The ratio of the nonlinear power spectrum P(k) to a smooth linear power spectrum PLs without acoustic baryonic oscillations, from Eisenstein & Hu (1999). The points with error bars are the results from N-body simulations. The black solid line PL is the linear power spectrum, and the upper blue dashed line P1loop is the prediction of standard perturbation theory up to one-loop order. The green solid line P is the full nonlinear power spectrum, from Eq. (22), whereas the lower blue dotted line Ppert is the perturbative part. The magenta dot-dashed line PS is the fit to simulations from Smith et al. (2003) (which was not specifically designed to reproduce the baryon oscillations).
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