论文标题
光环边界的重新定义导致了大规模结构的简单而准确的光晕模型
A Redefinition of the Halo Boundary Leads to a Simple yet Accurate Halo Model of Large Scale Structure
论文作者
论文摘要
我们提出了一个明确包含光晕排除的卤代质量相关函数的模型。我们假设Halos痕量质量可以使用单个尺度无关的偏置参数来描述。但是，我们的模型由于卤代排斥的影响而表现出比例依赖性的偏见，使用``软''（即不是无限尖锐的晕圈边界）以及一个晕halo术语对$ξ_{\ rm hm hm} $和$ξ__ {\ rm mm mm} $的差异的差异。 These features naturally lead us to a redefinition of the halo boundary that lies at the ``by eye'' transition radius from the one--halo to the two--halo term in the halo--mass correlation function.当采用我们提出的定义时，我们的模型成功地描述了halo-质量的相关函数，$ \ $ \ 2 \％$残差在径向范围内$ 0.1 \ h^{ - 1} { - 1} {\ rm mpc} <rm mpc} <r <r <80 \ h^{ - 1} { - 1} {\ rm mpc} {\ rm mpc} $ 10} $ 10} h^{ - 1} {\ rm m} _ {\ odot} <m <10^{15} \ h^{ - 1} {\ rm m} _ {\ odot} $。我们提出的光环边界与大致恒定的乘法因子与飞溅半径有关。以87％的参考为参考，我们发现$ r _ {\ rm t}/r _ {\ rm sp} \大约1.3 $。令人惊讶的是，我们提出的定义会导致光环丰度通过$δ_ {\ rm sc} = 1.449 \ pm 0.004 $很好地描述。聚类偏差参数从标准的背景策略预测偏移$ \ 10 \％-15 \％$。这一水平的协议与具有更标准的光环定义相媲美。
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.
