Imprint of massive neutrinos on Persistent Homology of large-scale structure

• Published in: arXiv.org 2024-10
• Main Authors: Jalali Kanafi, M H, Ansarifard, S, Movahed, S M S
• Format: Article
• Language: English
• Subjects: Cold dark matter; Confidence intervals; Constraint modelling; Density; Homology; Large scale structure of the universe; Neutrinos; Red shift; Simulation; Thresholds; Topology
• ISSN: 2331-8422

Exploiting the Persistent Homology technique and its complementary representations, we examine the footprint of summed neutrino mass (\(M_{\nu}\)) in the various density fields simulated by the publicly available Quijote suite. The evolution of topological features by utilizing the super-level filtration on three-dimensional density fields at zero redshift, reveals a remarkable benchmark for constraining the cosmological parameters, particularly \(M_{\nu}\) and \(\sigma_8\). The abundance of independent closed surfaces (voids) compared to the connected components (clusters) and independent loops (filaments), is more sensitive to the presence of \(M_{\nu}\) for \(R=5\) Mpc \(h^{-1}\) irrespective of whether using the total matter density field (\(m\)) or CDM+baryons field (\(cb\)). Reducing the degeneracy between \(M_{\nu}\) and \(\sigma_8\) is achieved via Persistent Homology for the \(m\) field but not for the \(cb\) field. The uncertainty of \(M_{\nu}\) at \(1\sigma\) confidence interval from the joint analysis of Persistent Homology vectorization for the \(m\) and \(cb\) fields smoothed by \(R=5\) Mpc \(h^{-1}\) at \(z=0\) reaches \(0.0152\) eV and \(0.1242\) eV, respectively. Noticing the use of the 3-dimensional underlying density field at \(z=0\), the mentioned uncertainties can be treated as the theoretical lower limits.