuations. We show that the use of $σ_8$ has caused critical misconceptions for both the so-called $σ_8$ tension regarding the consistency between low-redshift probes and cosmic microwave background data, and the way in which growth-rate estimates inferred from redshift-space distortions are commonly expressed. We propose to abandon the use of $h^{-1}{\rm Mpc}$ units in cosmology and to characterize the amplitude of the matter power spectrum in terms of $σ_{12}$, defined as the mass fluctuation in spheres of radius $12\,{\rm Mpc}$, whose value is similar to the standard $σ_8$ for $h\sim 0.67$.

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