Correlations in the Spatial Power Spectrum Inferred from Angular Clustering: Methods and Application to APM

Abstract

We reconsider the inference of spatial power spectra from angular clustering data and show how to include correlations in both the angular correlation function and the spatial power spectrum. Inclusion of the full covariance matrices loosens the constraints on large-scale structure inferred from the APM survey by over a factor of two. We present a new inversion technique based on singular value decomposition that allows one to propagate the covariance matrix on the angular correlation function through to that of the spatial power spectrum and to reconstruct smooth power spectra without underestimating the errors. Within a parameter space of the CDM shape Gamma and the amplitude sigma_8, we find that the angular correlations in the APM survey constrain Gamma to be 0.19-0.37 at 68% confidence when fit to scales larger than k=0.2h Mpc^-1. A downturn in power at k<0.04h Mpc^-1 is significant at only 1-sigma. These results are optimistic as we include only Gaussian statistical errors and neglect any boundary effects.

37 pages, LaTex, 9 figures. Submitted to ApJ

Cited by in corpus (57)

• Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• The Clustering of Luminous Red Galaxies in the Sloan Digital Sky Survey Imaging Data
• Joint Galaxy-Lensing Observables and the Dark Energy
• Power Spectrum Covariance of Weak Gravitational Lensing
• Cosmic Shear Statistics and Cosmology
• Red Galaxy Growth and the Halo Occupation Distribution
• Power spectrum normalization from the local abundance of rich clusters of galaxies
• The 3D Power Spectrum from Angular Clustering of Galaxies in Early SDSS Data
• Cosmic shear statistics in the Suprime-Cam 2.1 sq deg field: Constraints on Omega_m and sigma_8
• Cosmological constraints from BOSS with analytic covariance matrices
• The Impact of Galaxy Formation on the X-ray Evolution of Clusters
• Error analysis in cross-correlation of sky maps: application to the ISW detection
• Dark Energy Constraints from Galaxy Cluster Peculiar Velocities
• The 3-point function in large scale structure: redshift distortions and galaxy bias
• The Real Space Power Spectrum of the PSCz Survey from 0.01 to 300 h/Mpc
• The Angular Power Spectrum of Galaxies from Early SDSS Data
• Constraints on gravity and dark energy from the pairwise kinematic Sunyaev-Zeldovich effect
• KL Estimation of the Power Spectrum Parameters from the Angular Distribution of Galaxies in Early SDSS Data
• Fewer Mocks and Less Noise: Reducing the Dimensionality of Cosmological Observables with Subspace Projections
• Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space
• Tests of redshift-space distortions models in configuration space for the analysis of the BOSS final data release
• Clustering of Dust-Obscured Galaxies at z ~ 2
• The Galaxy Angular Correlation Functions and Power Spectrum from the Two Micron All Sky Survey
• KiDS+GAMA: Constraints on Horndeski gravity from combined large-scale structure probes
• The three dimensional power spectrum of dark and luminous matter from the VIRMOS-DESCART cosmic shear survey
• Hydrodynamical simulations of the Lyman-Alpha forest: data comparisons
• The Angular Power Spectrum of EDSGC Galaxies
• Red Galaxy Clustering in the NOAO Deep Wide-Field Survey
• Mitigating contamination in LSS surveys: a comparison of methods
• Power spectrum and correlation function errors: Poisson vs. Gaussian shot noise
• The Small-scale Clustering of Luminous Red Galaxies via Cross-Correlation Techniques
• Measuring cosmic velocities with 21cm intensity mapping and galaxy redshift survey cross-correlation dipoles
• Likelihood Non-Gaussianity in Large-Scale Structure Analyses
• The Clustering of Extragalactic Extremely Red Objects
• Towards Accurate Modelling of Galaxy Clustering on Small Scales: Testing the Standard $\Lambda \mathrm{CDM}$ + Halo Model
• Constraints on the Cosmological Relativistic Energy Density
• Cosmological Radio Emission induced by WIMP Dark Matter
• Angular clustering in the SUMSS radio survey
• Cluster correlations in redshift space
• Testing the Halo Model Against the SDSS Photometric Survey
• Deprojecting Densities from Angular Cross-Correlations
• The 2dF QSO Redshift Survey - IV. The QSO Power Spectrum from the 10k Catalogue
• Clustering of the IR Background Light with Spitzer: Contribution from Resolved Sources
• Constraints on Cosmological Parameters from the Lyman-alpha Forest Power Spectrum and COBE-DMR
• Covariance matrices for halo number counts and correlation functions
• The Cosmic Baryon Fraction and the Extragalactic Ionizing Background
• Non-Gaussian Covariance of CMB B-modes of Polarization and Parameter Degradation
• The power spectrum of galaxy clustering in the APM survey
• Weak Lensing of the CMB: Power Spectrum Covariance
• The Clustering and Halo Masses of Star Forming Galaxies at z<1
• The power spectrum from the angular distribution of galaxies in the CFHTLS-Wide fields at redshift ~0.7
• Detecting Baryon Acoustic Oscillations in Dark Matter from Kinematic Weak Lensing Surveys
• Determination of the Linear Mass Power Spectrum From the Mass Function of Galaxy Clusters
• The Angular Correlation Function as measured by the GLEAM-X Survey
• Clustering properties of TGSS radio sources
• Intrinsic alignments of galaxies in multiple projections