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The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies

Héctor Gil-MarínInstitute of Cosmology & Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth PO1 3FX, UKWill J. PercivalInstitute of Cosmology & Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth PO1 3FX, UKLicia VerdeRadcliffe Institute for Advanced Study, Harvard University, MA 02138, USAJoel R. BrownsteinDepartment of Physics and Astronomy, University of Utah, 115 S 1400 E, Salt Lake City, UT 84112, USAChia-Hsun ChuangInstituto de Física Teórica (UAM/CSIC), Universidad Autónoma de Madrid, Cantoblanco, E-28049 Madrid, SpainFrancisco-Shu KitauraLeibniz-Institut für Astrophysik Potsdam (AIP), An der Sternwarte 16, D-14482 Potsdam, GermanySergio Rodríguez-TorresCampus of International Excellence UAM+CSIC & Departamento de Física Teórica, UAM, Cantoblanco, E-28049 Madrid, SpainMatthew D. OlmsteadDepartment of Chemistry and Physics, King's College, 133 North River St, Wilkes Barre, PA 18711, USA
2016en
ABI

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We measure and analyse the bispectrum of the final data release 12 (DR12), galaxy sample provided by the Baryon Oscillation Spectroscopic Survey, splitting by selection algorithm into LOWZ and CMASS galaxies. The LOWZ sample contains 361 762 galaxies with an effective redshift of <it>z</it><inf>LOWZ</inf> = 0.32, and the CMASS sample contains 777 202 galaxies with an effective redshift of <it>z</it><inf>CMASS</inf> = 0.57. Combining the power spectrum, measured relative to the line of sight, with the spherically averaged bispectrum, we are able to constrain the product of the growth of structure parameter, <it>f</it>, and the amplitude of dark matter density fluctuations, σ<inf>8</inf>, along with the geometric Alcock–Paczynski parameters, the product of the Hubble constant and the comoving sound horizon at the baryon drag epoch, <it>H</it>(<it>z</it>)<it>r</it><inf>s</inf>(<it>z</it><inf>d</inf>), and the angular distance parameter divided by the sound horizon, <it>D</it><inf>A</inf>(<it>z</it>)/<it>r</it><inf>s</inf>(<it>z</it><inf>d</inf>). After combining pre-reconstruction RSD analyses of the power spectrum monopole, quadrupole and bispectrum monopole with post-reconstruction analysis of the BAO power spectrum monopole and quadrupole, we find <it>f</it>(<it>z</it><inf>LOWZ</inf>)σ<inf>8</inf>(<it>z</it><inf>LOWZ</inf>) = 0.427 ± 0.056, <it>D</it><inf>A</inf>(<it>z</it><inf>LOWZ</inf>)/<it>r</it><inf>s</inf>(<it>z</it><inf>d</inf>) = 6.60 ± 0.13, <it>H</it>(<it>z</it><inf>LOWZ</inf>)<it>r</it><inf>s</inf>(<it>z</it><inf>d</inf>) = (11.55 ± 0.38)103 km s−1 for the LOWZ sample, and <it>f</it>(<it>z</it><inf>CMASS</inf>)σ<inf>8</inf>(<it>z</it><inf>CMASS</inf>) = 0.426 ± 0.029, <it>D</it><inf>A</inf>(<it>z</it><inf>CMASS</inf>)/<it>r</it><inf>s</inf>(<it>z</it><inf>d</inf>) = 9.39 ± 0.10, <it>H</it>(<it>z</it><inf>CMASS</inf>)<it>r</it><inf>s</inf>(<it>z</it><inf>d</inf>) = (14.02 ± 0.22)103 km s−1 for the CMASS sample. We find general agreement with previous Baryon Oscillation Spectroscopic Survey DR11 and DR12 measurements. Combining our data set with <it>Planck15</it> we perform a null test of General Relativity through the γ-parametrization finding <f>$\\gamma =0.733^{+0.068}_{-0.069}$</f>, which is ∼2.7σ away from the General Relativity predictions.

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