The primordial "f_NL" non-Gaussianity, and perturbations beyond the present horizon

Abstract

We show a primordial non-linear "f_NL" term may produce unphysically large CMB anisotropy for a red-tilted primordial power spectrum (n<1), because of coupling to primordial fluctuation on the largest scale. We consider a primordial power spectrum models of a running spectral index, and a transition at very low wavenumbers. We find that only negative running spectral index models are allowed, provided that there is no transition at a low wavenumbers (i.e. k<<1). For models of a constant spectral index, we find log(k_c/k_0)> -184, at 1 sigma level, on the transition scale of sharp cut-off models, using recent CMB and SDSS data.

arXiv commentv2: Journal information added

References in corpus (50)

• The Sloan Digital Sky Survey: Technical Summary
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Efficient Computation of CMB anisotropies in closed FRW models
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Non-Gaussianity from Inflation: Theory and Observations
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Improved Distances to Type Ia Supernovae with Multicolor Light Curve Shapes: MLCS2k2
• The Trans-Planckian Problem of Inflationary Cosmology
• The Fifth Data Release of the Sloan Digital Sky Survey
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• The significance of the largest scale CMB fluctuations in WMAP
• The axis of evil
• A note on inflation and transplanckian physics
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectra
• High resolution CMB power spectrum from the complete ACBAR data set
• The ESSENCE Supernova Survey: Survey Optimization, Observations, and Supernova Photometry
• Multipole Vectors--a new representation of the CMB sky and evidence for statistical anisotropy or non-Gaussianity at 2<=l<=8
• On the large-angle anomalies of the microwave sky
• CBR Anisotropy and the Running of the Scalar Spectral Index
• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• Primordial Nucleosynthesis: Successes And Challenges
• Signatures of Short Distance Physics in the Cosmic Microwave Background
• A generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation
• The non-Gaussian Cold Spot in the 3-year WMAP data
• On the Dependence of the Spectra of Fluctuations in Inflationary Cosmology on Trans-Planckian Physics
• The Angular Dependence of the Three-Point Correlation Function of the Cosmic Microwave Background Radiation as Predicted by Inflationary Cosmologies
• The non-Gaussian Cold Spot in WMAP: significance, morphology and foreground contribution
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• Superimposed Oscillations in the WMAP Data?
• Are Inflationary Predictions Sensitive to Very High Energy Physics?
• Transplanckian energy production and slow roll inflation
• The Axis of Evil revisited
• Second and third season QUaD CMB temperature and polarization power spectra
• The CMB cold spot: texture, cluster or void?
• Sloan Digital Sky Survey Imaging of Low Galactic Latitude Fields: Technical Summary and Data Release
• ACBAR: The Arcminute Cosmology Bolometer Array Receiver
• Decoupling in an expanding universe: boundary RG-flow affects initial conditions for inflation
• Correlating anomalies of the microwave sky: The Good, the Evil and the Axis
• High-Resolution Simulations of Cosmic Microwave Background non-Gaussian Maps in Spherical Coordinates
• First season QUaD CMB temperature and polarization power spectra
• QUaD: A High-Resolution Cosmic Microwave Background Polarimeter
• The Pursuit of Non-Gaussian Fluctuations in the Cosmic Microwave Background
• Boundary Effective Field Theory and Trans-Planckian Perturbations: Astrophysical Implications
• Observing Trans-Planckian Signatures in the Cosmic Microwave Background

Cited by in corpus (6)

• Anomalous parity asymmetry of WMAP power spectrum data at low multpoles: is it cosmological or systematics?
• Numerical calculation of second order perturbations
• Parametric tension between even and odd multipole data of WMAP power spectrum: unaccounted contamination or missing parameters?
• Polarized CMB recovery with sparse component separation
• Integrated Markov Chain Monte Carlo (MCMC) analysis of primordial non-Gaussianity (f_NL) in the recent CMB data
• Lack of angular correlation and odd-parity preference in CMB data