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With the largest spectroscopic galaxy survey volume drawn from the SDSS-IIIBaryon Oscillation Spectroscopic Survey (BOSS), we can extract cosmologicalconstraints from the measurements of redshift and geometric distortions atquasi-linear scales (e.g. above 50 $h^{-1}$Mpc). We analyze the broad-rangeshape of the monopole and quadrupole correlation functions of the BOSS DataRelease 12 (DR12) CMASS galaxy sample, at the effective redshift $z=0.59$, toobtain constraints on the Hubble expansion rate $H(z)$, the angular-diameterdistance $D_A(z)$, the normalized growth rate $f(z)\sigma_8(z)$, and thephysical matter density $\Omega_mh^2$. We obtain robust measurements byincluding a polynomial as the model for the systematic errors, and find itworks very well against the systematic effects, e.g., ones induced by stars andseeing. We provide accurate measurements $\{D_A(0.59)r_{s,fid}/r_s$ $\rm Mpc$,$H(0.59)r_s/r_{s,fid}$ $km s^{-1} Mpc^{-1}$, $f(0.59)\sigma_8(0.59)$, $\Omega_mh^2\}$ = $\{1427\pm26$, $97.3\pm3.3$, $0.488 \pm 0.060$, $0.135\pm0.016\}$,where $r_s$ is the comoving sound horizon at the drag epoch and$r_{s,fid}=147.66$ Mpc is the sound scale of the fiducial cosmology used inthis study. The parameters which are not well constrained by our galaxyclustering analysis are marginalized over with wide flat priors. Since nopriors from other data sets, e.g., cosmic microwave background (CMB), areadopted and no dark energy models are assumed, our results from BOSS CMASSgalaxy clustering alone may be combined with other data sets, i.e., CMB, SNe,lensing or other galaxy clustering data to constrain the parameters of a givencosmological model. The uncertainty on the dark energy equation of stateparameter, $w$, from CMB+CMASS is about 8 per cent. The uncertainty on thecurvature fraction, $\Omega_k$, is 0.3 per cent. We do not find deviation fromflat $\Lambda$CDM.

monthly notices of the royal astronomical society

The clustering of galaxies in the SDSS-III Baryon Oscillation  Spectroscopic Survey: single-probe measurements from CMASS anisotropic galaxy  clustering