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We present an improved prescription for matter power spectrum in redshiftspace taking a proper account of both the non-linear gravitational clusteringand redshift distortion, which are of particular importance for accuratelymodeling baryon acoustic oscillations (BAOs). Contrary to the models ofredshift distortion phenomenologically introduced but frequently used in theliterature, the new model includes the corrections arising from the non-linearcoupling between the density and velocity fields associated with twocompetitive effects of redshift distortion, i.e., Kaiser and Finger-of-Godeffects. Based on the improved treatment of perturbation theory forgravitational clustering, we compare our model predictions with monopole andquadrupole power spectra of N-body simulations, and an excellent agreement isachieved over the scales of BAOs. Potential impacts on constraining dark energyand modified gravity from the redshift-space power spectrum are alsoinvestigated based on the Fisher-matrix formalism. We find that the existingphenomenological models of redshift distortion produce a systematic error onmeasurements of the angular diameter distance and Hubble parameter by 1~2%, andthe growth rate parameter by ~5%, which would become non-negligible for futuregalaxy surveys. Correctly modeling redshift distortion is thus essential, andthe new prescription of redshift-space power spectrum including the non-linearcorrections can be used as an accurate theoretical template for anisotropicBAOs.

Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory