X-ray Cluster Constraints on Non-Gaussianity

Abstract

We report constraints on primordial non-Gaussianity from the abundance of X-ray detected clusters. Our analytic prescription for adding non-Gaussianity to the cluster mass function takes into account moments beyond the skewness, and we demonstrate that those moments should not be ignored in most analyses of cluster data. We constrain the amplitude of the skewness for two scenarios that have different overall levels of non-Gaussianity, characterized by how amplitudes of higher cumulants scale with the skewness. We find that current data can constrain these one-parameter non-Gaussian models at a useful level, but are not sensitive to adding further details of the corresponding inflation scenarios. Combining cluster data with Cosmic Microwave Background constraints on the cosmology and power spectrum amplitude, we find the dimensionless skewness to be 1000*M3=-1+24-28 for one of our scaling scenarios, and 1000*M3=-4+/-7 for the other. These are the first constraints on non-Gaussianity from Large Scale Structure that can be usefully applied to any model of primordial non-Gaussianity. When applied to the standard local ansatz, the constraint corresponds to fNL=-3+78-91. When applied to a model with a local-shape bispectrum but higher cumulants that are relatively more important, the amplitude of the local-shape bispectrum is constrained to be fNL=-14+22-21. This sensitivity implies that cluster counts could be used to distinguish qualitatively different models for the primordial fluctuations that have identical bispectra. (Abstract Abridged.)

25 pages, 6 figures; V2: factor of 3/5 in converting M3 to fnl corrected. Link to code for mass function and more trispectrum comparisons added

References in corpus (12)

• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• eROSITA Science Book: Mapping the Structure of the Energetic Universe
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Cross-correlation Weak Lensing of SDSS Galaxy Clusters I: Measurements
• Constraining Primordial Non-Gaussianity with High-Redshift Probes
• Scale-dependence of Non-Gaussianity in the Curvaton Model
• Can large-scale structure probe CMB-constrained non-Gaussianity?
• Optimal Trispectrum Estimators and WMAP Constraints
• Constraining the initial conditions of the Universe using large scale structure
• Negative spectral index of $f_{NL}$ in the axion-type curvaton model
• Higher moments of primordial non-Gaussianity and N-body simulations

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