Detecting Neutrino Mass by Combining Matter Clustering, Halos, and Voids

Abstract

We quantify the information content of the non-linear matter power spectrum, the halo mass function, and the void size function, using the Quijote $N$-body simulations. We find that these three statistics exhibit very different degeneracies amongst the cosmological parameters, and thus the combination of all three probes enables the breaking of degeneracies, in turn yielding remarkably tight constraints. We perform a Fisher analysis using the full covariance matrix, including all auto- and cross-correlations, finding that this increases the information content for neutrino mass compared to a correlation-free analysis. The multiplicative improvement of the constraints on the cosmological parameters obtained by combining all three probes compared to using the power spectrum alone are: 137, 5, 8, 20, 10, and 43, for ${\Omega }_m$, ${\Omega }_b$, $h$, $n_s$, ${\sigma }_8$, and $M_{\nu }$, respectively. The marginalized error on the sum of the neutrino masses is $\sigma (M_{\nu })=0.018\mathrm{eV}$ for a cosmological volume of $1(h^{-1}\mathrm{Gpc}{)}^3$, using $k_{\max }=0.5h{\mathrm{Mpc}}^{-1}$, and without CMB priors. We note that this error is an underestimate insomuch as we do not consider super-sample covariance, baryonic effects, and realistic survey noises and systematics. On the other hand, it is an overestimate insomuch as our cuts and binning are suboptimal due to restrictions imposed by the simulation resolution. Given upcoming galaxy surveys will observe volumes spanning $\sim 100(h^{-1}\mathrm{Gpc}{)}^3$, this presents a promising new avenue to measure neutrino mass without being restricted by the need for accurate knowledge of the optical depth, which is required for CMB-based measurements. Furthermore, the improved constraints on other cosmological parameters, notably ${\Omega }_m$, may also be competitive with CMB-based measurements.

11+5 pages, 10 figures, 2 tables

References in corpus (40)

• Observation of electron-antineutrino disappearance at Daya Bay
• Measurement of Neutrino Oscillation by the K2K Experiment
• Assembly bias in the clustering of dark matter haloes
• CMB-S4 Science Book, First Edition
• The CAMELS project: Cosmology and Astrophysics with MachinE Learning Simulations
• Cosmology and the Bispectrum
• The darkness that shaped the void: dark energy and cosmic voids
• On model selection forecasting, Dark Energy and modified gravity
• Impact of massive neutrinos on nonlinear matter power spectrum
• KiDS-450: Cosmological Constraints from Weak Lensing Peak Statistics - II: Inference from Shear Peaks using N-body Simulations
• Simulating nonlinear cosmological structure formation with massive neutrinos
• Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• KiDS-450: Cosmological Constraints from Weak Lensing Peak Statistics-I: Inference from Analytical Prediction of High Signal-to-Noise Ratio Convergence Peaks
• Nearest Neighbor distributions: new statistical measures for cosmological clustering
• Using the Marked Power Spectrum to Detect the Signature of Neutrinos in Large-Scale Structure
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster Abundances, Weak Lensing, and Galaxy Correlations
• Cosmological Constraints From Weak Lensing Peak Statistics With CFHT Stripe 82 Survey
• On the assumption of Gaussianity for cosmological two-point statistics and parameter dependent covariance matrices
• New Interpretable Statistics for Large Scale Structure Analysis and Generation
• Physical effects involved in the measurements of neutrino masses with future cosmological data
• Massive Neutrinos in Cosmology: Analytic Solutions and Fluid Approximation
• Cosmic Shear Cosmology Beyond 2-Point Statistics: A Combined Peak Count and Correlation Function Analysis of DES-Y1
• Alignments of Voids in the Cosmic Web
• DEMNUni: ISW, Rees-Sciama, and weak-lensing in the presence of massive neutrinos
• Relativistic N-body simulations with massive neutrinos
• CARPool: fast, accurate computation of large-scale structure statistics by pairing costly and cheap cosmological simulations
• Matter trispectrum: theoretical modelling and comparison to N-body simulations
• The Effective Field Theory of Large-Scale Structure in the presence of Massive Neutrinos
• A Lagrangian Perturbation Theory in the presence of massive neutrinos
• Joint likelihood function of cluster counts and $n$-point correlation functions: Improving their power through including halo sample variance
• A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos
• The nature of assembly bias - II. Halo spin
• How baryons can significantly bias cluster count cosmology
• Constraining cosmology with weak lensing voids
• Dependence of halo bias on mass and environment
• Information escaping the correlation hierarchy of the convergence field in the study of cosmological parameters
• What Can We Learn by Combining the Skew Spectrum and the Power Spectrum?
• The cosmic neutrino background as a collection of fluids in large-scale structure simulations
• Experimental tests of sub-surface reflectors as an explanation for the ANITA anomalous events

Cited by in corpus (56)

• The High Latitude Spectroscopic Survey on the Nancy Grace Roman Space Telescope
• The GIGANTES dataset: precision cosmology from voids in the machine learning era
• Euclid: Forecasts from redshift-space distortions and the Alcock-Paczynski test with cosmic voids
• Cosmological constraints from the BOSS DR12 void size function
• Learning cosmology and clustering with cosmic graphs
• Cosmological Information in the Marked Power Spectrum of the Galaxy Field
• Cosmology with one galaxy?
• Reconstruction of the neutrino mass as a function of redshift
• Neutrino Properties with Ground-Based Millimeter-Wavelength Line Intensity Mapping
• Updating non-standard neutrinos properties with Planck-CMB data and full-shape analysis of BOSS and eBOSS galaxies
• Beware of Fake $\nu$s: The Effect of Massive Neutrinos on the Nonlinear Evolution of Cosmic Structure
• Precise Cosmological Constraints from BOSS Galaxy Clustering with a Simulation-Based Emulator of the Wavelet Scattering Transform
• Cosmology with cosmic web environments I. Real-space power spectra
• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• Why Cosmic Voids Matter: Nonlinear Structure & Linear Dynamics
• DEMNUni: disentangling dark energy from massive neutrinos with the void size function
• DEMNUni: The imprint of massive neutrinos on the cross-correlation between cosmic voids and CMB lensing
• The halo bias inside cosmic voids
• Exploring the cosmological synergy between galaxy cluster and cosmic void number counts
• The DESI $N$-body Simulation Project -- II. Suppressing sample variance with fast simulations
• Euclid: Cosmology forecasts from the void-galaxy cross-correlation function with reconstruction
• Joint velocity and density reconstruction of the Universe with nonlinear differentiable forward modeling
• Cosmological constraints on the Multi Scalar Field Dark Matter model
• Probing massive neutrinos with the Minkowski functionals of large-scale structure
• Effects of Baryonic Feedback on the Cosmic Web
• Super-sample covariance of the power spectrum, bispectrum, halos, voids, and their cross covariances
• Quijote-PNG: The Information Content of the Halo Mass Function
• Quantification of high dimensional non-Gaussianities and its implication to Fisher analysis in cosmology
• Machine-learning cosmology from void properties
• Cosmology with the kinetic Sunyaev-Zeldovich effect: Independent of the optical depth and ${\sigma }_8$
• Towards unveiling the large-scale nature of gravity with the wavelet scattering transform
• Challenges in Constraining Gravity with Cosmic Voids
• Improving initialization and evolution accuracy of cosmological neutrino simulations
• Cosmology with cosmic web environments II. Redshift-space auto and cross power spectra
• Imprint of massive neutrinos on Persistent Homology of large-scale structure
• Hitting the mark: Optimising Marked Power Spectra for Cosmology
• Unveiling the Universe with Emerging Cosmological Probes
• Significance of void shape: Neutrino mass from Voronoi void halos?
• Weak-lensing tunnel voids in simulated light cones: A new pipeline to investigate modified gravity and massive neutrinos signatures
• Inpainting hydrodynamical maps with deep learning
• Cosmological inference including massive neutrinos from the matter power spectrum: biases induced by uncertainties in the covariance matrix
• The galaxy bias profile of cosmic voids
• Cosmology from Point Clouds with Dark Matter Halos from the Quijote Simulations
• Massive $\nu$s through the CNN lens: interpreting the field-level neutrino mass information in weak lensing
• Signature of Massive Neutrinos from the Clustering of Critical Points. I. Density-threshold-based Analysis in Configuration Space
• Measuring neutrino mass and asymmetry with matter pairwise velocities
• Cosmology with voids from the Nancy Grace Roman Space Telescope
• The Power of the Cosmic Web
• A spherical hydrodynamical model of cosmic voids in ΛCDM and beyond
• Cosmological Constraints with Void Lensing I: the Simulation-Based Inference Framework
• Cosmology with Cosmic Voids
• Cosmology with Topological Deep Learning
• Bending the web: exploring the impact of modified gravity on the density field and halo properties within the cosmic web
• Interpreting Cosmological Information from Neural Networks in the Hydrodynamic Universe
• Ringing the universe with cosmic emptiness: void properties through a combined analysis of stacked weak gravitational and Doppler lensing
• A revisited Correction to the Halo Mass Function for local-type Primordial non-Gaussianity