Testing models of inflation with CMB non-gaussianity

Abstract

Two different predictions for the primordial curvature fluctuation bispectrum are compared through their effects on the Cosmic Microwave Background temperature fluctuations. The first has a local form described by a single parameter f_{NL}. The second is based on a prediction from the warm inflationary scenario, with a different dependence on wavenumber and a parameter f_{WI}. New expressions are obtained for the angular bispectra of the temperature fluctuations and for the estimators used to determine $f_{NL}$ and f_{WI}. The standard deviation of the estimators in an ideal experiment is roughly 5 times larger for f_{WI} than for f_{NL}. Using 3 year WMAP data gives limits -375<f_{WI}<36.8, but there is a possibility of detecting a signal for f_{WI} from the Planck satellite.

13 pages, 5 figures in ReVTeX

References in corpus (21)

• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• A general proof of the conservation of the curvature perturbation
• Warm Inflation
• Second-Order Cosmological Perturbations from Inflation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• The inflationary prediction for primordial non-gaussianity
• A new mechanism for generating density perturbations from inflation
• The Three--Point Correlation Function of the Cosmic Microwave Background in Inflationary Models
• The shape of non-Gaussianities
• Non-Gaussianity of the primordial perturbation in the curvaton model
• Limits on non-Gaussianities from WMAP data
• Measuring primordial non-Gaussianity in the cosmic microwave background
• On non-gaussianities in single-field inflation
• The Angular Dependence of the Three-Point Correlation Function of the Cosmic Microwave Background Radiation as Predicted by Inflationary Cosmologies
• Cosmological Perturbations From Inhomogeneous Reheating, Freeze-Out, and Mass Domination
• Higher-Order Gravitational Perturbations of the Cosmic Microwave Background
• Non-gaussianity in fluctuations from warm inflation
• Testing Primordial Non-Gaussianity in CMB Anisotropies
• Skewness of Cosmic Microwave Background Temperature Fluctuations Due to Non-linear Gravitational Instability
• A Stochastic Measure for Eternal Inflation

Cited by in corpus (18)

• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• The shape of primordial non-Gaussianity and the CMB bispectrum
• Signatures of Initial State Modifications on Bispectrum Statistics
• Density fluctuations from warm inflation
• The CMB Bispectrum
• Theory of non-Gaussianity in warm inflation
• The warm inflation story
• General Single Field Inflation with Large Positive Non-Gaussianity
• Inflation, the Hubble Tension and Early Dark Energy: an alternative overview
• Cosmic String Power Spectrum, Bispectrum and Trispectrum
• Inflationary NonGaussianity from Thermal Fluctuations
• Inflationary Potential as seen from Different Angles: Model Compatibility from Multiple CMB Missions
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Non-gaussianity in the strong regime of warm inflation
• Tracking the Multifield Dynamics with Cosmological Data: A Monte Carlo approach
• Principal Components of CMB non-Gaussianity
• Measuring CMB non-Gaussianity as a probe of Inflation and Cosmic Strings
• Integrated Markov Chain Monte Carlo (MCMC) analysis of primordial non-Gaussianity (f_NL) in the recent CMB data