Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture
Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture
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DOI：
10.1103/physrevd.78.083519
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发表时间：
2008-07
影响因子：
5
通讯作者：
T. Matsubara
中科院分区：
文献类型：
--
作者：
T. Matsubara
引力不稳定性的非线性微扰理论扩展到包括偏置和红移空间扭曲的影响，这是不可避免的预测可观测量的星系调查。最近，大尺度星系团中的弱非线性效应引起了人们极大的兴趣，因为精确确定重子声学振荡的尺度对于通过星系巡天研究暗能量的性质至关重要。我们发现，当地的拉格朗日偏差和红移空间的扭曲自然纳入我们的形式主义的微扰理论与remation技术通过拉格朗日图片。我们的形式主义是适用于任何偏置计划，这是当地的拉格朗日空间，包括晕偏置作为一个特殊情况。给出了红移空间中晕团簇的弱非线性效应。我们假设只有一个基本的想法晕模型：晕形式根据扩展的Press-Schechter理论，和拉格朗日空间中的空间分布是局部偏置。没有必要假设球形坍缩模型遵循动力学演化，这在标准晕处方中是额外假设的。给出了红移空间中晕的功率谱和相关函数的单圈修正。而不是依赖于昂贵的数值模拟，我们的方法提供了一个分析的方式调查的弱非线性效应，同时包括非线性偏置和非线性红移空间失真。非线性在晕偏中引入弱尺度依赖。标度依赖性在傅立叶空间中是一个光滑函数，并且偏置不会严重改变重子声振荡的功率谱特征。相关函数中的相同特征受偏置的非线性效应的影响较小。
The nonlinear perturbation theory of gravitational instability is extended to include effects of both biasing and redshift-space distortions, which are inevitable in predicting observable quantities in galaxy surveys. Weakly nonlinear effects in galaxy clustering on large scales recently attracted great interest, since the precise determination of scales of baryon acoustic oscillations is crucial to investigate the nature of dark energy by galaxy surveys. We find that a local Lagrangian bias and redshift-space distortions are naturally incorporated in our formalism of perturbation theory with a resummation technique via the Lagrangian picture. Our formalism is applicable to any biasing scheme which is local in Lagrangian space, including the halo bias as a special case. Weakly nonlinear effects on halo clustering in redshift space are analytically given. We assume only a fundamental idea of the halo model: haloes form according to the extended Press-Schechter theory, and the spatial distributions are locally biased in Lagrangian space. There is no need for assuming the spherical collapse model to follow the dynamical evolution, which is additionally assumed in standard halo prescriptions. One-loop corrections to the power spectrum and correlation function of haloes in redshift space are explicitly derived and presented. Instead of relying on expensive numerical simulations, our approach provides an analytic way of investigating the weakly nonlinear effects, simultaneously including the nonlinear biasing and nonlinear redshift-space distortions. Nonlinearity introduces a weak scale dependence in the halo bias. The scale dependence is a smooth function in Fourier space, and the bias does not critically change the feature of baryon acoustic oscillations in the power spectrum. The same feature in the correlation function is less affected by nonlinear effects of biasing.