Toward a more stringent test of gravity with redshift space power
  spectrum: simultaneous probe of growth and amplitude of large-scale structure
  Redshift-space distortions (RSD) offers an exciting opportunity to test the
gravity on cosmological scales. In the presence of galaxy bias, however, the
RSD measurement at large scales, where the linear theory prediction is safely
applied, is known to exhibit a degeneracy between the parameters of structure
growth f and fluctuation amplitude sigma8, and one can only constrain the
parameters in the form of fsigma8. In order to disentangle this degeneracy, in
this paper, we go beyond the linear theory, and consider the model of RSD
applicable to a weakly nonlinear regime. Based on the Fisher matrix analysis,
we show explicitly that the degeneracy of the parameter fsigma8 can be broken,
and sigma8 is separately estimated in the presence of galaxy bias. Performing
further the Markov chain Monte Carlo analysis, we verify that our model
correctly reproduces the fiducial values of fsigma8 and sigma8, with the
statistical errors consistent with those estimated from the Fisher matrix
analysis. We show that upcoming galaxy survey of the stage-IV class can
unambiguously determine sigma8 at the precision down to 10% at higher redshifts
even if we restrict the accessible scales to k<0.16h/Mpc
