The Sunyaev–Zeldovich (SZ) effect provides a powerful cosmological probe, which traditionally is approached independently as cluster number count (CNC) or power spectrum (PS) analysis. Here, we devise a new method for analysing the y-map by introducing the survey completeness function, conventionally only used in the CNC analysis, in the yy-PS modelling. This provides a systematic method, based mainly on SZ observables, for obtaining two complementary y-maps, one incorporating detected/resolved clusters and the other relying only on diffuse/unresolved SZ contributions. We use the catalogue of clusters obtained in the Planck CNC analysis to define the completeness function linking these two y-maps. The split depends on the chosen signal-to-noise detection threshold, which we vary in our discussion. We carefully propagate the effect of completeness cuts on the non-Gaussian error contributions in the yy-PS analysis, highlighting the benefits of masking massive clusters. Our analysis of the Planck yy-PS for the unresolved component yields a mass bias of b = 0.15 ± 0.04, consistent with the standard value (b ≈ 0.2), in comparison to b = 0.4 ± 0.05 for the total yy-PS. We find indications for this drift being driven by the CIB-tSZ cross-correlation, which dominantly originates from clusters in the resolved component of the y-map. Another possible explanation is the presence of a mass-dependent bias, which has been theoretically motivated and can be quantified with our novel method. We furthermore find first hints for the presence of the 2-halo terms in the yy-PS. Finally, the proposed method provides a new framework for combining the complementary information of the CNC and PS analyses in upcoming SZ surveys.

中文翻译：

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拔尖取胜：一种新的SZ功率谱方法和修正的康普顿y-map分析

Sunyaev-Zeldovich (SZ) 效应提供了一种强大的宇宙学探测，传统上它是作为簇数计数 (CNC) 或功率谱 (PS) 分析独立处理的。在这里，我们通过在 yy-PS 建模中引入通常仅用于 CNC 分析的测量完整性函数来设计一种分析 y-map 的新方法。这提供了一种系统方法，主要基于 SZ observables，用于获得两个互补的 y-map，一个包含检测/解析的集群，另一个仅依赖于扩散/未解析的 SZ 贡献。我们使用在普朗克 CNC 分析中获得的集群目录来定义连接这两个 y-map 的完整性函数。拆分取决于选择的信噪比检测阈值，我们在讨论中会有所不同。我们在 yy-PS 分析中仔细传播了完整性削减对非高斯误差贡献的影响，突出了屏蔽大规模集群的好处。我们对未解析组分的普朗克 yy-PS 分析产生了 b = 0.15 ± 0.04 的质量偏差，与标准值 (b ≈ 0.2) 一致，而总 yy-PS 的质量偏差为 b = 0.4 ± 0.05。我们发现这种漂移的迹象是由 CIB-tSZ 互相关驱动的，该互相关主要源自 y-map 的已解析组件中的簇。另一种可能的解释是存在质量依赖偏差，这在理论上是有动机的，可以用我们的新方法量化。我们还发现了 yy-PS 中存在 2-halo 项的第一个提示。最后，