Cosmological distance forecasts for the CSST Galaxy Survey using BAO peaks

TL;DR

This study forecasts the precision of cosmological distance measurements using BAO peaks in the upcoming CSST galaxy survey, accounting for redshift uncertainties and employing a wedge 2PCF approach to improve detection.

Contribution

It introduces a method to mitigate redshift errors in BAO measurements using wedge 2PCF, providing detailed forecasts for the CSST survey's cosmological parameter constraints.

Findings

Wedge 2PCF outperforms monopole 2PCF in BAO peak detection.

Perpendicular distance scale $ heta$ is precisely constrained (~1-3%).

Radial distance measurements are more sensitive to redshift errors, with larger uncertainties at higher $\sigma_0$.

Abstract

The measurement of cosmological distances using baryon acoustic oscillations (BAO) is crucial for studying the universe's expansion. The Chinese Space Station Telescope (CSST) galaxy redshift survey, with its vast volume and sky coverage, provides an opportunity to address key challenges in cosmology. However, redshift uncertainties in galaxy surveys can degrade both angular and radial distance estimates. In this study, we forecast the precision of BAO distance measurements using mock CSST galaxy samples, applying a two-point correlation function (2PCF) wedge approach to mitigate redshift errors. We simulate redshift uncertainties of $\sigma_0 = 0.003$ and $\sigma_0 = 0.006$, representative of expected CSST errors, and examine their effects on the BAO peak and distance scaling factors, $\alpha_\perp$ and $\alpha_\parallel$, across redshift bins within $0.0 < z \leqslant 1.0$. The wedge 2PCF method proves more effective in detecting the BAO peak compared to the monopole 2PCF, particularly for $\sigma_0 = 0.006$. Constraints on the BAO peaks show that $\alpha_\perp$ is well constrained around 1.0, regardless of $\sigma_0$, with precision between 1% and 3% across redshift bins. In contrast, $\alpha_\parallel$ measurements are more sensitive to increases in $\sigma_0$. For $\sigma_0 = 0.003$, the results remain close to the fiducial value, with uncertainties ranging between 4% and 9%; for $\sigma_0 = 0.006$, significant deviations from the fiducial value are observed. We also study the ability to measure parameters $(\Omega_m, H_0r_\mathrm{d})$ using distance measurements, proving robust constraints as a cosmological probe under CSST-like redshift uncertainties.