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arXiv 1206.4070astro-ph.CO
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红移空间畸变的分布函数方法,第III部分:晕和星系

Distribution function approach to redshift space distortions, Part III: halos and galaxies

Teppei Okumura, Uros Seljak, Vincent Desjacques

摘要:

最近的研究表明,红移空间中的功率谱可以表示为数加权速度矩之间的互功率谱之和。我们调查这些模拟星系和暗物质晕的功率谱的属性,并将它们与暗物质功率谱进行比较,概括了偏差的概念。由于所有的数量是数字加权的这种方法是很好地定义,即使是稀疏的系统,如大量的晕,在对比以前的方法RSD的速度相关性进行了探讨。我们发现,数密度加权导致一个强大的规模依赖的偏置项的动量密度自相关和互相关密度。这种趋势变得更加显着的更偏置晕,并导致相对于线性理论的RSD功率的增强。上帝之手的影响,这在这种形式主义来自高阶矩的相关性超出动量密度,导致平滑的功率谱,可以减少这种增强的功率,但相对较小的晕没有小规模的速度色散。相比之下,对于一个更现实的星系样本与卫星的速度色散产生的卫星运动内的晕导致更大的功率抑制在小尺度上,但这取决于卫星的分数。我们研究了几种统计,如二维功率谱、多极矩、μ 2的幂和位形空间统计。总的来说,我们发现,在现实的星系样本,如明亮的红星系的非线性效应影响的红移空间集群在非常大的尺度:例如,四极矩的影响10%,当k<0.1h/mpc,这意味着这些影响需要了解,如果我们想提取宇宙学信息的红移空间扭曲。

英文摘要:

It was recently shown that the power spectrum in redshift space can be written as a sum of cross-power spectra between number weighted velocity moments. We investigate the properties of these power spectra for simulated galaxies and dark matter halos and compare them to the dark matter power spectra, generalizing the concept of the bias. Because all of the quantities are number weighted this approach is well defined even for sparse systems such as massive halos, in contrasts to the previous approaches to RSD where velocity correlations have been explored. We find that the number density weighting leads to a strong scale dependence of the bias terms for momentum density auto-correlation and cross-correlation with density. This trend becomes more significant for the more biased halos and leads to an enhancement of RSD power relative to the linear theory. Fingers-of-god effects, which in this formalism come from the correlations of the higher order moments beyond the momentum density, lead to smoothing of the power spectrum and can reduce this enhancement of power, but are relatively small for halos with no small-scale velocity dispersion. In comparison, for a more realistic galaxy sample with satellites the velocity dispersion generated by satellite motions inside the halos leads to a larger power suppression on small scales, but this depends on the satellite fraction. We investigate several statistics such as the two-dimensional power spectrum, its multipole moments, its powers of mu^2, and configuration space statistics. Overall we find that the nonlinear effects in realistic galaxy samples such as luminous red galaxies affect the redshift space clustering on very large scales: for example, the quadrupole moment is affected by 10% for k<0.1h/mpc, which means that these effects need to be understood if we want to extract cosmological information from the redshift space distortions.

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