Phase Mapping as a Powerful Diagnostic of Primordial Non-Gaussianity

Abstract

The identification and extraction of non-Gaussian signals is one of the main cosmological challenges facing future experimental measurements of the cosmic microwave background temperature pattern. We present a generalized statistical measure based on a novel technique representation of Fourier phases using the return map. We show that this method is both robust and powerful in comparison, for example, with morphological measures.

References in corpus (4)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• A high resolution foreground cleaned CMB map from WMAP
• Non-Gaussianity of the derived maps from the first-year WMAP data
• Return mapping of phases and the analysis of the gravitational clustering hierarchy

Cited by in corpus (31)

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• Optimal Estimation of Non-Gaussianity
• Local Voids as the Origin of Large-angle Cosmic Microwave Background Anomalies: The Effect of a Cosmological Constant
• Phase Correlations in Cosmic Microwave Background Temperature Maps
• Primordial Non-Gaussianity in the Cosmic Microwave Background
• Primordial magnetic field and non-Gaussianity of the 1-year Wilkinson Microwave Anisotropy Probe (WMAP) data
• A low CMB variance in the WMAP data
• Testing Gaussian random hypothesis with the cosmic microwave background temperature anisotropies in the three-year WMAP data
• Statistics of phase correlations as a test for non-Gaussianity of the CMB maps
• Random-Walk Statistics and the Spherical Harmonic Representation of CMB Maps
• Three-point phase correlations: A new measure of non-linear large-scale structure
• CMB Tomography: Reconstruction of Adiabatic Primordial Scalar Potential Using Temperature and Polarization Maps
• Auto and cross correlation of phases of the whole-sky CMB and foreground maps from the 1-year WMAP data
• Foreground analysis from the 1-year Wilkinson Microwave Anisotropy Probe (WMAP) data
• Density mapping with weak lensing and phase information
• Statistical Characterization of Temperature Patterns in Anisotropic Cosmologies
• Harmonic Inpainting of the Cosmic Microwave Background Sky: Formulation and Error Estimate
• Correlations from Galactic foregrounds in the 1-year Wilkinson Microwave Anisotropy Probe WMAP data
• Phase analysis of the cosmic microwave background from an incomplete sky coverage
• Effect of component separation on the temperature distribution of the CMB
• On the Coherence of WMAP and Planck Temperature Maps
• Probing redshift-space distortions with phase correlations
• The relation between the two-point and the three-point correlation functions in the non-linear gravitational clustering regime
• Spawning and merging of Fourier modes and phase coupling in cosmological density bispectrum
• Phase statistics of the WMAP 7 year data
• Zonal Modes of Cosmic Microwave Background Temperature Maps
• Structure in Galaxy Distribution. III. Fourier Transforming the Universe
• Obtaining non-linear galaxy bias constraints from galaxy-lensing phase differences
• Investigating non-Gaussianity in Cosmic Microwave Background Temperature Maps using Spherical Harmonic Phases