arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2009.04819astro-ph.COhep-thmath.AT
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大尺度结构的持久性I:原初非高斯性

The Persistence of Large Scale Structures I: Primordial non-Gaussianity

Matteo Biagetti, Alex Cole, Gary Shiu

摘要:

我们开发了一个分析管道,用于表征大尺度结构的拓扑结构,并基于持久同源性提取宇宙学约束。持久同源性是一种拓扑数据分析技术,它量化了数据集的多尺度拓扑结构,在我们的上下文中,统一了星系团、细丝环和宇宙空洞对宇宙学约束的贡献。我们描述了这种方法如何捕获的印记原始本地非高斯晚时间分布的暗物质晕,使用一组N体模拟作为代理真实的数据分析。对于我们最好的单个统计量,在几个大小为$40~(\rm{Gpc/h})^{3}$的立方卷上运行管道,我们在卷的$\sim 85\%$上的$97.5\%$置信度下检测$f_{\rm NL}^{\rm loc}=10$。此外,我们测试我们的能力,以解决退化之间的拓扑签名的$f_{\rm NL}^{\rm loc}$和$σ_8$的变化,并认为正确识别非零$f_{\rm NL}^{\rm loc}$在这种情况下是可能的,通过最佳模板方法。我们的方法依赖于信息生活在$\mathcal{O}(10)$兆秒/小时,互补的规模相对于常用的方法,如规模依赖的偏见在晕/星系功率谱。因此,虽然仍然需要大体积,但我们的方法不需要对长波长模式进行采样来约束原始非高斯性。此外,我们的统计数据是可解释的:我们能够在一定限度内重现以前的结果,我们对未探索的观测值做出新的预测,例如模拟箱中暗物质晕形成的细丝环。

英文摘要:

We develop an analysis pipeline for characterizing the topology of large scale structure and extracting cosmological constraints based on persistent homology. Persistent homology is a technique from topological data analysis that quantifies the multiscale topology of a data set, in our context unifying the contributions of clusters, filament loops, and cosmic voids to cosmological constraints. We describe how this method captures the imprint of primordial local non-Gaussianity on the late-time distribution of dark matter halos, using a set of N-body simulations as a proxy for real data analysis. For our best single statistic, running the pipeline on several cubic volumes of size $40~(\rm{Gpc/h})^{3}$, we detect $f_{\rm NL}^{\rm loc}=10$ at $97.5\%$ confidence on $\sim 85\%$ of the volumes. Additionally we test our ability to resolve degeneracies between the topological signature of $f_{\rm NL}^{\rm loc}$ and variation of $σ_8$ and argue that correctly identifying nonzero $f_{\rm NL}^{\rm loc}$ in this case is possible via an optimal template method. Our method relies on information living at $\mathcal{O}(10)$ Mpc/h, a complementary scale with respect to commonly used methods such as the scale-dependent bias in the halo/galaxy power spectrum. Therefore, while still requiring a large volume, our method does not require sampling long-wavelength modes to constrain primordial non-Gaussianity. Moreover, our statistics are interpretable: we are able to reproduce previous results in certain limits and we make new predictions for unexplored observables, such as filament loops formed by dark matter halos in a simulation box.

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。

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