AI 中文总结
研究通过距离指示器与星系聚类校准距离指示器，利用角交叉相关性约束校准系统误差导致的距离测量偏差，以Ia型超新星为测试案例做费舍尔预测，结果对哈勃张力研究有重要意义。
AI 中文摘要
我们表明，在假设的宇宙学模型中解释时，距离指示器与星系红移目录之间的角交叉相关性可以约束由校准系统误差引起的距离测量中的潜在偏差。作为一个测试案例，我们考虑一个简单的场景，其中恒定的校准偏移量$\Delta M$将所有观测距离移动一个乘法因子，并且我们对现有和即将进行的调查对$\Delta M$和$H_0$的约束能力进行了费舍尔预测。在我们最乐观的场景中，基于LSST观测到的Ia型超新星的预期数量和DESI最终数据发布，我们发现$\sigma_{\Delta M} \approx 0.05$和$\sigma_{H_0} \approx 1.81~\mathrm{km~s^{-1}~Mpc^{-1}}$。这对哈勃张力具有重要意义，因为仅将差异解释为低红移测量中的校准系统误差将需要$\Delta M \approx 0.13$。
英文摘要
We show that angular cross-correlations between distance indicators and galaxy redshift catalogues, when interpreted within an assumed cosmological model, can constrain potential biases in distance measurements induced by calibration systematics. As a test case, we consider a simple scenario in which a constant calibration offset $ΔM$ shifts all observed distances by a multiplicative factor, and we produce Fisher forecasts for the constraining power on $ΔM$ and $H_0$ from existing and upcoming surveys. In our most optimistic scenario, based on the expected number of SN Ia observed by LSST and the DESI final data release, we find $σ_{ΔM} \approx 0.05$ and $σ_{H_0} \approx 1.81~\mathrm{km~s^{-1}~Mpc^{-1}}$. This has important implications for the Hubble tension, since explaining the discrepancy purely as a calibration systematic in low-$z$ measurements would require $ΔM \approx 0.13$.
Comments8 pages, 4 figures, 1 table. Prepared for submission to Physical Review
