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We perform a tomographic analysis of structure growth and expansion rate fromthe anisotropic galaxy clustering of the combined sample of Baryon OscillationSpectroscopic Survey (BOSS) Data Release 12, which covers the redshift range of$0.2<z<0.75$. In order to extract the redshift information of anisotropicgalaxy clustering, we analyse this data set in nine overlapping redshift slicesin configuration space and perform the joint constraints on the parameters$(D_V, F_{\mathrm{AP}}, f\sigma_8)$ using the correlation function multipoles.The analysis pipeline is validated using the MultiDark-Patchy mock catalogues.We obtain a measurement precision of $1.5\%-2.9\%$ for $D_V$, $5.2\%-9\%$ for$F_{\mathrm{AP}}$ and $13.3\%-24\%$ for $f \sigma_8$, depending on theeffective redshift of the slices. We report a joint measurement of $(D_V,F_{\mathrm{AP}}, f\sigma_8)$ with the full covariance matrix in nine redshiftslices. We use our joint BAO and RSD measurement combined with externaldatasets to constrain the gravitational growth index $\gamma$, and find$\gamma=0.656 \pm 0.057$, which is consistent with the $\Lambda$CDM predictionwithin 95\% CL.

monthly notices of the royal astronomical society

The clustering of galaxies in the completed SDSS-III Baryon Oscillation  Spectroscopic Survey: a tomographic analysis of structure growth and  expansion rate from anisotropic galaxy clustering