A New Approach to Probing Primordial Non-Gaussianity

Abstract

We address the dual challenge of estimating deviations from Gaussianity arising in models of the Early Universe, whilst retaining information necessary to assess whether a detection of non-Gaussianity is primordial. We do this by constructing a new statistic, the bispectrum-related power spectrum, which is constructed from a map of the Cosmic Microwave Background. The estimator is optimised for primordial non-Gaussianity detection, but can also be useful in distinguishing primordial non-Gaussianity from secondary non-Gaussianity, such as may arise from unsubtracted point sources, or residuals from component separation. Extending earlier studies we present unbiased non-Gaussianity estimators optimised for partial sky coverage and inhomogeneous noise associated with realistic scan strategies, but which retain the ability to assess foreground contamination.

13 pages, 1 figure

References in corpus (14)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• The Effective Field Theory of Inflation
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Detection of Gravitational Lensing in the Cosmic Microwave Background
• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• Optimal limits on f_{NL}^{local} from WMAP 5-year data
• Non-Gaussianities in New Ekpyrotic Cosmology
• Limits on f_NL parameters from WMAP 3yr data
• Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background
• Non-Gaussianities from ekpyrotic collapse with multiple fields
• Impact of Secondary non-Gaussianities on the Search for Primordial Non-Gaussianity with CMB Maps
• Point Source Contamination in CMB Non-Gaussianity Analyses
• Impact of Uncertainties in the Cosmological Parameters on the Measurement of Primordial non-Gaussianity
• Constraining Primordial Non-Gaussianities from the WMAP2 2-1 Cumulant Correlator Power Spectrum

Cited by in corpus (54)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure
• Planck 2013 results. XIX. The integrated Sachs-Wolfe effect
• The CMB Bispectrum
• Non Gaussianity and Minkowski Functionals: forecasts for Planck
• From Weak Lensing to non-Gaussianity via Minkowski Functionals
• Non-Gaussianity from violation of slow-roll in multiple inflation
• The real shape of non-Gaussianities
• Detecting Bispectral Acoustic Oscillations from Inflation Using a New Flexible Estimator
• Bispectrum of the Sunyaev-Zel'dovich Effect
• New Optimised Estimators for the Primordial Trispectrum
• Capturing Non-Gaussianity of the Large-Scale Structure with Weighted Skew-Spectra
• Foreground Biases on Primordial Non-Gaussianity Measurements from the CMB Temperature Bispectrum: Implications for Planck and Beyond
• Non-Gaussianity in Large Scale Structure and Minkowski Functionals
• Cosmological Information in Skew Spectra of Biased Tracers in Redshift Space
• Probing Modified Gravity Theories with ISW and CMB Lensing
• What Can We Learn by Combining the Skew Spectrum and the Power Spectrum?
• Secondary non-Gaussianity and Cross-Correlation Analysis
• The Weak Lensing Bispectrum Induced By Gravity
• Higher Order Statistics for Three-dimensional Shear and Flexion
• New Approaches to Probing Minkowski Functionals
• Higher-order Convergence Statistics for Three-dimensional Weak Gravitational Lensing
• The Integrated Bispectrum and Beyond
• The bispectra of galactic CMB foregrounds and their impact on primordial non-Gaussianity estimation
• Non-Gaussianity of secondary anisotropies from ACTPol and Planck
• Cosmology with Phase Statistics: Parameter Forecasts and Detectability of BAO
• Higher-order Statistics of Weak Lensing Shear and Flexion
• Optimal Estimation of the Binned Mask-Free Power Spectrum, Bispectrum, and Trispectrum on the Full Sky: Scalar Edition
• Primordial Non-Gaussianity from a Joint Analysis of Cosmic Microwave Background Temperature and Polarization
• High-resolution CMB bispectrum estimator with flexible modal basis
• The Integrated Bispectrum in Modified Gravity Theories
• The Morphology of the Thermal Sunyaev-Zel'dovich Sky
• Lensing-induced morphology changes in CMB temperature maps in modified gravity theories
• Consistency Relations in Effective Field Theory
• Estimating the Integrated Bispectrum from Weak Lensing Maps
• Weak Lensing Skew-Spectrum
• Adiabatic versus Isocurvature Non--Gaussianity
• The integrated angular bispectrum of weak lensing
• Cross-correlating Sunyaev-Zel'dovich and Weak Lensing Maps
• Morphology of Weak Lensing Convergence Maps
• The gravitational and lensing-ISW bispectrum of 21cm radiation
• Statistics of the excursion sets in models with local primordial non-Gaussianity
• Exploring local fNL estimators based on the binned bispectrum
• Principal Components of CMB non-Gaussianity
• Constraints on primordial non-Gaussianity using multitracer technique for skew spectrum
• Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
• Reionization and CMB non-Gaussianity
• Position-Dependent Correlation Function of Weak Lensing Convergence
• The Statistics of Cosmological Lyman-alpha Absorption
• Recent results and perspectives on cosmology and fundamental physics from microwave surveys
• Non-Gaussian Distribution and Clustering of Hot and Cold Pixels in the WMAP Five-Year Sky