Measuring gravitational lensing of the cosmic microwave background using cross correlation with large scale structure

Abstract

We cross correlate the gravitational lensing map extracted from cosmic microwave background measurements by the Wilkinson Microwave Anisotropy Probe (WMAP) with the radio galaxy distribution from the NRAO VLA Sky Survey (NVSS) by using a quadratic estimator technique. We use the full covariance matrix to filter the data, and calculate the cross-power spectra for the lensing-galaxy correlation. We explore the impact of changing the values of cosmological parameters on the lensing reconstruction, and obtain statistical detection significances at $>3\sigma$. The results of all cross correlations pass the curl null test as well as a complementary diagnostic test using the NVSS data in equatorial coordinates. We forecast the potential for Planck and NVSS to constrain the lensing-galaxy cross correlation as well as the galaxy bias. The lensing-galaxy cross-power spectra are found to be Gaussian distributed.

arXiv comment16 pages, 10 figures

References in corpus (31)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Efficient Computation of CMB anisotropies in closed FRW models
• Halo Models of Large Scale Structure
• A Probe of Primordial Gravity Waves and Vorticity
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Parameter Estimation Methodology
• A Measurement of the Damping Tail of the Cosmic Microwave Background Power Spectrum with the South Pole Telescope
• CMB Lensing Reconstruction on the Full Sky
• Detection of Gravitational Lensing in the Cosmic Microwave Background
• Correlation of CMB with large-scale structure: I. ISW Tomography and Cosmological Implications
• High resolution CMB power spectrum from the complete ACBAR data set
• Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope
• The Angular Trispectrum of the CMB
• Correlation of CMB with large-scale structure: II. Weak lensing
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Dark Energy Induced Correlation with Radio Sources
• Optimal limits on f_{NL}^{local} from WMAP 5-year data
• Mapping the Dark Matter through the CMB Damping Tail
• The Atacama Cosmology Telescope: A Measurement of the Cosmic Microwave Background Power Spectrum at 148 and 218 GHz from the 2008 Southern Survey
• Cross-correlation of the CMB and radio galaxies in real, harmonic and wavelet spaces: detection of the integrated Sachs-Wolfe effect and dark energy constraints
• Algorithms for bispectra: forecasting, optimal analysis, and simulation
• Next Generation Redshift Surveys and the Origin of Cosmic Acceleration
• Cosmic Shear of the Microwave Background: The Curl Diagnostic
• Cross-correlation of CMB with large-scale structure: weak gravitational lensing
• CMBPol Mission Concept Study: Gravitational Lensing
• Constraints on Primordial Non-Gaussianity from Large Scale Structure Probes
• The angular power spectrum of NVSS radio galaxies
• CMB Beam Systematics: Impact on Lensing Parameter Estimation
• A Constraint On the Integrated Mass Power Spectrum out to z = 1100 from Lensing of the Cosmic Microwave Background
• Reconstruction of Gravitational Lensing Using WMAP 7-Year Data
• Improved Dark Energy Detection through the Polarization-assisted WMAP-NVSS ISW Correlation

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• Bias-Hardened CMB Lensing
• Evidence for Gravitational Lensing of the Cosmic Microwave Background Polarization from Cross-correlation with the Cosmic Infrared Background
• Cross-correlation between the CMB lensing potential measured by Planck and high-z sub-mm galaxies detected by the Herschel-ATLAS survey
• First Measurement of the Cross-Correlation of CMB Lensing and Galaxy Lensing
• Exploring cosmic origins with CORE: gravitational lensing of the CMB
• The Atacama Cosmology Telescope: measuring radio galaxy bias through cross-correlation with lensing
• Toward a tomographic analysis of the cross-correlation between Planck CMB lensing and H-ATLAS galaxies
• Cosmology from cross correlation of CMB lensing and galaxy surveys
• Isotropy analyses of the Planck convergence map
• Planck Lensing and Cosmic Infrared Background Cross-Correlation with Fermi-LAT: Tracing Dark Matter Signals in the Gamma-Ray Background
• Sunyaev-Zel'dovich Signal from Quasar Hosts: Implications for Detection of Quasar Feedback
• A cross-correlation analysis of CMB lensing and radio galaxy maps
• Detecting Electron Density Fluctuations from Cosmic Microwave Background Polarization using a Bispectrum Approach
• A Small-Scale Modification to the Lensing Kernel