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  4. Non-linear matter power spectrum from Time Renormalisation Group: efficient computation and comparison with one-loop
 
research article

Non-linear matter power spectrum from Time Renormalisation Group: efficient computation and comparison with one-loop

Audren, Benjamin  
•
Lesgourgues, Julien  
2011
Journal of Cosmology and Astroparticle Physics

We address the issue of computing the non-linear matter power spectrum on mildly non-linear scales with efficient semi-analytic methods. We implemented M. Pietroni's Time Renormalization Group (TRG) method and its Dynamical 1-Loop (D1L) limit in a numerical module for the new Boltzmann code CLASS. Our publicly released module is valid for Lambda CDM models, and optimized in such away to run in less than a minute for D1L, or in one hour (divided by number of nodes) for TRG. A careful comparison of the D1L, TRG and Standard 1-Loop approaches reveals that results depend crucially on the assumed initial bispectrum at high redshift. When starting from a common assumption, the three methods give roughly the same results, showing that the partial resumation of diagrams beyond one loop in the TRG method improves one-loop results by a negligible amount. A comparison with highly accurate simulations by M. Sato & T. Matsubara shows that all three methods tend to over-predict non-linear corrections by the same amount on small wavelengths. Percent precision is achieved until k similar to 0.2 hMpc(-)1 for z >= 2, or until k similar to 0.14 hMpc(-1) at z = 1.

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Type
research article
DOI
10.1088/1475-7516/2011/10/037
Web of Science ID

WOS:000296767600037

Author(s)
Audren, Benjamin  
Lesgourgues, Julien  
Date Issued

2011

Published in
Journal of Cosmology and Astroparticle Physics
Start page

037

Subjects

power spectrum

•

cosmological perturbation theory

•

Large-Scale Structure

•

Universe

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LPPC  
Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/73223
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