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We study the non-linear evolution of baryon acoustic oscillations in thematter power spectrum and correlation function from the improved perturbationtheory (PT). Based on the framework of renormalized PT, we apply the {\itclosure approximation} that truncates the infinite series of loop contributionsat one-loop order, and obtain a closed set of integral equations for powerspectrum and non-linear propagator. The resultant integral expressions keepimportant non-perturbative properties which can dramatically improve theprediction of non-linear power spectrum. Employing the Born approximation, wethen derive the analytic expressions for non-linear power spectrum and thepredictions are made for non-linear evolution of baryon acoustic oscillationsin power spectrum and correlation function. A detailed comparison betweenimproved PT results and N-body simulations shows that a percent-level agreementis achieved in a certain range in power spectrum and in a rather wider range incorrelation function. Combining a model of non-linear redshift-spacedistortion, we also evaluate the power spectrum and correlation function incorrelation function. In contrast to the results in real space, the agreementbetween N-body simulations and improved PT predictions tends to be worse, and amore elaborate modeling for redshift-space distortion needs to be developed.Nevertheless, with currently existing model, we find that the prediction ofcorrelation function has a sufficient accuracy compared with thecosmic-variance errors for future galaxy surveys with volume of a few (Gpc/h)^3at z>=0.5.

Non-linear Evolution of Baryon Acoustic Oscillations from Improved Perturbation Theory in Real and Redshift Spaces