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We analyse the anisotropic clustering of the Baryon Oscillation SpectroscopicSurvey (BOSS) CMASS Data Release 11 (DR11) sample, which consists of $690\,827$galaxies in the redshift range $0.43 < z < 0.7$ and has a sky coverage of$8\,498\,\text{deg}^2$. We perform our analysis in Fourier space using a powerspectrum estimator suggested by Yamamoto et al. (2006). We measure themultipole power spectra in a self-consistent manner for the first time in thesense that we provide a proper way to treat the survey window function and theintegral constraint, without the commonly used assumption of an isotropic powerspectrum and without the need to split the survey into sub-regions. The maincosmological signals exploited in our analysis are the Baryon AcousticOscillations and the signal of redshift space distortions, both of which aredistorted by the Alcock-Paczynski effect. Together, these signals allow us toconstrain the distance ratio $D_V(z_{\rm eff})/r_s(z_d) = 13.89\pm 0.18$, theAlcock-Paczynski parameter $F_{\rm AP}(z_{\rm eff}) = 0.679\pm0.031$ and thegrowth rate of structure $f(z_{\rm eff})\sigma_8(z_{\rm eff}) = 0.419\pm0.044$at the effective redshift $z_{\rm eff}=0.57$. We did not find significantsystematic uncertainties for $D_V/r_s$ or $F_{\rm AP}$ but include a systematicerror for $f\sigma_8$ of $3.1\%$. Combining our dataset with Planck to testGeneral Relativity (GR) through the simple $\gamma$-parameterisation, reveals a$\sim 2\sigma$ tension between the data and the prediction by GR. The tensionbetween our result and GR can be traced back to a tension in the clusteringamplitude $\sigma_8$ between CMASS and Planck.

monthly notices of the royal astronomical society

The clustering of galaxies in the SDSS-III Baryon Oscillation  Spectroscopic Survey: Testing gravity with redshift-space distortions using  the power spectrum multipoles