@article {604562, title = {The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Fourier space}, journal = {Monthly Notices of the Royal Astronomical Society}, volume = {464}, year = {2017}, month = {January 1, 2017}, pages = {3409-3430}, abstract = {We analyse the baryon acoustic oscillation (BAO) signal of the finalBaryon Oscillation Spectroscopic Survey (BOSS) data release (DR12). Ouranalysis is performed in the Fourier space, using the power spectrummonopole and quadrupole. The data set includes 1198 006 galaxies overthe redshift range 0.2 < z < 0.75. We divide this data set intothree (overlapping) redshift bins with the effective redshiftszeff = 0.38, 0.51 and 0.61. We demonstrate the reliability ofour analysis pipeline using N-body simulations as well as \~{}1000MultiDark-Patchy mock catalogues that mimic the BOSS-DR12 targetselection. We apply density field reconstruction to enhance the BAOsignal-to-noise ratio. By including the power spectrum quadrupole we canseparate the line of sight and angular modes, which allows us toconstrain the angular diameter distance DA(z) and the Hubbleparameter H(z) separately. We obtain two independent 1.6 and 1.5 percent constraints on DA(z) and 2.9 and 2.3 per centconstraints on H(z) for the low (zeff = 0.38) and high(zeff = 0.61) redshift bin, respectively. We obtain twoindependent 1 and 0.9 per cent constraints on the angular averageddistance DV(z), when ignoring the Alcock-Paczynski effect.The detection significance of the BAO signal is of the order of 8σ(post-reconstruction) for each of the three redshift bins. Our resultsare in good agreement with the Planck prediction within Λ colddark matter. This paper is part of a set that analyses the final galaxyclustering data set from BOSS. The measurements and likelihoodspresented here are combined with others in Alam et al. to produce thefinal cosmological constraints from BOSS.}, keywords = {gravitation; surveys; cosmological parameters; cosmology: observations; dark energy; large-scale structure of Universe}, isbn = {0035-8711}, url = {http://adsabs.harvard.edu/abs/2017MNRAS.464.3409B}, author = {Beutler, Florian and Seo, Hee-Jong and Ashley J. Ross and McDonald, Patrick and Saito, Shun and Bolton, Adam S. and Brownstein, Joel R. and Chuang, Chia-Hsun and Antonio J. Cuesta and Daniel J. Eisenstein and Font-Ribera, Andreu and Niklas Grieb, Jan and Hand, Nick and Francisco-Shu Kitaura and Modi, Chirag and Robert C. Nichol and Will J. Percival and Prada, Francisco and Rodriguez-Torres, Sergio and Roe, Natalie A. and Ross, Nicholas P. and Salazar-Albornoz, Salvador and S{\'a}nchez, Ariel G. and Schneider, Donald P. and Slosar, An{\v z}e and Tinker, Jeremy and Tojeiro, Rita and Vargas-Maga{\~n}a, Mariana and Vazquez, Jose A.} }