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

Abstract

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 $40(Gpc/h{)}^3$, we detect $f_{\mathrm{NL}}^{\mathrm{loc}}=10$ at $97.5\%$ confidence on $\sim 85\%$ of the volumes. Additionally we test our ability to resolve degeneracies between the topological signature of $f_{\mathrm{NL}}^{\mathrm{loc}}$ and variation of ${\sigma }_8$ and argue that correctly identifying nonzero $f_{\mathrm{NL}}^{\mathrm{loc}}$ 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.

33+11 pages, 19 figures, code available at https://gitlab.com/mbiagetti/persistent_homology_lss

References in corpus (15)

• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Transients from Initial Conditions in Cosmological Simulations
• Properties of Dark Matter Haloes in Clusters, Filaments, Sheets and Voids
• ZOBOV: a parameter-free void-finding algorithm
• Non-Gaussianities in two-field inflation
• Robust Topological Inference: Distance To a Measure and Kernel Distance
• Cosmological constraints from BOSS with analytic covariance matrices
• The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: geometry and growth from the anisotropic void-galaxy correlation function in the luminous red galaxy sample
• The Void Abundance with Non-Gaussian Primordial Perturbations
• Primordial Non-Gaussianity
• Can large-scale structure probe CMB-constrained non-Gaussianity?
• Primordial Non-Gaussianity
• Unexpected Topology of the Temperature Fluctuations in the Cosmic Microwave Background

Cited by in corpus (35)

• Is the Observable Universe Consistent with the Cosmological Principle?
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• Quijote-PNG: Simulations of primordial non-Gaussianity and the information content of the matter field power spectrum and bispectrum
• Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies
• Assembly bias in the local PNG halo bias and its implication for $f_{\mathrm{NL}}$ constraints
• The Covariance of Squeezed Bispectrum Configurations
• Complete analysis of the background and anisotropies of scalar-induced gravitational waves: primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ considered
• Persistent homology in cosmic shear II: A tomographic analysis of DES-Y1
• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear dark matter density field
• Light Fields during Inflation from BOSS and Future Galaxy Surveys
• Fisher Forecasts for Primordial non-Gaussianity from Persistent Homology
• Cosmology with Persistent Homology: a Fisher Forecast
• Fitting covariance matrix models to simulations
• Persistent topology of the reionization bubble network. II: Evolution & Classification
• Angular bispectrum and trispectrum of scalar-induced gravitational waves: all contributions from primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$
• The evolution of cosmic ray electrons in the cosmic web: seeding by AGN, star formation and shocks
• Confinement in non-Abelian lattice gauge theory via persistent homology
• Applications of Persistent Homology in Nuclear Collisions
• Wasserstein distance as a new tool for discriminating cosmologies through the topology of large scale structure
• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear halo density field
• Imprint of massive neutrinos on Persistent Homology of large-scale structure
• Capturing primordial non-Gaussian signatures in the late Universe by multi-scale extrema of the cosmic log-density field
• Anomalies in the topology of the temperature fluctuations in the cosmic microwave background: An analysis of the $\text{NPIPE}$ and $\text{FFP10}$ data releases
• Topological data analysis reveals differences between simulated galaxies and dark matter haloes
• Constraining $f_{NL}$ using the Large-Scale Modulation of Small-Scale Statistics
• Geometric Interpretations of the $k$-Nearest Neighbour Distributions
• Reviews: Topological Distances and Losses for Brain Networks
• Topological Echoes of Primordial Physics in the Universe at Large Scales
• Homology reveals significant anisotropy in the cosmic microwave background
• Cosmology with Persistent Homology: Parameter Inference via Machine Learning
• Impact of Redshift Space Distortion on Persistent Homology of cosmic matter density field
• Identifying weak critical fluctuations of intermittency in heavy-ion collisions with topological machine learning
• Learning from Topology: Cosmological Parameter Estimation from the Large-scale Structure
• Detecting and analysing the topology of the cosmic web with spatial clustering algorithms I: Methods
• Quijote PNG: The information content of the halo power spectrum and bispectrum