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

In this study, we perform a tomographic structure growth and expansion rate analysis using the monopole, quadrupole and hexadecapole of the redshift-space galaxy power spectrum derived from the Sloan Digital Sky Survey (SDSS-III) Baryon Oscillation Spectroscopic Survey (BOSS) Data Release 12 combined sample, which covers the redshift range of 0. 20 DA, 3-10 per cent for H and 9-12 per cent for fσ8 with a redshift resolution of Δz ~ 0. 04. Our measurement is consistent with that presented in Wang et al. , where the analysis is performed in configuration space. Finally, we apply our measurement to constrain the Em>f (R) gravity model, and find that the 95 per cent CL upper limit of log10B0 can be reduced by 11 per cent by our tomographic BAO and RSD measurements.