中微子引起的偏置不能被纠正
Bias due to neutrinos must not uncorrect'd go
摘要：
在有大质量中微子的宇宙学中，相对于总物质场（冷暗物质、重子和非相对论性中微子）定义的星系偏置依赖于中微子质量之和$M_ν$，甚至在大尺度上也变得依赖于尺度。考虑到当前勘测的敏感性，这种效应通常被忽略，但是对于旨在提供非零$M_ν$的第一检测的未来勘测，这种效应成为严重的系统性。这种效应可以通过定义相对于冷暗物质和重子的密度场而不是总物质场的偏差来校正。在这项工作中，我们提供了一个简单的处方，正确减轻中微子引起的标度依赖的偏置效应，在一个实用的方式。我们澄清了一些微妙之处，关于如何正确地实现这种修正的红移空间扭曲和非线性演化的扰动的存在。我们进行MCMC分析模拟星系聚类数据匹配的预期灵敏度的\textit{Euclid}调查。我们发现，中微子引起的标度依赖的偏见可以导致重要的转变，在推断的平均值的$M_ν$，以及它的不确定性。我们展示了这些位移如何传播到与$M_ν$相关的其他宇宙学参数，如冷暗物质物理密度$Ω_{cdm} h^2$和标量光谱指数$n_s$。总之，我们发现，正确地占中微子引起的标度依赖的偏见将是至关重要的未来星系聚类分析。我们鼓励宇宙学社区使用我们在工作中提出的简单处方正确地解释这种效应。在玻尔兹曼解算器\texttt{CLASS}即将发布的版本中，将公开提供易于校正中微子引起的标度相关偏差所需的工具。
英文摘要：
In cosmologies with massive neutrinos, the galaxy bias defined with respect to the total matter field (cold dark matter, baryons, and non-relativistic neutrinos) depends on the sum of the neutrino masses $M_ν$, and becomes scale-dependent even on large scales. This effect has been usually neglected given the sensitivity of current surveys, but becomes a severe systematic for future surveys aiming to provide the first detection of non-zero $M_ν$. The effect can be corrected for by defining the bias with respect to the density field of cold dark matter and baryons instead of the total matter field. In this work, we provide a simple prescription for correctly mitigating the neutrino-induced scale-dependent bias effect in a practical way. We clarify a number of subtleties regarding how to properly implement this correction in the presence of redshift-space distortions and non-linear evolution of perturbations. We perform a MCMC analysis on simulated galaxy clustering data that match the expected sensitivity of the \textit{Euclid} survey. We find that the neutrino-induced scale-dependent bias can lead to important shifts in both the inferred mean value of $M_ν$, as well as its uncertainty. We show how these shifts propagate to other cosmological parameters correlated with $M_ν$, such as the cold dark matter physical density $Ω_{cdm} h^2$ and the scalar spectral index $n_s$. In conclusion, we find that correctly accounting for the neutrino-induced scale-dependent bias will be of crucial importance for future galaxy clustering analyses. We encourage the cosmology community to correctly account for this effect using the simple prescription we present in our work. The tools necessary to easily correct for the neutrino-induced scale-dependent bias will be made publicly available in an upcoming release of the Boltzmann solver \texttt{CLASS}.
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。
