  We derive the one-loop perturbative formula of the redshift-space matter
power spectrum after density field reconstruction in the Zeldovich
approximation. We find that the reconstruction reduces the amplitudes of
nonlinear one-loop perturbative terms significantly by partially erasing the
nonlinear mode-coupling between density and velocity fields. In comparison with
N-body simulations, we find that both the monopole and quadrupole spectra of
reconstructed matter density fields agree with the one-loop perturbation theory
up to higher wavenumber than those before reconstruction. We also evaluate the
impact on cosmic growth rate assuming the survey volume and the number density
like the Baryon Oscillation Spectroscopic Survey and find that the total error,
including statistical and systematic ones due to one-loop approximation,
decreases by half.
