群聚层析术：通过薄红移壳层中的角群聚测量宇宙学距离
Clustering tomography: measuring cosmological distances through angular clustering in thin redshift shells
摘要：
我们测试的宇宙学意义的研究星系聚类使用层析成像的方法，通过计算星系两点角相关函数$ω(θ)$在薄的红移壳层使用光谱红移星系调查。这种方法的优点是，它不需要假设一个基准宇宙学，以便将测量的角位置和红移转换为距离，并且它给出了几个（不太精确的）角直径距离$D_\rm{A}(z)$的测量，而不是只有一个（更精确的）有效平均距离$D_\rm{V}(z)$的测量，这导致对宇宙膨胀历史的更好的约束。我们测试我们的模型$ω(θ)$和它的协方差矩阵对一组模拟星系目录，并表明这种技术是能够提取无偏宇宙学约束。同时，在假设由普朗克卫星的宇宙微波背景测量得到的最佳拟合$Λ$ CDM宇宙学的基础上，我们结合普朗克理论，对三个平坦宇宙学模型的最终重子振荡谱学巡天星表进行了预测，并将它们与后实验中各向同性重子声学振荡（BAO）测量的预期结果进行了比较，在同一个星系目录上结合普朗克进行重建。虽然BAO对于约束标准$Λ$ CDM模型的宇宙学参数更准确，但当我们允许暗能量状态方程$w_{DE}$偏离$-1$时，层析成像技术给出了更好的结果，导致在$w_{DE}$的恒定值的情况下与BAO类似的性能，以及在$w_{DE}$的时间依赖值的情况下的适度改善，将$w_0-w_a$平面中的品质因数的值增加到$15\%$。
英文摘要：
We test the cosmological implications of studying galaxy clustering using a tomographic approach, by computing the galaxy two-point angular correlation function $ω(θ)$ in thin redshift shells using a spectroscopic-redshift galaxy survey. The advantages of this procedure are that it is not necessary to assume a fiducial cosmology in order to convert measured angular positions and redshifts into distances, and that it gives several (less accurate) measurements of the angular diameter distance $D_\rm{A}(z)$ instead of only one (more precise) measurement of the effective average distance $D_\rm{V}(z)$, which results in better constraints on the expansion history of the Universe. We test our model for $ω(θ)$ and its covariance matrix against a set of mock galaxy catalogues and show that this technique is able to extract unbiased cosmological constraints. Also, assuming the best-fit $Λ$CDM cosmology from the cosmic microwave background measurements from the Planck satellite, we forecast the result of applying this tomographic approach to the final Baryon Oscillation Spectroscopic Survey catalogue in combination with Planck for three flat cosmological models, and compare them with the expected results of the isotropic baryon acoustic oscillation (BAO) measurements post-reconstruction on the same galaxy catalogue combined with Planck. While BAOs are more accurate for constraining cosmological parameters for the standard $Λ$CDM model, the tomographic technique gives better results when we allow the dark energy equation of state $w_{DE}$ to deviate from $-1$, resulting in a performance similar to BAOs in the case of a constant value of $w_{DE}$, and a moderate improvement in the case of a time-dependent value of $w_{DE}$, increasing the value of the Figure-of-Merit in the $w_0-w_a$ plane up to $15\%$.
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。
