Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale - INSPIRE

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Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale

Stefano Anselmi
(
- ICE, Bellaterra
)
,
Massimo Pietroni
(
- INFN, Padua
)

May, 2012

41 pages

Published in:

JCAP 12 (2012) 013

e-Print:

1205.2235 [astro-ph.CO]

DOI:

10.1088/1475-7516/2012/12/013

View in:

ADS Abstract Service

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Abstract: (arXiv)

A new computational scheme for the nonlinear cosmological matter power spectrum (PS) is presented. Our method is based on evolution equations in time, which can be cast in a form extremely convenient for fast numerical evaluations. A nonlinear PS is obtained in a time comparable to that needed for a simple 1-loop computation, and the numerical implementation is very simple. Our results agree with N-body simulations at the percent level in the BAO range of scales, and at the few-percent level up to

k ~ 1

h/Mpc at

z >= 0.5

, thereby opening the possibility of applying this tool to scales interesting for weak lensing. We clarify the approximations inherent to this approach as well as its relations to previous ones, such as the Time Renormalization Group, and the multi-point propagator expansion. We discuss possible lines of improvements of the method and its intrinsic limitations by multi streaming at small scales and low redshifts.

Note:

Discussion of the small scale regime dramatically reorganized. Two appendices added. Results unchanged

power spectrum: nonlinear
matter: power spectrum
redshift: low
renormalization group
perturbation theory
evolution equation
many-body problem
propagator
gravitation: lens
baryon: oscillation: acoustic

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