微扰理论支持的II：非线性偏置、重子声学振荡和实空间千禧年模拟
Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space
摘要：
利用标准的三阶微扰理论计算了实空间中的非线性星系功率谱，包括非线性畸变的重子声学振荡。计算是基于这样的假设，即星系的数密度是一个当地的功能的基础上，非线性密度场。允许星系偏差是非线性和随机的。我们表明，PT计算同意从千年模拟估计的星系功率谱，在弱非线性制度（定义的物质功率谱）在高红移，$1\le z\le6$。我们还表明，一旦3个自由参数特征的星系偏差被边缘化，PT功率谱拟合千年模拟数据产生无偏估计的距离尺度，$D$，在统计误差。这个距离尺度对应于真实星系巡天中的角直径距离$D_A(z)$和膨胀率$H(z)$。本文的结果仍然局限于实空间。未来的工作应包括非线性红移空间畸变的影响。然而，我们的研究结果表明，在弱非线性制度在高红移的非线性星系偏置是合理的控制。
英文摘要：
We calculate the non-linear galaxy power spectrum in real space, including non-linear distortion of the Baryon Acoustic Oscillations, using the standard 3rd-order perturbation theory (PT). The calculation is based upon the assumption that the number density of galaxies is a local function of the underlying, non-linear density field. The galaxy bias is allowed to be both non-linear and stochastic. We show that the PT calculation agrees with the galaxy power spectrum estimated from the Millennium Simulation, in the weakly non-linear regime (defined by the matter power spectrum) at high redshifts, $1\le z\le6$. We also show that, once 3 free parameters characterizing galaxy bias are marginalized over, the PT power spectrum fit to the Millennium Simulation data yields unbiased estimates of the distance scale, $D$, to within the statistical error. This distance scale corresponds to the angular diameter distance, $D_A(z)$, and the expansion rate, $H(z)$, in real galaxy surveys. Our results presented in this paper are still restricted to real space. The future work should include the effects of non-linear redshift space distortion. Nevertheless, our results indicate that non-linear galaxy bias in the weakly non-linear regime at high redshifts is reasonably under control.
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