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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
Jinglan Zheng, Gong-Bo Zhao, Jian Li, Yuting Wang, Chia-Hsun Chuang, Francisco-Shu Kitaura, Sergio Rodriguez-Torres
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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 D_A, 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 arXiv:1709.05173, 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.
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