Modification of the halo mass function by kurtosis associated with primordial non-Gaussianity

Abstract

We study the halo mass function in the presence of the kurtosis type of primordial non-Gaussianity. The kurtosis corresponds to the trispectrum as defined in Fourier space. The primordial trispectrum is commonly characterized by two parameters, ${\tau }_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$. As applications of the derived non-Gaussian mass function, we consider the effect on the abundance of void structure, the effect on early star formation and on formation of the most massive object at high redshift. We show that by comparing the effects of primordial non-Gaussianity on cluster abundance with that on void abundance, we can distinguish between the skewness and the kurtosis types of primordial non-Gaussianity. As for early star formation, we show that the kurtosis type of primordial non-Gaussianity seems not to affect the reionization history of the Universe on average. However, at high redshifts (up to $z\simeq 20$) such non-Gaussianity does somewhat affect the early stages of reionization.

14 pages, 7 figures, accepted for publication in MNRAS

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• Bayesian field-level inference of primordial non-Gaussianity using next-generation galaxy surveys
• Baryon history and cosmic star formation in non-Gaussian cosmological models: numerical simulations
• Probing primordial non-Gaussianity with 21 cm fluctuations from minihalos
• Primordial Bispectrum and Trispectrum Contributions to the Non-Gaussian Excursion Set Halo Mass Function with Diffusive Drifting Barrier
• Application of cross correlations between CMB and large scale structure to constraints on the primordial non-Gaussianity
• Scale-dependent bias from the primordial non-Gaussianity with a Gaussian-squared field
• The Effect of Primordial Non-Gaussianities on the Seeds of Super-Massive Black Holes
• A revisited Correction to the Halo Mass Function for local-type Primordial non-Gaussianity