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Modelling the asymmetry of the halo cross-correlation function with relativistic effects at quasi-linear scales
Monthly Notices of the Royal Astronomical Society ( IF 4.7 ) Pub Date : 2020-08-06 , DOI: 10.1093/mnras/staa2232
Shohei Saga 1 , Atsushi Taruya 1, 2 , Michel-Andrès Breton 3 , Yann Rasera 4
Affiliation  

The observed galaxy distribution via galaxy redshift surveys appears distorted due to redshift-space distortions (RSD). While one dominant contribution to RSD comes from the Doppler effect induced by the peculiar velocity of galaxies, the relativistic effects, including the gravitational redshift effect, are recently recognized to give small but important contributions. Such contributions lead to an asymmetric galaxy clustering along the line of sight, and produce non-vanishing odd multipoles when cross-correlating between different biased objects. However, non-zero odd multipoles are also generated by the Doppler effect beyond the distant-observer approximation, known as the wide-angle effect, and at quasi-linear scales, the interplay between wide-angle and relativistic effects becomes significant. In this paper, based on the formalism developed by Taruya et al., we present a quasi-linear model of the cross-correlation function taking a proper account of both the wide-angle and gravitational redshift effects, as one of the major relativistic effects. Our quasi-linear predictions of the dipole agree well with simulations even at the scales below $20\,h^{-1}\,$Mpc, where non-perturbative contributions from the halo potential play an important role, flipping the sign of the dipole amplitude. When increasing the bias difference and redshift, the scale where the sign flip happens is shifted to a larger scale. We derive a simple approximate formula to quantitatively account for the behaviors of the sign flip.

中文翻译:

在准线性尺度上对具有相对论效应的光环互相关函数的不对称性进行建模

由于红移空间畸变(RSD),通过星系红移勘测观测到的星系分布出现了扭曲。虽然对 RSD 的一个主要贡献来自于由星系的特殊速度引起的多普勒效应,但最近认识到包括引力红移效应在内的相对论效应做出了微小但重要的贡献。这种贡献导致沿视线聚集的不对称星系,并在不同偏置物体之间进行互相关时产生不消失的奇多极。然而,非零奇多极点也由超出远距离观测者近似值的多普勒效应产生,称为广角效应,在准线性尺度上,广角效应和相对论效应之间的相互作用变得显着。在本文中,基于 Taruya 等人开发的形式主义,我们提出了互相关函数的准线性模型,同时适当考虑了广角和引力红移效应,作为主要的相对论效应之一。我们对偶极子的准线性预测​​即使在低于 $20\,h^{-1}\,$Mpc 的尺度下也与模拟非常吻合,其中来自晕势的非微扰贡献起着重要作用,翻转了偶极振幅。当增加偏置差和红移时,发生符号翻转的尺度会移到更大的尺度。我们推导出一个简单的近似公式来定量解释符号翻转的行为。我们提出了一个互相关函数的准线性模型,同时适当考虑了广角和引力红移效应,作为主要的相对论效应之一。我们对偶极子的准线性预测​​即使在低于 $20\,h^{-1}\,$Mpc 的尺度下也与模拟非常吻合,其中来自晕势的非微扰贡献起着重要作用,翻转了偶极振幅。当增加偏置差和红移时,发生符号翻转的尺度会移到更大的尺度。我们推导出一个简单的近似公式来定量解释符号翻转的行为。我们提出了一个互相关函数的准线性模型,同时适当考虑了广角和引力红移效应,作为主要的相对论效应之一。我们对偶极子的准线性预测​​即使在低于 $20\,h^{-1}\,$Mpc 的尺度下也与模拟非常吻合,其中来自晕势的非微扰贡献起着重要作用,翻转了偶极振幅。当增加偏置差和红移时,发生符号翻转的尺度会移到更大的尺度。我们推导出一个简单的近似公式来定量解释符号翻转的行为。其中来自晕势的非微扰贡献起着重要作用,翻转偶极子振幅的符号。当增加偏置差和红移时,发生符号翻转的尺度会移到更大的尺度。我们推导出一个简单的近似公式来定量解释符号翻转的行为。其中来自晕势的非微扰贡献起着重要作用,翻转偶极子振幅的符号。当增加偏置差和红移时,发生符号翻转的尺度会移到更大的尺度。我们推导出一个简单的近似公式来定量解释符号翻转的行为。
更新日期:2020-08-06
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