Cosmological Information in Skew Spectra of Biased Tracers in Redshift Space

Abstract

Extracting the non-Gaussian information encoded in the higher-order clustering statistics of the large-scale structure is key to fully realizing the potential of upcoming galaxy surveys. We investigate the information content of the redshift-space {\it weighted skew spectra} of biased tracers as efficient estimators for 3-point clustering statistics. The skew spectra are constructed by correlating the observed galaxy field with an appropriately-weighted square of it. We perform numerical Fisher forecasts using two synthetic datasets; the halo catalogs from the Quijote N-body simulations and the galaxy catalogs from the Molino suite. The latter serves to understand the effect of marginalization over a more complex matter-tracer biasing relation. Compared to the power spectrum multipoles, we show that the skew spectra substantially improve the constraints on six parameters of the $\nu \Lambda$CDM model, $\{{\Omega }_m,{\Omega }_b,h,n_s,{\sigma }_8,M_{\nu }\}$. Imposing a small-scale cutoff of $k_{\max }=0.25{\mathrm{Mpc}}^{-1}h$, the improvements from skew spectra alone range from 23% to 62% for the Quijote halos and from 32% to 71% for the Molino galaxies. Compared to the previous analysis of the bispectrum monopole on the same data and using the same range of scales, the skew spectra of Quijote halos provide competitive constraints. Conversely, the skew spectra outperform the bispectrum monopole for all cosmological parameters for the Molino catalogs. This may result from additional anisotropic information, particularly enhanced in the Molino sample, that is captured by the skew spectra but not by the bispectrum monopole. Our stability analysis of the numerical derivatives shows comparable convergence rates for the power spectrum and the skew spectra, indicating potential underestimation of parameter uncertainties by at most 30%.

arXiv comment43 pages, 25 figures

References in corpus (66)

• A Universal Density Profile from Hierarchical Clustering
• The cosmological simulation code GADGET-2
• Cosmology and Fundamental Physics with the Euclid Satellite
• Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• Large-Scale Galaxy Bias
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
• Measuring cosmological parameters with galaxy surveys
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• The Quijote simulations
• Measuring primordial non-Gaussianity in the cosmic microwave background
• nbodykit: an open-source, massively parallel toolkit for large-scale structure
• Fast Estimators for Redshift-Space Clustering
• The Effect of Covariance Estimator Error on Cosmological Parameter Constraints
• Putting the Precision in Precision Cosmology: How accurate should your data covariance matrix be?
• Cosmology with the SPHEREX All-Sky Spectral Survey
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• The High Latitude Spectroscopic Survey on the Nancy Grace Roman Space Telescope
• Constraints on Multi-Field Inflation from the BOSS Galaxy Survey
• Probing Parity-Violation with the Four-Point Correlation Function of BOSS Galaxies
• Information content of weak lensing power spectrum and bispectrum: including the non-Gaussian error covariance matrix
• Towards an Optimal Estimation of Cosmological Parameters with the Wavelet Scattering Transform
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Constraints on Single-Field Inflation from the BOSS Galaxy Survey
• Using the Marked Power Spectrum to Detect the Signature of Neutrinos in Large-Scale Structure
• Assessment of the Information Content of the Power Spectrum and Bispectrum
• Beyond the plane-parallel approximation for redshift surveys
• A marked correlation function for constraining modified gravity models
• Cubic Halo Bias in Eulerian and Lagrangian Space
• Precision analysis of the redshift-space galaxy bispectrum
• A complete FFT-based decomposition formalism for the redshift-space bispectrum
• A New Approach to Probing Primordial Non-Gaussianity
• Near optimal bispectrum estimators for large-scale structure
• Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• Fewer Mocks and Less Noise: Reducing the Dimensionality of Cosmological Observables with Subspace Projections
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Going Beyond the Galaxy Power Spectrum: an Analysis of BOSS Data with Wavelet Scattering Transforms
• Rapid Separable Analysis of Higher Order Correlators in Large Scale Structure
• Impact of the non-Gaussian covariance of the weak lensing power spectrum and bispectrum on cosmological parameter estimation
• Cosmological Information in the Marked Power Spectrum of the Galaxy Field
• Capturing Non-Gaussianity of the Large-Scale Structure with Weighted Skew-Spectra
• Towards optimal cosmological parameter recovery from compressed bispectrum statistics
• Fast Estimation of Gravitational and Primordial Bispectra in Large Scale Structures
• Non-linear shrinkage estimation of large-scale structure covariance
• Bispectrum-window convolution via Hankel transform
• Cosmology and neutrino mass with the Minimum Spanning Tree
• Cosmology with cosmic web environments I. Real-space power spectra
• On the information content of the matter power spectrum
• What Can We Learn by Combining the Skew Spectrum and the Power Spectrum?
• CARPool Covariance: Fast, unbiased covariance estimation for large-scale structure observables
• Wavelet Moments for Cosmological Parameter Estimation
• Three-point phase correlations: A new measure of non-linear large-scale structure
• A First Detection of the Connected 4-Point Correlation Function of Galaxies Using the BOSS CMASS Sample
• A Bayesian method for combining theoretical and simulated covariance matrices for large-scale structure surveys
• The Anisotropic Line Correlation Function as a Probe of Anisotropies in Galaxy Surveys
• Cosmology with Phase Statistics: Parameter Forecasts and Detectability of BAO
• Galaxy Skew-Spectra in Redshift-Space
• Integrated trispectrum detection from BOSS DR12 NGC CMASS
• Reconstruction of halo power spectrum from redshift-space galaxy distribution: cylinder-grouping method and halo exclusion effect
• Weak Lensing Skew-Spectrum
• Position-dependent power spectrum: a new observable in the large-scale structure
• Skewing the CMB$\times$LSS: a Fast Method for Bispectrum Analysis
• Weak Lensing Trispectrum and Kurt-Spectra
• The large-scale Gravitational Bias from the Quasilinear Regime

Cited by in corpus (10)

• Precise Cosmological Constraints from BOSS Galaxy Clustering with a Simulation-Based Emulator of the Wavelet Scattering Transform
• Galaxy Clustering Analysis with SimBIG and the Wavelet Scattering Transform
• $\mathrm{S}\mathrm{IM}\mathrm{BIG}$: Mock Challenge for a Forward Modeling Approach to Galaxy Clustering
• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• Probing massive neutrinos with the Minkowski functionals of the galaxy distribution
• Cosmology with Persistent Homology: a Fisher Forecast
• Towards unveiling the large-scale nature of gravity with the wavelet scattering transform
• The Compressed 3D Lyman-Alpha Forest Bispectrum
• Mitigating Model Misspecification in Simulation-Based Inference for Galaxy Clustering
• Skew-spectra: a generalization to spin-$s$