The Mass Function of Void Groups as a Probe of the Primordial non-Gaussianity

Abstract

The primordial non-Gaussianity signal, if measured accurately, will allow us to distinguish between different candidate models for the cosmic inflation. Since the galaxy groups located in void regions are rare events, their abundance may be a sensitive probe of the primordial non-Gaussianity. We construct an analytic model for the mass function of void groups in the framework of the extended Press-Schechter theory with non-Gaussian initial conditions and investigate how it depends on the primordial non-Gaussianity parameter. A feasibility study is conducted by fitting the analytic mass function of void groups to the observational results from the galaxy group catalog of the Sloan Digital Sky Survey Data Release 4 with adjusting the primordial non-Gaussianity parameter.

ApJL in press, revised version, 4 pages, 3 figures, analytic models explained more clearly, contour plots revised, discussion improved

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Cited by in corpus (14)

• Cosmic Voids and Void Lensing in the Dark Energy Survey Science Verification Data
• Large-Scale Clustering of Cosmic Voids
• A halo bias function measured deeply into voids without stochasticity
• Primordial non-Gaussianity from the covariance of galaxy cluster counts
• Primordial non-Gaussianity in the large scale structure of the Universe
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres
• DIVE in the cosmic web: voids with Delaunay Triangulation from discrete matter tracer distributions
• The Halo Void (Dust) Model of Large Scale Structure
• Got plenty of nothing: cosmic voids as a probe of particle dark matter
• Constraining cosmological parameters using void statistics from the SDSS survey
• Analysis of Cosmological Generalized Reduced Void Probability Functions Constrained by Observations and Numerical Simulations
• The Extended Zel'dovich Mass Functions of Clusters and Isolated Clusters in the Presence of Primordial Non-Gaussianity
• Non-Gaussian Distribution and Clustering of Hot and Cold Pixels in the WMAP Five-Year Sky