Limits on f_NL parameters from WMAP 3yr data

Abstract

We analyze the 3-year WMAP data and look for a deviation from Gaussianity in the form of a 3-point function that has either of the two theoretically motivated shapes: local and equilateral. There is no evidence of departure from Gaussianity and the analysis gives the presently tightest bounds on the parameters f_ NL^local and f_NL^equil., which define the amplitude of respectively the local and the equilateral non-Gaussianity: -36 < f_NL^local < 100, -256 < f_NL^equil. < 332 at 95% C.L.

10 pages, 3 figures; v2: added some comments and equations, corrected the comments on the constraint on the speed of sound

References in corpus (22)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• DBI in the Sky
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• The primordial density perturbation in the curvaton scenario
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• Second-Order Cosmological Perturbations from Inflation
• Single field consistency relation for the 3-point function
• A high resolution foreground cleaned CMB map from WMAP
• Ghost Inflation
• The shape of non-Gaussianities
• Limits on non-Gaussianities from WMAP data
• Measuring primordial non-Gaussianity in the cosmic microwave background
• On non-gaussianities in single-field inflation
• Non-Gaussianities in models with a varying inflaton decay rate
• Primordial Bispectrum Information from CMB Polarization
• Tilted Ghost Inflation
• Seed perturbations for primordial magnetic fields from MSSM flat directions
• A high-significance detection of non-Gaussianity in the WMAP 3-year data using directional spherical wavelets
• Right-handed neutrinos as the source of density perturbations

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