arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.12751astro-ph.CO
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对晕边界的重新定义导出了一个简单而精确的大尺度结构晕模型

A Redefinition of the Halo Boundary Leads to a Simple yet Accurate Halo Model of Large Scale Structure

Rafael Garcia, Eduardo Rozo, Matthew R. Becker, Surhud More

摘要:

我们提出了一个模型的晕-质量关联函数,明确纳入晕排斥。我们假设晕跟踪质量的方式,可以使用一个单一的尺度独立的偏置参数来描述。然而,我们的模型表现出规模依赖性偏置由于晕排斥的影响,使用"软“(即不是无限尖锐)晕边界,和差异的一个晕项贡献$ξ_{\rm hm}$和$ξ_{\rm mm}$。这些功能自然导致我们重新定义的晕边界,位于“通过眼睛”的过渡半径从一个-晕到两个-晕项的晕-质量关联函数。当采用我们提出的定义时,我们的模型成功地描述了晕-质量关联函数与$\approx 2\%$残差的径向范围$0.1\ h^{-1}{\rm Mpc} < r < 80\ h^{-1}{\rm Mpc}$,并为晕质量的范围$10^{13}\ h^{-1}{\rm M}_{\odot} < M < 10^{15}\ h^{-1}{\rm M}_{\odot}$。我们提出的晕边界是由一个大致恒定的乘法因子的回溅半径。以87百分位数为参考,我们发现$r_{\rm t}/R_{\rm sp} \approx 1.3$。令人惊讶的是,我们提出的定义结果晕丰度,以及描述的压力-Schechter质量函数与$δ_{\rm sc}=1.449\pm 0.004$。通过$\approx 10\%-15\%$使聚类偏差参数偏离标准背景分割预测。该一致性水平与使用更标准的晕轮定义所实现的一致性水平相当。

英文摘要:

We present a model for the halo--mass correlation function that explicitly incorporates halo exclusion. We assume that halos trace mass in a way that can be described using a single scale-independent bias parameter. However, our model exhibits scale dependent biasing due to the impact of halo-exclusion, the use of a ``soft'' (i.e. not infinitely sharp) halo boundary, and differences in the one halo term contributions to $ξ_{\rm hm}$ and $ξ_{\rm mm}$. These features naturally lead us to a redefinition of the halo boundary that lies at the ``by eye'' transition radius from the one--halo to the two--halo term in the halo--mass correlation function. When adopting our proposed definition, our model succeeds in describing the halo--mass correlation function with $\approx 2\%$ residuals over the radial range $0.1\ h^{-1}{\rm Mpc} < r < 80\ h^{-1}{\rm Mpc}$, and for halo masses in the range $10^{13}\ h^{-1}{\rm M}_{\odot} < M < 10^{15}\ h^{-1}{\rm M}_{\odot}$. Our proposed halo boundary is related to the splashback radius by a roughly constant multiplicative factor. Taking the 87-percentile as reference we find $r_{\rm t}/R_{\rm sp} \approx 1.3$. Surprisingly, our proposed definition results in halo abundances that are well described by the Press-Schechter mass function with $δ_{\rm sc}=1.449\pm 0.004$. The clustering bias parameter is offset from the standard background-split prediction by $\approx 10\%-15\%$. This level of agreement is comparable to that achieved with more standard halo definitions.

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