Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum

Abstract

Massive neutrinos suppress the growth of structure on small scales and leave an imprint on large-scale structure that can be measured to constrain their total mass, $M_{\nu }$. With standard analyses of two-point clustering statistics, $M_{\nu }$ constraints are severely limited by parameter degeneracies. Hahn et al.(2020) demonstrated that the bispectrum, the next higher-order statistic, can break these degeneracies and dramatically improve constraints on $M_{\nu }$ and other cosmological parameters. In this paper, we present the constraining power of the redshift-space galaxy bispectrum, $B_0^g$. We construct the Molino suite of 75,000 mock galaxy catalogs from the Quijote $N$-body simulations using the halo occupation distribution (HOD) model, which provides a galaxy bias framework well-suited for simulation-based approaches. Using these mocks, we present Fisher matrix forecasts for $\{{\Omega }_m,{\Omega }_b,h,n_s,{\sigma }_8,M_{\nu }\}$ and quantify, for the first time, the total information content of $B_0^g$ down to nonlinear scales. For $k_{\max }=0.5h/Mpc$, $B_0^g$ improves constraints on ${\Omega }_m,{\Omega }_b,h,n_s,{\sigma }_8$, and $M_{\nu }$ by 2.8, 3.1, 3.8, 4.2, 4.2, and $4.6\times$ over the power spectrum, after marginalizing over HOD parameters. Even with priors from $Planck$, $B_0^g$ improves all of the cosmological constraints by $\gtrsim 2\times$. In fact, for $P_{\ell }^g$ and $B_0^g$ out to $k_{\max }=0.5h/Mpc$ with $Planck$ priors, we achieve a $1\sigma$ $M_{\nu }$ constraint of 0.048 eV, which is tighter than the current best cosmological constraint. While effects such as survey geometry and assembly bias will have an impact, these constraints are derived for $(1h^{-1}\mathrm{Gpc}{)}^3$, a substantially smaller volume than upcoming surveys. Therefore, we conclude that the galaxy bispectrum will significantly improve cosmological constraints for upcoming galaxy surveys -- especially for $M_{\nu }$.

24 pages, 4 figures, the Molino catalog is publicly available at https://changhoonhahn.github.io/molino/

References in corpus (28)

• Introducing the Illustris Project: Simulating the coevolution of dark and visible matter in the Universe
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
• Neutrino oscillations refitted
• Effects of Baryons and Dissipation on the Matter Power Spectrum
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• CMB-S4 Science Book, First Edition
• Cosmology and the Bispectrum
• The relation between velocity dispersion and mass in simulated clusters of galaxies: dependence on the tracer and the baryonic physics
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• Neutrino mass from Cosmology
• The Effect of Thermal Neutrino Motion on the Non-linear Cosmological Matter Power Spectrum
• Impact of massive neutrinos on nonlinear matter power spectrum
• Evolution in the Halo Masses of Isolated Galaxies between z~1 and z~0: From DEEP2 to SDSS
• Neutrino cosmology and Planck
• Velocity Bias from the Small Scale Clustering of SDSS-III BOSS Galaxies
• Simulating nonlinear cosmological structure formation with massive neutrinos
• Baryons, Neutrinos, Feedback and Weak Gravitational Lensing
• Nonlinear power spectrum in the presence of massive neutrinos: perturbation theory approach, galaxy bias and parameter forecasts
• On the assumption of Gaussianity for cosmological two-point statistics and parameter dependent covariance matrices
• Physical effects involved in the measurements of neutrino masses with future cosmological data
• Relativistic N-body simulations with massive neutrinos
• Information Content of the Angular Multipoles of Redshift-Space Galaxy Bispectrum
• Maximal compression of the redshift space galaxy power spectrum and bispectrum
• Towards optimal cosmological parameter recovery from compressed bispectrum statistics
• Geometrical compression: a new method to enhance the BOSS galaxy bispectrum monopole constraints
• Constraining Star Formation Histories of Blue Galaxies using the Scatter between Stellar Mass and Halo Mass

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• Wavelet Moments for Cosmological Parameter Estimation
• Inferring Cosmological Parameters on SDSS via Domain-Generalized Neural Networks and Lightcone Simulations
• Signature of Massive Neutrinos from the Clustering of Critical Points. I. Density-threshold-based Analysis in Configuration Space
• The imprints of massive neutrinos on the three-point correlation function of large-scale structures
• Cosmology with Topological Deep Learning
• Redshift-space galaxy bispectrum in presence of massive neutrinos: A multipole expansion approach for Euclid
• Mitigating Model Misspecification in Simulation-Based Inference for Galaxy Clustering
• Void probability function in the Quijote simulations
• nuGAN: Generative Adversarial Emulator for Cosmic Web with Neutrinos
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