Signature of Primordial Non-Gaussianity on Matter Power Spectrum

Abstract

Employing the perturbative treatment of gravitational clustering, we discuss possible effects of primordial non-Gaussianity on the matter power spectrum. As gravitational clustering develops, the coupling between different Fourier modes of density perturbations becomes important and the primordial non-Gaussianity which intrinsically possesses a non-trivial mode-correlation can affect the late-time evolution of the power spectrum. We quantitatively estimate the non-Gaussian effect on power spectrum from the perturbation theory. The potential impact on the cosmological parameter estimation using the power spectrum are investigated based on the Fisher-matrix formalism. In addition, on the basis of the local biasing prescription, non-Gaussian effects on the galaxy power spectrum are considered, showing that the scale-dependent biasing arises from a local-type primordial non-Gaussianity. On the other hand, an equilateral-type non-Gaussianity does not induce such scale-dependence because of weaker mode-correlations between small and large Fourier modes.

15 pages, 7 figures, accepted for publication in Phys.Rev.D

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• Constraints on primordial non-Gaussianity from 800,000 photometric quasars
• Constraints on Single-Field Inflation from the BOSS Galaxy Survey
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• Primordial non-Gaussianity in the large scale structure of the Universe
• Nonlinear clustering in models with primordial non-Gaussianity: the halo model approach
• Maximal compression of the redshift space galaxy power spectrum and bispectrum
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• Scale-Dependent Non-Gaussianity as a Generalization of the Local Model
• Multi-Point Propagators for Non-Gaussian Initial Conditions
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres
• Halo Sampling, Local Bias and Loop Corrections
• Relativistic effects and primordial non-Gaussianity in the galaxy bias
• Squeezing $f_{\mathrm{NL}}$ out of the matter bispectrum with consistency relations
• Halo-Galaxy Lensing: A Full Sky Approach
• The nonlinear probability distribution function in models with local primordial non-Gaussianity
• Power spectrum of density fluctuations, halo abundances and clustering with primordial black holes