Third-Order Density Perturbation and One-Loop Power Spectrum in Dark-Energy-Dominated Universe

Abstract

We investigate the third-order density perturbation and the one-loop correction to the linear power spectrum in the dark-energy cosmological model. Our main interest is to understand the dark-energy effect on baryon acoustic oscillations in a quasi-nonlinear regime ($k\approx 0.1h$/Mpc). Analytical solutions and simple fitting formulae are presented for the dark-energy model with the general time-varying equation of state $w(a)$. It turns out that the power spectrum coincides with the approximate result based on the EdS (Einstein de-Sitter) model within 1% for $k<0.4h/$Mpc at $z=0$ in the WMAP (Wilkinson Microwave Anisotropy Probe) 5yr best-fitting cosmological model, which suggests that the cosmological dependence is very small.

11 pages, Prog. Ther. Phys. in press, minor changes, references added

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• The Effective Field Theory of Large Scale Structure at Two Loops: the apparent scale dependence of the speed of sound
• Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
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• Relativistic cosmological large scale structures at one-loop
• Perturbation theory for the redshift-space matter power spectra after reconstruction
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• Two-loop power spectrum with full time- and scale-dependence and EFT corrections: impact of massive neutrinos and going beyond EdS
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