Next-to-leading resummation of cosmological perturbations via the Lagrangian picture: 2-loop correction in real and redshift spaces

We present an improved prediction of Lagrangian resummation theory (LRT), the nonlinear perturbation theory (PT) via the Lagrangian picture originally proposed by Matsubara (2008). Based on the relations between the power spectrum in standard PT and that in LRT, we derive analytic expressions for th...

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Veröffentlicht in:Journal of cosmology and astroparticle physics 2011-08, Vol.2011 (8), p.12-12
Hauptverfasser: Okamura, Tomohiro, Taruya, Atsushi, Matsubara, Takahiko
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container_title Journal of cosmology and astroparticle physics
container_volume 2011
creator Okamura, Tomohiro
Taruya, Atsushi
Matsubara, Takahiko
description We present an improved prediction of Lagrangian resummation theory (LRT), the nonlinear perturbation theory (PT) via the Lagrangian picture originally proposed by Matsubara (2008). Based on the relations between the power spectrum in standard PT and that in LRT, we derive analytic expressions for the power spectrum in LRT up to 2-loop order in both real and redshift spaces. Comparing the improved prediction of LRT with N-body simulations in real space, we find that the 2-loop corrections can extend the valid range of wave numbers where we can predict the power spectrum within 1% accuracy by a factor of 1.0 (z = 0.5), 1.3 (1), 1.6 (2) and 1.8 (3) vied with 1-loop LRT results. On the other hand, in all redshift ranges, the higher-order corrections are shown to be less significant on the two-point correlation functions around the baryon acoustic peak, because the 1-loop LRT is already accurate enough to explain the nonlinearity on those scales in N-body simulations.
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subjects ASTROPHYSICS
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
BARYONS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
CORRECTIONS
CORRELATION FUNCTIONS
COSMOLOGY
ENERGY SPECTRA
LAGRANGIAN FUNCTION
NONLINEAR PROBLEMS
PERTURBATION THEORY
RED SHIFT
SPACE
title Next-to-leading resummation of cosmological perturbations via the Lagrangian picture: 2-loop correction in real and redshift spaces
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