标题： 用COBE/FIRAS数据约束宇宙微波背景中的$μ$和$y$畸变 显示英文标题

标题： Constraining $μ$ and $y$ distortions in the Cosmic Microwave Background with COBE/FIRAS Data

摘要： 本文提出了一种新方法，利用COBE/FIRAS数据对宇宙微波背景（CMB）中的$\mu$和y畸变进行约束。 分析基于黑体辐射反演（BRI）的概念，这是一种通常用于从辐射功率谱确定温度分布的数学技术。 我们通过引入非零的化学势$\mu$（通过玻色-爱因斯坦分布）以及保持单极温度不变的同时引入康普顿参数$y$，研究理想黑体光谱的偏差或光谱畸变。 我们推断这些畸变的概率分布函数。 最后，我们在$68\%$置信区间内推导出$\mu = (8.913 \pm 0.736) \times 10^{-5}$和$y = (1.532 \pm 0.092) \times 10^{-5}$。 结果与先前值一致，并对CMB光谱畸变和原初宇宙的协同效应提供了更严格的约束。 显示英文摘要

摘要： This paper presents a novel approach to constrain the $\mu$- and y- distortions in the Cosmic Microwave Background (CMB) using the COBE/FIRAS data. The analysis draws from the concept of blackbody radiation inversion (BRI), a mathematical technique typically used to determine the temperature distribution from a radiated power spectrum. We study the deviations from the ideal blackbody spectrum or the spectral distortions by incorporating first a non-zero chemical potential $\mu$ via the Bose-Einstein distribution and then the Compton parameter $y$ while keeping the monopole temperature constant. We infer the results as probability distribution functions on these distortions. Finally, we derive $\mu = (8.913 \pm 0.736) \times 10^{-5}$ and $y = (1.532 \pm 0.092) \times 10^{-5}$ at a $68\%$ confidence interval. The results are consistent with prior values and provide tighter constraints on the CMB spectral distortion and synergies of the primordial Universe.