在普朗克热SZ分析中，我们能忽略相对论温度修正吗？
Can we neglect relativistic temperature corrections in the Planck thermal SZ analysis?
摘要：
热Sunyaev-Zel'dovich（tSZ）效应的测量一直被认为是一个强大的宇宙学探测。在这里，我们评估的相对论温度修正的重要性，以tSZ信号的普朗克康普顿- $y$地图的功率谱分析，开发一种新的形式主义，以考虑相关的影响。的tSZ功率谱的振幅被发现是敏感的有效电子温度，$\bar{T}_e$，集群样品。省略相应的修改导致低估了$yy$功率谱幅度。因此，相对论修正增加了tSZ功率谱观测值（如$σ_8$）的误差预算。这可能有助于缓解各种宇宙学探测器之间的紧张关系，校正标度为普朗克的$Δσ_8/σ_8 \simeq 0.019\,[k\bar{T}_e\,/\,5\,{\rm keV}]$。在目前的精度水平上，这意味着$\simeq 1σ$的系统性偏移，这也可以解释为$Δb \simeq 0.046\,(1-b)\,[k\bar{T}_e\,/\,5\,{\rm keV}]$对流体静力学质量偏差的高估，使其与流体动力学模拟更好地吻合。因此，在处理当前和未来的tSZ数据时，是考虑相对论温度修正的时候了。
英文摘要：
Measurements of the thermal Sunyaev-Zel'dovich (tSZ) effect have long been recognized as a powerful cosmological probe. Here we assess the importance of relativistic temperature corrections to the tSZ signal on the power spectrum analysis of the Planck Compton-$y$ map, developing a novel formalism to account for the associated effects. The amplitude of the tSZ power spectrum is found to be sensitive to the effective electron temperature, $\bar{T}_e$, of the cluster sample. Omitting the corresponding modifications leads to an underestimation of the $yy$-power spectrum amplitude. Relativistic corrections thus add to the error budget of tSZ power spectrum observables such as $σ_8$. This could help alleviate the tension between various cosmological probes, with the correction scaling as $Δσ_8/σ_8 \simeq 0.019\,[k\bar{T}_e\,/\,5\,{\rm keV}]$ for Planck. At the current level of precision, this implies a systematic shift by $\simeq 1σ$, which can also be interpreted as an overestimation of the hydrostatic mass bias by $Δb \simeq 0.046\,(1-b)\,[k\bar{T}_e\,/\,5\,{\rm keV}]$, bringing it into better agreement with hydrodynamical simulations. It is thus time to consider relativistic temperature corrections in the processing of current and future tSZ data.
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