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arXiv 1209.0780astro-ph.CO
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有偏示踪剂的卷积拉格朗日微扰理论

Convolution Lagrangian perturbation theory for biased tracers

Jordan Carlson, Beth Reid, Martin White

摘要:

我们提出了一个新的制定拉格朗日微扰理论,允许准确的预测的真实和红移空间的质量场和暗物质晕的关联函数。我们的公式涉及拉格朗日微扰理论的非微扰重申,实际上可以被视为松原(2008 a,b)形式的部分重申,其中我们保持指数化所有在大分离时趋于常数的项。我们的方法的一个关键特点是,我们自然地恢复Zel'dovich近似的最低阶的物质关联函数的扩展。我们比较了我们的结果与一套N体模拟,并获得良好的协议的关联函数在实空间和红移空间的双关联函数。该协议变得更糟的多极矩的红移空间,晕关联函数。我们的形式主义自然包括非线性偏置,并解释了强偏置依赖的多极矩的红移空间关联函数中看到的N体模拟。

英文摘要:

We present a new formulation of Lagrangian perturbation theory which allows accurate predictions of the real- and redshift-space correlation functions of the mass field and dark matter halos. Our formulation involves a non-perturbative resummation of Lagrangian perturbation theory and indeed can be viewed as a partial resummation of the formalism of Matsubara (2008a,b) in which we keep exponentiated all of the terms which tend to a constant at large separation. One of the key features of our method is that we naturally recover the Zel'dovich approximation as the lowest order of our expansion for the matter correlation function. We compare our results against a suite of N-body simulations and obtain good agreement for the correlation functions in real-space and for the monopole correlation function in redshift space. The agreement becomes worse for higher multipole moments of the redshift-space, halo correlation function. Our formalism naturally includes non-linear bias and explains the strong bias-dependence of the multipole moments of the redshift-space correlation function seen in N-body simulations.

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