论文标题
用于多个示踪剂的Fisher Matrix：您可以从大规模结构中学到的一切而无需假设模型
Fisher matrix for multiple tracers: all you can learn from large-scale structure without assuming a model
论文作者
论文摘要
星系功率谱是宇宙学的中心数量之一。它包含有关原始通货膨胀过程，物质聚类，巴属 - photon相互作用，重力的影响，星系偏见的影响，宇宙膨胀，特殊的速度场等。但是，大多数信息都难以提取而不假设特定的宇宙学模型，例如$λ$ CDM和标准的GRAVITY。在本文中，我们探讨了在背景和线性扰动水平上可以获得与宇宙学模型无关的信息。我们确定可以通过将两个红移箱和两个不同的示踪剂组合来构建的全部独立统计数据。我们特别关注统计$ r（k，z_1，z_2）$，定义为两个红移壳的$fσ_8（z）$的比率，我们以Fisher Matrix方法来展示如何估算它。最后，我们预测未来Galaxy调查可以实现的$ R $的约束，并将其与标准的单程结果进行比较。我们发现，根据调查，可以以3％至11％的精度来衡量$ r $。使用两个示踪剂，我们发现约束的改进高达两个。
The galaxy power spectrum is one of the central quantities in cosmology. It contains information about the primordial inflationary process, the matter clustering, the baryon-photon interaction, the effects of gravity, the galaxy-matter bias, the cosmic expansion, the peculiar velocity field, etc.. Most of this information is however difficult to extract without assuming a specific cosmological model, for instance $Λ$CDM and standard gravity. In this paper we explore instead how much information can be obtained that is independent of the cosmological model, both at background and linear perturbation level. We determine the full set of model-independent statistics that can be constructed by combining two redshift bins and two distinct tracers. We focus in particular on the statistics $r(k,z_1,z_2)$, defined as the ratio of $fσ_8(z)$ at two redshift shells, and we show how to estimate it with a Fisher matrix approach. Finally, we forecast the constraints on $r$ that can be achieved by future galaxy surveys, and compare it with the standard single-tracer result. We find that $r$ can be measured with a precision from 3 to 11%, depending on the survey. Using two tracers, we find improvements in the constraints up to a factor of two.
