Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures

Abstract

The detection of primordial non-Gaussianity could provide a powerful means to test various inflationary scenarios. Although scale-invariant non-Gaussianity (often described by the $f_{NL}$ formalism) is currently best constrained by the CMB, single-field models with changing sound speed can have strongly scale-dependent non-Gaussianity. Such models could evade the CMB constraints but still have important effects at scales responsible for the formation of cosmological objects such as clusters and galaxies. We compute the effect of scale-dependent primordial non-Gaussianity on cluster number counts as a function of redshift, using a simple ansatz to model scale-dependent features. We forecast constraints on these models achievable with forthcoming data sets. We also examine consequences for the galaxy bispectrum. Our results are relevant for the Dirac-Born-Infeld model of brane inflation, where the scale-dependence of the non-Gaussianity is directly related to the geometry of the extra dimensions.

43 pages, 9 figures; references added, submitted to JCAP; typo corrected in Table 1, minor changes to the text

References in corpus (69)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• de Sitter Vacua in String Theory
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Large scale bias and the peak background split
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• k-Inflation
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Mass function of dark matter halos
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Towards Inflation in String Theory
• Non-Gaussianity from Inflation: Theory and Observations
• Perturbations in k-inflation
• DBI in the Sky
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Brane Inflation
• What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?
• Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
• The primordial density perturbation in the curvaton scenario
• Second-Order Cosmological Perturbations from Inflation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• Precision Determination of the Mass Function of Dark Matter Halos
• The Three--Point Correlation Function of the Cosmic Microwave Background in Inflationary Models
• The shape of non-Gaussianities
• Cosmic Background Anisotropies in CDM Cosmology
• Primordial non-gaussianities in single field inflation
• Limits on non-Gaussianities from WMAP data
• Large-scale structure, the cosmic microwave background, and primordial non-gaussianity
• Large Non-Gaussianities in Single Field Inflation
• The abundance of high-redshift objects as a probe of non-Gaussian initial conditions
• On non-gaussianities in single-field inflation
• Non-Gaussianities in models with a varying inflaton decay rate
• Evolution of the Mass Function of Dark Matter Haloes
• Running Non-Gaussianities in DBI Inflation
• Constraints on Omega_m, Omega_L, and Sigma_8, from Galaxy Cluster Redshift Distributions
• Constraints on the density perturbation spectrum from primordial black holes
• Probing Primordial Non-Gaussianity with Large-Scale Structure
• The Angular Dependence of the Three-Point Correlation Function of the Cosmic Microwave Background Radiation as Predicted by Inflationary Cosmologies
• Inflation from Warped Space
• The Cosmic Microwave Background Bispectrum and Inflation
• The Bispectrum: From Theory to Observations
• Multi-Throat Brane Inflation
• Non-Gaussianities in Multi-field Inflation
• Limits on f_NL parameters from WMAP 3yr data
• Primordial Non-Gaussianity and Analytical Formula for Minkowski Functionals of the Cosmic Microwave Background and Large-scale Structure
• Constraints on Galaxy Bias, Matter Density, and Primordial Non--Gausianity from the PSCz Galaxy Redshift Survey
• The Atacama Cosmology Telescope
• Observing Brane Inflation
• Tests for primordial non-Gaussianity
• The bispectrum of redshifted 21-cm fluctuations from the dark ages
• Comparing Brane Inflation to WMAP
• Brane Inflation and Cosmic String Tension in Superstring Theory
• Estimators for local non-Gaussianities
• Large Nongaussianity from Nonlocal Inflation
• Monte Carlo reconstruction of the inflationary potential
• Slow Roll Reconstruction: Constraints on Inflation from the 3 Year WMAP Dataset
• Constraining Primordial Non-Gaussianity With the Abundance of High Redshift Clusters
• Constraints on a non-gaussian (${\chi }_m^2$) CDM model
• Using Cluster Abundances and Peculiar Velocities to Test the Gaussianity of the Cosmological Density Field
• Evolution of the cluster abundance in non-Gaussian models
• Non--Gaussian Effects in the Cosmic Microwave Background from Inflation
• Cosmic microwave background bispectrum and slow roll inflation
• Can large-scale structure probe CMB-constrained non-Gaussianity?
• Gravitational Evolution of the Large-Scale Probability Density Distribution: The Edgeworth & Gamma Expansions
• Skewness as a probe of non-Gaussian initial conditions
• Are Clusters Standard Candles? Galaxy Cluster Scaling Relations With the Sunyaev-Zeldovich Effect
• Limits on primordial power spectrum resolution: An inflationary flow analysis
• Kurtosis in Large-Scale Structure as a Constraint on Non-Gaussian Initial Conditions
• Constraining Primordial Non-Gaussianities from the WMAP2 2-1 Cumulant Correlator Power Spectrum

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