论文标题
光度法和光谱统计统计的协方差:对宇宙学参数推断的影响
The Covariance of Photometric and Spectroscopic Two-Point Statistics: Implications for Cosmological Parameter Inference
论文作者
论文摘要
为了结合来自具有角度弱透镜,星系聚类和星系 - 盖晶透镜镜头功率谱的光谱数据的红移空间功率谱的信息,从光度测验中(即$ 3 \ $ 3 \ times times times times 2 $ point statistics),我们必须考虑两种概念之间的协方差。目前,两种类型的测量之间的协方差被忽略为现有的光度法和光谱调查,在很大程度上探测了不同的宇宙学量。随着数据来自阶段IV调查的到来,情况将不再是这种情况。在本文中,我们得出了一个分析表达,用于光度法2D角功率光谱与平行平行近似值下高斯磁场的3D红移空间功率谱之间的协方差。我们发现这两个探针在大径向尺度上是协变量的,但是由于这些模式的信息含量由于样品方差极低,因此我们预测,在执行宇宙学参数推断时可以忽略这种协方差。
To combine information from measurements of the redshift-space power spectrum from spectroscopic data with angular weak lensing, galaxy clustering and galaxy-galaxy lensing power spectra from photometric surveys (i.e. the $3 \times 2$ point statistics), we must account for the covariance between the two probes. Currently any covariance between the two types of measurements is neglected as existing photometric and spectroscopic surveys largely probe different cosmological volumes. This will cease to be the case as data arrives from Stage-IV surveys. In this paper we derive an analytic expression for the covariance between photometric 2D angular power spectra and the 3D redshift-space power spectrum for Gaussian fields under the plane-parallel approximation. We find that the two probes are covariant on large radial scales, but because the information content of these modes is extremely low due to sample variance, we forecast that it is safe to neglect this covariance when performing cosmological parameter inference.