Cosmology with Persistent Homology: a Fisher Forecast

Autor:	Yip, Jacky H. T., Biagetti, Matteo, Cole, Alex, Viswanathan, Karthik, Shiu, Gary
Rok vydání:	2024
Předmět:	Astrophysics - Cosmology and Nongalactic Astrophysics High Energy Physics - Theory Mathematics - Algebraic Topology
Druh dokumentu:	Working Paper
Popis:	Persistent homology naturally addresses the multi-scale topological characteristics of the large-scale structure as a distribution of clusters, loops, and voids. We apply this tool to the dark matter halo catalogs from the Quijote simulations, and build a summary statistic for comparison with the joint power spectrum and bispectrum statistic regarding their information content on cosmological parameters and primordial non-Gaussianity. Through a Fisher analysis, we find that constraints from persistent homology are tighter for 8 out of the 10 parameters by margins of 13-50%. The complementarity of the two statistics breaks parameter degeneracies, allowing for a further gain in constraining power when combined. We run a series of consistency checks to consolidate our results, and conclude that our findings motivate incorporating persistent homology into inference pipelines for cosmological survey data. Comment: 24+18 pages, 22 figures, 4 tables. Accepted for publication in JCAP. Replaced with the accepted version (minor changes)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.13985 Zobrazit plný text záznamu View this record from Arxiv