Hyperextended Cosmological Perturbation Theory: Predicting Non-linear Clustering Amplitudes

Abstract

We consider the long-standing problem of predicting the hierarchical clustering amplitudes $S_p$ in the strongly non-linear regime of gravitational evolution. N-body results for the non-linear evolution of the bispectrum (the Fourier transform of the three-point density correlation function) suggest a physically motivated ansatz that yields the strongly non-linear behavior of the skewness, $S_3$, starting from leading-order perturbation theory. When generalized to higher-order ($p>3$) polyspectra or correlation functions, this ansatz leads to a good description of non-linear amplitudes in the strongly non-linear regime for both scale-free and cold dark matter models. Furthermore, these results allow us to provide a general fitting formula for the non-linear evolution of the bispectrum that interpolates between the weakly and strongly non-linear regimes, analogous to previous expressions for the power spectrum.

20 pages, 6 figures. Final version accepted by ApJ. Includes new paragraphs on factorizable hierarchical models and agreement of HEPT with the excursion set model for white-noise Gaussian fluctuations

References in corpus (7)

• Transients from Initial Conditions: A Perturbative Analysis
• The Bispectrum as a Signature of Gravitational Instability in Redshift-Space
• An excursion set model for the distribution of dark matter and dark matter haloes
• The Three-point Correlation Function of Galaxies Determined from the Las Campanas Redshift Survey
• Cosmological Perturbation Theory and the Spherical Collapse Model - I. Gaussian Initial Conditions
• Effects of Sampling on Statistics of Large Scale Structure
• Comparison of the Large Scale Clustering in the APM and the EDSGC Galaxy Surveys

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