Perturbation theory for the non-linear halo power spectrum: the renormalized bias and halo bias
Perturbation theory for the non-linear halo power spectrum: the renormalized bias and halo bias
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DOI：
10.1093/mnras/stt716
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发表时间：
2012-12
影响因子：
4.8
通讯作者：
A. Nishizawa;M. Takada;T. Nishimichi
中科院分区：
文献类型：
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作者：
A. Nishizawa;M. Takada;T. Nishimichi
结合物质聚类的微扰理论（PT）、局部偏置模型和晕偏置模型，重新建立了描述弱非线性状态下晕-物质交叉功率谱和晕自功率谱的解析模型。功率谱的非线性是由物质的非线性聚类以及物质与晕密度场之间的非线性关系引起的。通过“重整化”方法，我们将非线性功率谱表示为两个贡献的总和：具有有效线性偏置参数的非线性物质功率谱和以晕偏置参数为系数的高阶PT谱。光晕自动功率谱中包含需要作为附加自由参数处理的残余弹粒噪声污染。高阶PT谱的项和残余散粒噪声在弱非线性状态下相对于非线性物质功率谱产生标度相关的偏置函数。我们表明，对于不同的光晕质量仓，模型预测与从一套高分辨率$N$ -body模拟（$k\simeq 0.2 h$ /Mpc, $z=0.35$）中测量到的光谱非常吻合。
We revisit an analytical model to describe the halo-matter cross-power spectrum and the halo auto-power spectrum in the weakly nonlinear regime, by combining the perturbation theory (PT) for matter clustering, the local bias model, and the halo bias. Nonlinearities in the power spectra arise from the nonlinear clustering of matter as well as the nonlinear relation between the matter and halo density fields. By using the "renormalization" approach, we express the nonlinear power spectra by a sum of the two contributions: the nonlinear matter power spectrum with the effective linear bias parameter, and the higher-order PT spectra having the halo bias parameters as the coefficients. The halo auto-power spectrum includes the residual shot noise contamination that needs to be treated as additional free parameter. The term(s) of the higher-order PT spectra and the residual shot noise cause a scale-dependent bias function relative to the nonlinear matter power spectrum in the weakly nonlinear regime. We show that the model predictions are in good agreement with the spectra measured from a suit of high-resolution $N$-body simulations up to $k\simeq 0.2 h$/Mpc at $z=0.35$, for different halo mass bins.