论文标题
用大规模结构的Minkowski功能探测大量中微子
Probing massive neutrinos with the Minkowski functionals of large-scale structure
论文作者
论文摘要
大量中微子在自由流量表下抑制结构的生长。在小规模上，这种效果最为突出，其中广泛使用的两点统计信息无法再捕获完整的信息。在这项工作中，我们研究了大规模中微子假期（LSS）的签名，如其形态学特性所揭示的那样，这些特性由$ 4 $ Minkowski功能（MFS）完全描述，并使用公共可用的N-body n-Body Simulatucts量化了MFS的总和中性中性质量$M_ν$的约束。我们发现MFS提供了重要的互补信息，并且对$M_ν$的限制比电源谱比电源谱更严格。 Specifically, depending on whether massive neutrinos are included in the density field (the `m' field) or not (the `cb' field), we find the constraint on $M_ν$ from the MFs with a smoothing scale of $R_G=5 h^{-1}$Mpc is $48$ or $4$ times better than that from the power spectrum.当MF与功率谱相结合时，它们可以将$M_ν$的约束从后者提高63倍，而“ M”字段为5倍。值得注意的是，当使用“ M”字段时，从MFS上对$M_ν$的限制可以达到$ 0.0177 $ eV的$ 1（H^{ - 1} \ rm GPC）^3 $，而MFS和功率谱的组合可以使此限制为$ 0.0133 $ ev $4.5σ$4.5σ$4.5σ群众。对于“ M”字段，我们还发现$σ_8$和$M_ν$变性与MFS打破，从而在这项工作中考虑的所有6个宇宙参数都比功率谱相比，对所有6个宇宙学参数产生了更强的限制。
Massive neutrinos suppress the growth of structure under their free-streaming scales. The effect is most prominent on small scales where the widely-used two-point statistics can no longer capture the full information. In this work, we study the signatures massive neutrinos leave on large-scale structure (LSS) as revealed by its morphological properties, which are fully described by $4$ Minkowski functionals (MFs), and quantify the constraints on the summed neutrino mass $M_ν$ from the MFs, by using publicly available N-body simulations. We find the MFs provide important complementary information, and give tighter constraints on $M_ν$ than the power spectrum. Specifically, depending on whether massive neutrinos are included in the density field (the `m' field) or not (the `cb' field), we find the constraint on $M_ν$ from the MFs with a smoothing scale of $R_G=5 h^{-1}$Mpc is $48$ or $4$ times better than that from the power spectrum. When the MFs are combined with the power spectrum, they can improve the constraint on $M_ν$ from the latter by a factor of 63 for the `m' field and 5 for the `cb' field. Notably, when the `m' field is used, the constraint on $M_ν$ from the MFs can reach $0.0177$eV with a volume of $1(h^{-1}\rm Gpc)^3$, while the combination of the MFs and power spectrum can tighten this constraint to be $0.0133$eV, a $4.5σ$ significance on detecting the minimum sum of the neutrino masses. For the `m' field, we also find the $σ_8$ and $M_ν$ degeneracy is broken with the MFs, leading to stronger constraints on all 6 cosmological parameters considered in this work than the power spectrum.
