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We measure the redshift-space correlation function from a spectroscopicsample of 2783 emission line galaxies from the FastSound survey. The survey,which uses the Subaru Telescope and covers the redshift ranges of$1.19<z<1.55$, is the first cosmological study at such high redshifts. Wedetect clear anisotropy due to redshift-space distortions (RSD) both in thecorrelation function as a function of separations parallel and perpendicular tothe line of sight and its quadrupole moment. RSD has been extensively used totest general relativity on cosmological scales at $z<1$. Adopting a LCDMcosmology with the fixed expansion history and no velocity dispersion$\sigma_{\rm v}=0$, and using the RSD measurements on scales above 8Mpc/h, weobtain the first constraint on the growth rate at the redshift,$f(z)\sigma_8(z)=0.482\pm 0.116$ at $z\sim 1.4$ after marginalizing over thegalaxy bias parameter $b(z)\sigma_8(z)$. This corresponds to $4.2\sigma$detection of RSD. Our constraint is consistent with the prediction of generalrelativity $f\sigma_8\sim 0.392$ within the $1-\sigma$ confidence level. Whenwe allow $\sigma_{\rm v}$ to vary and marginalize it over, the growth rateconstraint becomes $f\sigma_8=0.494^{+0.126}_{-0.120}$. We also demonstratethat by combining with the low-z constraints on $f\sigma_8$, high-z galaxysurveys like the FastSound can be useful to distinguish modified gravity modelswithout relying on CMB anisotropy experiments.

The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at $z\sim 1.4$