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Redshift-space distortions (RSD) offers an exciting opportunity to test thegravity on cosmological scales. In the presence of galaxy bias, however, theRSD measurement at large scales, where the linear theory prediction is safelyapplied, is known to exhibit a degeneracy between the parameters of structuregrowth f and fluctuation amplitude sigma8, and one can only constrain theparameters in the form of fsigma8. In order to disentangle this degeneracy, inthis paper, we go beyond the linear theory, and consider the model of RSDapplicable 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. Performingfurther the Markov chain Monte Carlo analysis, we verify that our modelcorrectly reproduces the fiducial values of fsigma8 and sigma8, with thestatistical errors consistent with those estimated from the Fisher matrixanalysis. We show that upcoming galaxy survey of the stage-IV class canunambiguously determine sigma8 at the precision down to 10% at higher redshiftseven if we restrict the accessible scales to k<0.16h/Mpc

Toward a more stringent test of gravity with redshift space power spectrum: simultaneous probe of growth and amplitude of large-scale structure