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arXiv 2103.14075astro-ph.CO
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从莱曼- $α$森林的三维分布看BAO以外的宇宙学

Cosmology beyond BAO from the 3D distribution of the Lyman-$α$ forest

Andrei Cuceu, Andreu Font-Ribera, Benjamin Joachimi, Seshadri Nadathur

摘要:

提出了一种新的方法来拟合Lyman-$α$(Ly $α$)森林三维(3D)相关函数的全形状,以测量Alcock-Paczynski(AP)效应。我们的方法保留了重子声振荡(BAO)分析的鲁棒性,同时还提供了更广泛尺度范围内的额外宇宙学信息。我们计算理想化的预测暗能量光谱仪(DESI)使用Ly $α$自相关和类星体的互相关,并显示这种类型的分析如何提高宇宙学约束。DESI Ly $α$ BAO分析预计将以$\sim0.9\%$的精度测量$H(z_\mathrm{eff})r_\mathrm{d}$和$D_\mathrm{M}(z_\mathrm{eff})/r_\mathrm{d}$,其中$H$是哈勃参数,$r_\mathrm{d}$是共动BAO尺度,$D_\mathrm{M}$是共动角直径距离,测量的有效红移是$z_\mathrm{eff}\simeq2.3$。通过拟合AP参数的完整形状的两个相关性,我们表明,我们可以得到一个精度的$\sim0.5-0.6\%$上的每一个$H(z_\mathrm{eff})r_\mathrm{d}$和$D_\mathrm{M}(z_\mathrm{eff})/r_\mathrm{d}$。此外,我们表明,一个联合的全形状分析的Ly $α$自相关性和类星体的互相关可以测量的线性增长率倍的$8\;h^{-1}$ Mpc,$fσ_8(z_\mathrm{eff})$领域的物质波动的幅度。这样的分析可以提供在红移$z_\mathrm{eff}>2$处对$fσ_8(z_\mathrm{eff})$的首次测量。通过结合这与类星体的自相关在联合分析的三个高红移两点相关函数,我们表明,DESI可以测量$fσ_8(z_\mathrm{eff}\simeq2.3)$的精度$5-12\%$,这取决于最小的尺度拟合。

英文摘要:

We propose a new method for fitting the full-shape of the Lyman-$α$ (Ly$α$) forest three-dimensional (3D) correlation function in order to measure the Alcock-Paczynski (AP) effect. Our method preserves the robustness of baryon acoustic oscillations (BAO) analyses, while also providing extra cosmological information from a broader range of scales. We compute idealized forecasts for the Dark Energy Spectroscopic Instrument (DESI) using the Ly$α$ auto-correlation and its cross-correlation with quasars, and show how this type of analysis improves cosmological constraints. The DESI Ly$α$ BAO analysis is expected to measure $H(z_\mathrm{eff})r_\mathrm{d}$ and $D_\mathrm{M}(z_\mathrm{eff})/r_\mathrm{d}$ with a precision of $\sim0.9\%$ each, where $H$ is the Hubble parameter, $r_\mathrm{d}$ is the comoving BAO scale, $D_\mathrm{M}$ is the comoving angular diameter distance and the effective redshift of the measurement is $z_\mathrm{eff}\simeq2.3$. By fitting the AP parameter from the full shape of the two correlations, we show that we can obtain a precision of $\sim0.5-0.6\%$ on each of $H(z_\mathrm{eff})r_\mathrm{d}$ and $D_\mathrm{M}(z_\mathrm{eff})/r_\mathrm{d}$. Furthermore, we show that a joint full-shape analysis of the Ly$α$ auto-correlation and its cross-correlation with quasars can measure the linear growth rate times the amplitude of matter fluctuations in spheres of $8\;h^{-1}$Mpc, $fσ_8(z_\mathrm{eff})$. Such an analysis could provide the first ever measurement of $fσ_8(z_\mathrm{eff})$ at redshift $z_\mathrm{eff}>2$. By combining this with the quasar auto-correlation in a joint analysis of the three high-redshift two-point correlation functions, we show that DESI could be able to measure $fσ_8(z_\mathrm{eff}\simeq2.3)$ with a precision of $5-12\%$, depending on the smallest scale fitted.

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