Date Published:
October 1, 2017
Abstract:
We analyse the broad-range shape of the monopole and quadrupolecorrelation functions of the Baryon Oscillation Spectroscopic SurveyData Release 12 (DR12) CMASS and LOWZ galaxy sample to obtainconstraints on the Hubble expansion rate H(z), the angular-diameterdistance D
A(z), the normalized growth ratef(z)σ
8(z) and the physical matter densityΩ
m h
2. We adopt wide and flat priors on allmodel parameters in order to ensure the results are those of a'single-probe' galaxy clustering analysis. We also marginalize overthree nuisance terms that account for potential observationalsystematics affecting the measured monopole. However, such Monte CarloMarkov Chain analysis is computationally expensive for advancedtheoretical models. We develop a new methodology to speed up theanalysis. Using the range 40 h
-1 Mpc < s < 180h
-1 Mpc, we obtain{D
A(z)r
s,fid/r
s (Mpc),H(z)r
s/r
s,fid km s
-1 Mpc
-1,f(z)σ
8(z), Ω
m h
2} = {956± 28, 75.0 ± 4.0, 0.397 ± 0.073, 0.143 ±0.017} at z = 0.32 and {1421 ± 23, 96.7 ± 2.7, 0.497± 0.058, 0.137 ± 0.015} at z = 0.59 where r
s isthe comoving sound horizon at the drag epoch and r
s,fid =147.66 Mpc for the fiducial cosmology used in this study. Combining ourmeasurements with Planck data, we obtain Ω
m = 0.306± 0.009, H
0 = 67.9 ± 0.7 km s
-1Mpc
-1 and σ
8 = 0.815 ± 0.009 assumingΛcold dark matter (CDM); Ω
k = 0.000 ±0.003 and w = -1.02 ± 0.08 assuming owCDM. Our results show notension with the flat ΛCDM cosmological paradigm. This paper ispart of a set that analyses the final galaxy clustering data set fromBaryon Oscillation Spectroscopic Survey.
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