通过晚期数据集提取Pacif参数化模型中的$H_{0}$和$r_{d}$
Extracting $H_{0}$ and $r_{d}$ in Pacif Parametrization Models through Late-Time Dataset
AI总结：
本研究基于哈勃参数Pacif参数化方案的五种模型，利用多类晚期宇宙学观测数据，在无CMB先验下约束$H_{0}$与声视界$r_{d}$，结果与Planck数据一致且模型均符合最新观测。
摘要：
本研究考察了源自哈勃参数（$H$）Pacif参数化方案的五种模型，它们对应减速参数（DP）的线性到五次多项式等多种形式。我们的目标是探究这些DP变化对晚期演化的影响，以及它们缓解宇宙学张力的潜力。为增强模型约束，我们在协方差矩阵中引入非对角元素，通过模拟数据点相关性来更好地捕捉统计特性。我们还测试了$H_{0}$和$r_{d}$对Pacif参数化方案的敏感性，将声视界$r_{d}$视为自由参数以避免施加CMB（宇宙微波背景）先验。这使得晚期数据能够结合红移范围$0.106 < z < 2.33$内的最新重子声学振荡（BAO）测量结果，以及来自宇宙计时法、Ia型超新星（SNIa）、伽马射线暴（GRB）和类星体的哈勃数据，对$r_{d}$和其他宇宙学参数进行约束。我们的分析给出了$H_{0}$和$r_{d}$的最优拟合值，与Planck CMB数据表现出显著一致性。通过赤池信息准则分析模型后，我们得出结论：所有模型都与最新观测结果吻合良好。
英文摘要：
This study examines five models derived from the Pacif parametrization scheme of the Hubble parameter ($H$), yielding various linear to quintic forms of the deceleration parameter (DP). Our goal is to explore the impact of these DP variations on late-time evolution and their potential to alleviate cosmological tensions. To enhance model constraints, we introduce non-diagonal elements into the covariance matrix to better capture statistical properties by simulating data point correlations. We also test the sensitivity of $H_{0}$ and $r_{d}$ to the Pacif parametrization scheme, treating the sound horizon $r_{d}$ as a free parameter to avoid imposing a CMB prior. This allows late-time data to constrain $r_{d}$ alongside other cosmological parameters, incorporating recent Baryon Acoustic Oscillations (BAO) measurements and Hubble data from Cosmic Chronometers Methods, Type Ia Supernovae (SNIa), Gamma-Ray Bursts (GRBs), and Quasars over a redshift range of $0.106 < z < 2.33$. Our analysis provides optimal fit values for $H_{0}$ and $r_{d}$, showing notable consistency with Planck CMB data. By using the Akaike information criterion, we analyze the models and conclude that all models have good agreement with the most recent observations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
