The dark matter bispectrum from effective viscosity and one-particle irreducible vertices

Abstract

Dark matter evolution during the process of cosmological structure formation can be described in terms of a one-particle irreducible effective action at a characteristic scale $k_m$ and a loop expansion below this scale, based on the effective propagators and vertices. We calculate the form of the effective vertices and compute the bispectrum of density perturbations within a one-loop approximation. We find that the effective vertices play a subdominant role as compared to the effective viscosity and sound velocity that modify the (inverse) propagators. For the bispectrum we reproduce the results of standard perturbation theory in the range where it is applicable, and find a slightly improved agreement with N-body simulations at larger wavenumbers.

24 pages, 9 figures

References in corpus (12)

• Introducing the Illustris Project: Simulating the coevolution of dark and visible matter in the Universe
• The Effective Field Theory of Cosmological Large Scale Structures
• Nonlinear Evolution of Baryon Acoustic Oscillations
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: First measurement of Baryon Acoustic Oscillations between redshift 0.8 and 2.2
• The IR-resummed Effective Field Theory of Large Scale Structures
• A critical look at cosmological perturbation theory techniques
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• `Eppur Si Muove': On The Motion of the Acoustic Peak in the Correlation Function
• A coarse grained perturbation theory for the Large Scale Structure, with cosmology and time independence in the UV
• Renormalization-group flow of the effective action of cosmological large-scale structures
• The two and three-loop matter bispectrum in perturbation theories
• Evolution of dark matter velocity dispersion

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• General relativistic non-ideal fluid equations for dark matter from a truncated cumulant expansion
• Dark matter vorticity and velocity dispersion from truncated Dyson$\unicode{x2013}$Schwinger equations