Differentiating small-scale subhalo distributions in CDM and WDM models using persistent homology

Abstract

The spatial distribution of galaxies at sufficiently small scales will encode information about the identity of the dark matter. We develop a novel description of the halo distribution using persistent homology summaries, in which collections of points are decomposed into clusters, loops and voids. We apply these methods, together with a set of hypothesis tests, to dark matter haloes in MW-analog environment regions of the cold dark matter (CDM) and warm dark matter (WDM) Copernicus Complexio $N$-body cosmological simulations. The results of the hypothesis tests find statistically significant differences (p-values $\le$ 0.001) between the CDM and WDM structures, and the functional summaries of persistence diagrams detect differences at scales that are distinct from the comparison spatial point process functional summaries considered (including the two-point correlation function). The differences between the models are driven most strongly at filtration scales $\sim 100$~kpc, where CDM generates larger numbers of unconnected halo clusters while WDM instead generates loops. This study was conducted on dark matter haloes generally; future work will involve applying the same methods to realistic galaxy catalogues.

arXiv comment17 pages, 11 figures

References in corpus (41)

• Planck 2013 results. XVI. Cosmological parameters
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Populating a cluster of galaxies - I. Results at z=0
• Dark Matter Search Results from a One Tonne$\times$Year Exposure of XENON1T
• Results from a search for dark matter in the complete LUX exposure
• Small-Scale Challenges to the $\Lambda$CDM Paradigm
• Warm Dark Matter as a solution to the small scale crisis: new constraints from high redshift Lyman-alpha forest data
• The persistent cosmic web and its filamentary structure I: Theory and implementation
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• Searching for Dark Matter Annihilation in Recently Discovered Milky Way Satellites with Fermi-LAT
• The properties of warm dark matter haloes
• The Effects of Photoionization on Galaxy Formation - I: Model and Results at z=0
• Ripser: efficient computation of Vietoris-Rips persistence barcodes
• The persistent cosmic web and its filamentary structure II: Illustrations
• Confidence sets for persistence diagrams
• Large Scale Structure Tests of Warm Dark Matter
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the large-scale two-point correlation function
• A persistence landscapes toolbox for topological statistics
• The velocity width function of galaxies from the 40% ALFALFA survey: shedding light on the cold dark matter overabundance problem
• The chosen few: the low mass halos that host faint galaxies
• Constraining the WDM Particle Mass with Milky Way Satellites
• The COpernicus COmplexio: Statistical Properties of Warm Dark Matter Haloes
• The Topology of the Cosmic Web in Terms of Persistent Betti Numbers
• The Copernicus Complexio: a high-resolution view of the small-scale Universe
• Substructure and galaxy formation in the Copernicus Complexio warm dark matter simulations
• Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals
• The persistence landscape and some of its properties
• Betti numbers of Gaussian fields
• Finding cosmic voids and filament loops using topological data analysis
• The sizes of mini-voids in the local universe: an argument in favor of a warm dark matter model?
• Probabilistic Fréchet Means for Time Varying Persistence Diagrams
• Measuring the topology of reionization with Betti numbers
• Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies
• Nonparametric 3D map of the IGM using the Lyman-alpha forest
• Statistical Analysis of Persistence Intensity Functions
• The spatial distribution of Milky Way satellites, gaps in streams and the nature of dark matter
• Random geometric complexes in the thermodynamic regime
• Large-Scale Structure Topology in Non-Standard Cosmologies: Impact of Dark Sector Physics
• Persistent Betti numbers of random Čech complexes
• On the asymptotic normality of persistent Betti numbers
• Topological Echoes of Primordial Physics in the Universe at Large Scales

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• Homology reveals significant anisotropy in the cosmic microwave background
• Learning from Topology: Cosmological Parameter Estimation from the Large-scale Structure