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arXiv 1403.3402astro-ph.CO
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星系团的宇宙学:晕质量函数中的系统效应

Cosmology with Galaxy Clusters: Systematic Effects in the Halo Mass Function

Aseem Paranjape

摘要:

我们调查潜在的系统性影响,在约束的原始波动σ_8所产生的晕质量函数的选择,在当前和即将到来的星系团调查的似然分析的振幅。我们研究了Tinker等人(T08)广泛使用的N体模拟拟合,作为替代,最近提出的分析模型的偏移集峰(ESP)。我们首先通过对ESP质量函数进行抽样以生成模拟星表,并使用T08拟合对它们进行分析来评估这些规定在约束σ_8时的相对偏差,以选择不同的巡天选择阈值,质量定义和统计先验。为了评估每个处方中的绝对偏差水平,然后我们重复分析N体模拟中的暗物质晕目录,该模拟旨在模拟普朗克SZ星系团当前数据发布中的质量分布。该N体分析表明,使用T08拟合而不考虑在质量定义之间转换时引入的分散(或者,由拟合参数上的误差引起的分散),对于当前数据,可以系统地高估σ_8的值多达2σ,而考虑这种分散的分析在σ_8中应该接近无偏。随着在即将到来的数据发布中预期的对象数量的增加,无论考虑散射,T08拟合都可能将σ_8的值高估约1.5σ。ESP质量函数会导致系统性更有偏见但可比较的结果。ESP模型的一个优点是它对质量函数中弱非普适性的自然预测,该质量函数密切跟踪模拟中测量的质量函数,并由T08拟合描述。我们建议,现在可以谨慎地构建新的基于ESP的无偏拟合函数,用于不久的将来的更大的数据集。

英文摘要:

We investigate potential systematic effects in constraining the amplitude of primordial fluctuations σ_8 arising from the choice of halo mass function in the likelihood analysis of current and upcoming galaxy cluster surveys. We study the widely used N-body simulation fit of Tinker et al. (T08) and, as an alternative, the recently proposed analytical model of Excursion Set Peaks (ESP). We first assess the relative bias between these prescriptions when constraining σ_8 by sampling the ESP mass function to generate mock catalogs and using the T08 fit to analyse them, for various choices of survey selection threshold, mass definition and statistical priors. To assess the level of absolute bias in each prescription, we then repeat the analysis on dark matter halo catalogs in N-body simulations designed to mimic the mass distribution in the current data release of Planck SZ clusters. This N-body analysis shows that using the T08 fit without accounting for the scatter introduced when converting between mass definitions (alternatively, the scatter induced by errors on the parameters of the fit) can systematically over-estimate the value of σ_8 by as much as 2σ for current data, while analyses that account for this scatter should be close to unbiased in σ_8. With an increased number of objects as expected in upcoming data releases, regardless of accounting for scatter, the T08 fit could over-estimate the value of σ_8 by ~1.5σ. The ESP mass function leads to systematically more biased but comparable results. A strength of the ESP model is its natural prediction of a weak non-universality in the mass function which closely tracks the one measured in simulations and described by the T08 fit. We suggest that it might now be prudent to build new unbiased ESP-based fitting functions for use with the larger datasets of the near future.

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