Probing dark energy with cluster counts and cosmic shear power spectra: including the full covariance

Abstract

(Abridged) Combining cosmic shear power spectra and cluster counts is powerful to improve cosmological parameter constraints and/or test inherent systematics. However they probe the same cosmic mass density field, if the two are drawn from the same survey region, and therefore the combination may be less powerful than first thought. We investigate the cross-covariance between the cosmic shear power spectra and the cluster counts based on the halo model approach, where the cross-covariance arises from the three-point correlations of the underlying mass density field. Fully taking into account the cross-covariance as well as non-Gaussian errors on the lensing power spectrum covariance, we find a significant cross-correlation between the lensing power spectrum signals at multipoles l~10^3 and the cluster counts containing halos with masses M>10^{14}Msun. Including the cross-covariance for the combined measurement degrades and in some cases improves the total signal-to-noise ratios up to plus or minus 20% relative to when the two are independent. For cosmological parameter determination, the cross-covariance has a smaller effect as a result of working in a multi-dimensional parameter space, implying that the two observables can be considered independent to a good approximation. We also discuss that cluster count experiments using lensing-selected mass peaks could be more complementary to cosmic shear tomography than mass-selected cluster counts of the corresponding mass threshold. Using lensing selected clusters with a realistic usable detection threshold (S/N~6 for a ground-based survey), the uncertainty on each dark energy parameter may be roughly halved by the combined experiments, relative to using the power spectra alone.

arXiv comment32 pages, 15 figures. Revised version, invited original contribution to gravitational lensing focus issue, New Journal of Physics

References in corpus (65)

• A Universal Density Profile from Hierarchical Clustering
• Large scale bias and the peak background split
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Weak Gravitational Lensing
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Stable clustering, the halo model and nonlinear cosmological power spectra
• Halo Models of Large Scale Structure
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• An analytic model for the spatial clustering of dark matter haloes
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
• Cosmology with the Sunyaev-Zel'dovich Effect
• Power Spectra for Cold Dark Matter and its Variants
• How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
• Detection of weak gravitational lensing distortions of distant galaxies by cosmic dark matter at large scales
• Intrinsic alignment-lensing interference as a contaminant of cosmic shear
• Detection of Weak Gravitational Lensing by Large-scale Structure
• Cross-correlation Tomography: Measuring Dark Energy Evolution with Weak Lensing
• Probing the Universe with Weak Lensing
• Sample Variance Considerations for Cluster Surveys
• Constraints on Cosmological Parameters from Future Galaxy Cluster Surveys
• Weak Lensing of the CMB: A Harmonic Approach
• Power Spectrum Tomography with Weak Lensing
• Systematic Errors in Future Weak Lensing Surveys: Requirements and Prospects for Self-Calibration
• Cosmological parameters from lensing power spectrum and bispectrum tomography
• The Red-Sequence Cluster Survey I: The Survey and Cluster Catalogs for Patches RCS0926+37 and RCS1327+29
• Cosmic Complementarity: Joint Parameter Estimation from CMB Experiments and Redshift Surveys
• Cosmic Structure Growth and Dark Energy
• Effect of Photometric Redshift Uncertainties on Weak Lensing Tomography
• First cosmic shear results from the Canada-France-Hawaii Telescope Wide Synoptic Legacy Survey
• Joint Galaxy-Lensing Observables and the Dark Energy
• Power Spectrum Correlations Induced by Non-Linear Clustering
• Weak Lensing and Dark Energy
• Redshifting Rings of Power
• Self Calibration in Cluster Studies of Dark Energy: Combining the Cluster Redshift Distribution, the Power Spectrum and Mass Measurements
• The Three-Point Correlation Function in Cosmology
• Power Spectrum Covariance of Weak Gravitational Lensing
• Calibrating the Nonlinear Matter Power Spectrum: Requirements for Future Weak Lensing Surveys
• Searching for massive clusters in weak lensing surveys
• First Results On Shear-Selected Clusters From the Deep Lens Survey: Optical Imaging, Spectroscopy, and X-ray Followup
• Three-Point Correlations in Weak Lensing Surveys: Model Predictions and Applications
• Constraints on the fluctuation amplitude and density parameter from X-ray cluster number counts
• Self-Calibration of Cluster Dark Energy Studies: Counts in Cells
• Weak Gravitational Flexion
• Ellipticity of dark matter halos with galaxy-galaxy weak lensing
• Dark Energy Constraints from the CTIO Lensing Survey
• Constraining dark energy with Sunyaev-Zel'dovich cluster surveys
• Cosmology with High-redshift Galaxy Survey: Neutrino Mass and Inflation
• Completeness in Weak Lensing Searches for Clusters
• Constraining the Evolution of Dark Energy with a Combination of Galaxy Cluster Observables
• Self-Consistency and Calibration of Cluster Number Count Surveys for Dark Energy
• Power Spectra Estimation for Weak Lensing
• Cosmological parameters from combined second- and third-order aperture mass statistics of cosmic shear
• Searching for dark matter halos in the Suprime-Cam 2 sq deg field
• Tracking quintessence by cosmic shear - Constraints from VIRMOS-Descart and CFHTLS and future prospects
• A New Measure for Weak Lensing Flexion
• Information content in the halo-model dark-matter power spectrum
• Can a galaxy redshift survey measure dark energy clustering?
• Dark energy constraints from lensing-detected galaxy clusters
• The nonlinear matter power spectrum
• Information content in the halo-model dark-matter power spectrum II: Multiple cosmological parameters
• Weighing the Universe with Photometric Redshift Surveys and the Impact on Dark Energy Forecasts
• Illuminating Dark Energy with Cosmic Shear

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• Primordial density perturbations with running spectral index: impact on non-linear cosmic structures
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• Testing for gravitational preferred directions with galaxy and lensing surveys
• Breaking degeneracies with the Sunyaev-Zeldovich full bispectrum
• Dark energy constraints and correlations with systematics from CFHTLS weak lensing, SNLS supernovae Ia and WMAP5
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