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Title: Cosmological perturbation theory at three-loop order

We analyze the dark matter power spectrum at three-loop order in standard perturbation theory of large scale structure. We observe that at late times the loop expansion does not converge even for large scales (small momenta) well within the linear regime, but exhibits properties compatible with an asymptotic series. We propose a technique to restore the convergence in the limit of small momentum, and use it to obtain a perturbative expansion with improved convergence for momenta in the range where baryonic acoustic oscillations are present. Our numerical three-loop results are compared with data from N-body simulations at different redshifts, and we find good agreement within this range.
Authors:
 [1] ; ;  [2]
  1. CERN, Theory Division, 1211 Geneva (Switzerland)
  2. DESY, Notkestr. 85, 22607 Hamburg (Germany)
Publication Date:
OSTI Identifier:
22369827
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASYMPTOTIC SOLUTIONS; BARYONS; COMPARATIVE EVALUATIONS; CONVERGENCE; EXPANSION; NONLUMINOUS MATTER; OSCILLATIONS; PERTURBATION THEORY; RED SHIFT; SIMULATION; SPECTRA