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We extract cosmological information from the anisotropic power spectrummeasurements from the recently completed Baryon Oscillation SpectroscopicSurvey (BOSS), extending the concept of clustering wedges to Fourier space.Making use of new FFT-based estimators, we measure the power spectrumclustering wedges of the BOSS sample by filtering out the information ofLegendre multipoles l > 4. Our modelling of these measurements is based onnovel approaches to describe non-linear evolution, bias, and redshift-spacedistortions, which we test using synthetic catalogues based on large-volumeN-body simulations. We are able to include smaller scales than in previousanalyses, resulting in tighter cosmological constraints. Using threeoverlapping redshift bins, we measure the angular diameter distance, the Hubbleparameter, and the cosmic growth rate, and explore the cosmologicalimplications of our full shape clustering measurements in combination with CMBand SN Ia data. Assuming a {\Lambda}CDM cosmology, we constrain the matterdensity to {\Omega}_m = 0.311 -0.010 +0.009 and the Hubble parameter to H_0 =67.6 -0.6 +0.7 km s^-1 Mpc^-1, at a confidence level (CL) of 68 per cent. Wealso allow for non-standard dark energy models and modifications of the growthrate, finding good agreement with the {\Lambda}CDM paradigm. For example, weconstrain the equation-of-state parameter to w = -1.019 -0.039 +0.048. Thispaper is part of a set that analyses the final galaxy clustering dataset fromBOSS. The measurements and likelihoods presented here are combined with othersin Alam et al. 2016 to produce the final cosmological constraints from BOSS.

monthly notices of the royal astronomical society

The clustering of galaxies in the completed SDSS-III Baryon Oscillation  Spectroscopic Survey: Cosmological implications of the Fourier space wedges  of the final sample