Abstract:

We analyse the anisotropic clustering of the Baryon OscillationSpectroscopic Survey (BOSS) CMASS Data Release 11 (DR11) sample, whichconsists of $690\,827$ galaxies in the redshift range $0.43 < z <0.7$ and has a sky coverage of $8\,498\,$deg$^2$. We perform ouranalysis in Fourier space using a power spectrum estimator suggested byYamamoto et al. (2006). We measure the multipole power spectra in aself-consistent manner for the first time in the sense that we provide aproper way to treat the survey window function and the integralconstraint, without the commonly used assumption of an isotropic powerspectrum and without the need to split the survey into sub-regions. Themain cosmological signals exploited in our analysis are the BaryonAcoustic Oscillations and the signal of redshift space distortions, bothof which are distorted by the Alcock-Paczynski effect. Together, thesesignals allow us to constrain the distance ratio $D_V(z_{\rmeff})/r_s(z_d) = 13.89\pm 0.18$, the Alcock-Paczynski parameter $F_{\rmAP}(z_{\rm eff}) = 0.679\pm0.031$ and the growth rate of structure$f(z_{\rm eff})\sigma_8(z_{\rm eff}) = 0.419\pm0.044$ at the effectiveredshift $z_{\rm eff}=0.57$. Combining our dataset with Planck to testGeneral Relativity (GR) through the simple $\gamma$-parameterisation,where the growth rate is given by $f(z) = \Omega^{\gamma}_m(z)$, revealsa $\sim 2\sigma$ tension between the data and the prediction by GR. Thetension between our result and GR can be traced back to a tension in theclustering amplitude $\sigma_8$ between CMASS and Planck.

Notes:

30 pages, 3 Tables, 17 Figures

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