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

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<z<0.75. By allowing for overlap between neighbouring redshift slices in order to extract information on the light-cone, we successfully obtain joint BAO and RSD constraints with a precision of 2−3% for DA, 3−10% for H and 9−12% for fσ8 with a redshift resolution of Δz∼0.04. Our measurement is consistent with that presented in Wang et al. (2018b), where the analysis is performed in configuration space. We apply our measurement to constrain the f(R) gravity model, and find that the 95\% CL upper limit of log10B0 can be reduced by 11\% by our tomographic BAO and RSD measurement. We make our joint BAO and RSD measurement publicly available at https://github.com/Alice-Zheng/RSD-data.