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Title: 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

Journal Article · · Monthly Notices of the Royal Astronomical Society
 [1];  [2];  [3];  [4];  [5];  [6];  [7];  [8]
  1. Sorbonne Univ, Paris (France). Inst. Lagrange de Paris; Univ. Pierre et Marie Curie, Paris (France). Lab. de Physique Nucleaire et de Hautes Energies; Univ. of Portsmouth (United Kingdom). Inst. of Cosmology & Gravitation
  2. Univ. of Portsmouth (United Kingdom). Inst. of Cosmology & Gravitaiton
  3. Harvard Univ., Cambridge, MA (United States). Radcliffe Inst. for Advanced Study; Univ. of Oslo (Norway). Inst. of Theoretical Astrophysics; Univ. de Barcelona (Spain). ICREA & Inst. de Ciencies del Cosmos
  4. Univ. of Utah, Salt Lake City, UT (United States). Dept. of Physics and Astronomy
  5. Leibniz Inst. fur Astrophysik Potsdam (AIP) (Germany); Univ. Autonoma de Madrid (Spain). Dept. de Fisica Teorica
  6. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Dept. of Physics and Astronomy; Leibniz Inst. fur Astrophysik Potsdam (AIP) (Germany)
  7. Univ. Autonoma de Madrid (Spain). Dept. de Fisica Teorica; Univ. Autonoma de Madrid (Spain). Dept. de Fisica Teorica, Campus of International Excellence
  8. King's College, PA (United States). Dept. of Chemistry and Physics

In this paper, 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 zLOWZ = 0.32, and the CMASS sample contains 777 202 galaxies with an effective redshift of zCMASS = 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, ƒ, and the amplitude of dark matter density fluctuations, σ8, along with the geometric Alcock–Paczynski parameters, the product of the Hubble constant and the comoving sound horizon at the baryon drag epoch, H(z)rs(zd), and the angular distance parameter divided by the sound horizon, DA(z)/rs(zd). 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 ƒ(zLOWZ)σ8(zLOWZ) = 0.427 ± 0.056, DA(zLOWZ)/rs(zd) = 6.60 ± 0.13, H(zLOWZ)rs(zd) = (11.55 ± 0.38)103 km s-1 for the LOWZ sample, and f(zCMASS)σ8(zCMASS) = 0.426 ± 0.029, DA(zCMASS)/rs(zd) = 9.39 ± 0.10, H(zCMASS)rs(zd) = (14.02 ± 0.22)103 km s-1 for the CMASS sample. In conclusion, we find general agreement with previous Baryon Oscillation Spectroscopic Survey DR11 and DR12 measurements. Combining our data set with Planck15 we perform a null test of General Relativity through the γ-parametrization finding γ=0.733$$ ^{+0.068}_{-0.069} $$, which is ∼2.7σ away from the General Relativity predictions.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1526271
Journal Information:
Monthly Notices of the Royal Astronomical Society, Vol. 465, Issue 2; ISSN 0035-8711
Publisher:
Royal Astronomical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 225 works
Citation information provided by
Web of Science

References (136)

Nonlinear statistics and biasing journal September 1986
The Sloan Digital Sky Survey Photometric Camera journal December 1998
The statistics of maxima in primordial density perturbations journal December 1985
Signatures of Horndeski gravity on the dark matter bispectrum journal May 2015
Skewness in large-scale structure and non-Gaussian initial conditions journal July 1994
The three-point correlation function of the cosmic microwave background in inflationary models journal July 1994
Towards an accurate model of the redshift-space clustering of haloes in the quasi-linear regime: Redshift-space distortions journal August 2011
Mock galaxy catalogues using the quick particle mesh method journal November 2013
Cosmological large-scale structures beyond linear theory in modified gravity journal June 2011
Statistical analysis of catalogs of extragalactic objects. VII - Two- and three-point correlation functions for the high-resolution Shane-Wirtanen catalog of galaxies journal October 1977
The [CLC][ITAL]u[/ITAL][/CLC][arcmin]′[CLC][ITAL]g[/ITAL][/CLC][arcmin]′[CLC][ITAL]r[/ITAL][/CLC][arcmin]′[CLC][ITAL]i[/ITAL][/CLC][arcmin]′[CLC][ITAL]z[/ITAL][/CLC][arcmin]′ Standard-Star System journal April 2002
Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions journal June 2016
Cosmic growth history and expansion history journal August 2005
The Multi-Object, Fiber-Fed Spectrographs for the Sloan Digital sky Survey and the Baryon Oscillation Spectroscopic Survey journal July 2013
The 2dF Galaxy Redshift Survey: the power spectrum and the matter content of the Universe journal November 2001
The Bispectrum: From Theory to Observations journal December 2000
Spectral Classification and Redshift Measurement for the Sdss-Iii Baryon Oscillation Spectroscopic Survey journal October 2012
The Sloan Digital Sky Survey Photometric System journal April 1996
The Bispectrum of IRAS Redshift Catalogs journal January 2001
The Galaxy correlation hierarchy in perturbation theory journal April 1984
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: analysis of potential systematics: Systematic analysis of BOSS 3D clustering journal June 2012
The WiggleZ Dark Energy Survey: constraining galaxy bias and cosmic growth with three-point correlation functions journal May 2013
Statistical analysis of catalogs of extragalactic objects. V - Three-point correlation function for the galaxy distribution in the Zwicky catalog journal February 1975
Power-spectrum analysis of three-dimensional redshift surveys journal May 1994
Planck 2015 results : XIII. Cosmological parameters journal September 2016
Baryonic Features in the Matter Transfer Function journal April 1998
Cosmology and the bispectrum journal July 2006
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the full shape of the clustering wedges in the data release 10 and 11 galaxy samples journal April 2014
Evidence for quadratic tidal tensor bias from the halo bispectrum journal October 2012
Baryon acoustic oscillations in 2D. II. Redshift-space halo clustering in N -body simulations journal August 2011
Measuring line-of-sight-dependent Fourier-space clustering using FFTs journal August 2015
PTHALOS: a fast method for generating mock galaxy distributions journal January 2002
Nonlinear Evolution of the Bispectrum of Cosmological Perturbations journal April 1998
Cosmological structure formation with augmented Lagrangian perturbation theory journal August 2013
The 6dF Galaxy Survey: z≈ 0 measurements of the growth rate and σ8: 6dFGS: z≈ 0 measurements of fσ8 and σ8 journal June 2012
Cosmology with anisotropic galaxy clustering from the combination of power spectrum and bispectrum journal August 2015
Gravity and large-scale nonlocal bias journal April 2012
Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS journal August 2009
The halo bispectrum in N-body simulations with non-Gaussian initial conditions: The halo bispectrum and non-Gaussian initial conditions journal September 2012
Lifting primordial non-Gaussianity above the noise journal August 2016
Lower Growth Rate from Recent Redshift Space Distortion Measurements than Expected from Planck journal October 2013
The VIMOS Public Extragalactic Redshift Survey (VIPERS): Galaxy clustering and redshift-space distortions at journal August 2013
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: testing gravity with redshift space distortions using the power spectrum multipoles journal July 2014
Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample journal February 2014
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measuring growth rate and geometry with anisotropic clustering journal February 2014
The power spectrum and bispectrum of SDSS DR11 BOSS galaxies – I. Bias and gravity journal May 2015
Measuring Omega and the real correlation function from the redshift correlation function journal January 1992
Why your model parameter confidences might be too optimistic. Unbiased estimation of the inverse covariance matrix journal December 2006
Matter bispectrum in cubic Galileon cosmologies journal March 2013
The Bispectrum as a Signature of Gravitational Instability in Redshift Space journal June 1999
The 2.5 m Telescope of the Sloan Digital Sky Survey journal April 2006
The evolution of large-scale structure in a universe dominated by cold dark matter journal May 1985
The Baryon Oscillation Spectroscopic Survey of Sdss-Iii journal December 2012
The non-linear redshift-space power spectrum of galaxies journal December 1998
Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum journal December 2014
An improved fitting formula for the dark matter bispectrum journal February 2012
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Data Releases 10 and 11 Galaxy samples journal April 2014
Biasing and hierarchical statistics in large-scale structure journal August 1993
The 2dF Galaxy Redshift Survey: the bias of galaxies and the density of the Universe journal September 2002
The statistics of peaks of Gaussian random fields journal May 1986
Transform analysis of the high-resolution Shane-Wirtanen Catalog - The power spectrum and the bispectrum journal August 1982
Large-scale bias in the Universe: bispectrum method journal October 1997
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: galaxy clustering measurements in the low-redshift sample of Data Release 11 journal April 2014
The Eleventh and Twelfth data Releases of the Sloan Digital sky Survey: Final data from Sdss-Iii journal July 2015
Correcting for the Alias Effect When Measuring the Power Spectrum Using a Fast Fourier Transform journal February 2005
A 2.5 per cent measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies journal August 2014
The bispectrum in the Effective Field Theory of Large Scale Structure journal May 2015
The power spectrum and bispectrum of SDSS DR11 BOSS galaxies – II. Cosmological interpretation journal July 2015
A Measurement of the Quadrupole Power Spectrum in the Clustering of the 2dF QSO Survey journal February 2006
Photometric Response Functions of the Sloan Digital sky Survey Imager journal March 2010
Large-scale bias in the Universe -- II. Redshift-space bispectrum journal November 1998
Constraints on Galaxy Bias, Matter Density, and Primordial Non-Gaussianity from the PSC z Galaxy Redshift Survey journal February 2001
Probing scalar tensor theories for gravity in redshift space journal July 2016
The WiggleZ Dark Energy Survey: joint measurements of the expansion and growth history at z < 1 : WiggleZ Survey: expansion history journal July 2012
Fast estimators for redshift-space clustering journal October 2015
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: BAO measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies journal May 2016
Velocity bias from the small-scale clustering of SDSS-III BOSS galaxies journal November 2014
Baryon acoustic oscillations in 2D: Modeling redshift-space power spectrum from perturbation theory journal September 2010
Non-local bias in the halo bispectrum with primordial non-Gaussianity journal July 2015
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: a large sample of mock galaxy catalogues journal October 2012
Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space journal November 2012
One-loop perturbative corrections to the matter and galaxy bispectrum with non-Gaussian initial conditions journal December 2009
Large-scale structure, the cosmic microwave background and primordial non-Gaussianity journal March 2000
Sdss-Iii: Massive Spectroscopic Surveys of the Distant Universe, the Milky way, and Extra-Solar Planetary Systems journal August 2011
Dark matter and halo bispectrum in redshift space: theory and applications journal December 2014
An evolution free test for non-zero cosmological constant journal October 1979
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies journal May 2016
THE CLUSTERING OF MASSIVE GALAXIES AT z ∼ 0.5 FROM THE FIRST SEMESTER OF BOSS DATA journal January 2011
The clustering of the SDSS main galaxy sample – II. Mock galaxy catalogues and a measurement of the growth of structure from redshift space distortions at z = 0.15 journal March 2015
Gravity, bias, and the galaxy three-point correlation function journal July 1994
Testing general relativity with growth rate measurement from Sloan Digital Sky Survey – III. Baryon Oscillations Spectroscopic Survey galaxies journal August 2015
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the BOSS Final Data Release journal January 2016
Constraining the halo bispectrum in real and redshift space from perturbation theory and non-linear stochastic bias journal April 2015
The bispectrum of f ( R ) cosmologies journal November 2011
SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 12: galaxy target selection and large-scale structure catalogues journal November 2015
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements and the strong power of f(z) 8(z) on constraining dark energy journal July 2013
Bias and variance of angular correlation functions journal July 1993
The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications journal September 2005
Clustering in real space and in redshift space journal July 1987
Three-point correlations in f ( R ) models of gravity journal May 2009
The matter bispectrum in N-body simulations with non-Gaussian initial conditions: The matter bispectrum and NG initial conditions journal May 2010
Detection of the Baryon Acoustic Peak in the Large‐Scale Correlation Function of SDSS Luminous Red Galaxies journal November 2005
Including parameter dependence in the data and covariance for cosmological inference journal December 2015
The VIMOS Public Extragalactic Redshift Survey (VIPERS): Ω m 0 from the galaxy clustering ratio measured at z ~ 1⋆ journal February 2014
Planck 2015 results : XXIII. The thermal Sunyaev-Zeldovich effect-cosmic infrared background correlation journal September 2016
The non-linear redshift-space power spectrum of galaxies journal December 1998
Constraints on Galaxy Bias, Matter Density, and Primordial Non-Gaussianity from the PSCz Galaxy Redshift Survey text January 2001
The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final data set and cosmological implications text January 2005
Planck 2015 results : X. Diffuse component separation: Foreground maps journal September 2016
The VIMOS Public Extragalactic Redshift Survey (VIPERS): A precise measurement of the galaxy stellar mass function and the abundance of massive galaxies at redshifts 0.5 < z < 1.3⋆ journal September 2013
Planck 2015 results : XVI. Isotropy and statistics of the CMB journal September 2016
Cosmological Large-scale Structures beyond Linear Theory in Modified Gravity text January 2011
The Bispectrum of f(R) Cosmologies text January 2011
The Baryon Oscillation Spectroscopic Survey of SDSS-III text January 2012
Cosmological Structure Formation with Augmented Lagrangian Perturbation Theory text January 2012
The VIMOS Public Extragalactic Redshift Survey (VIPERS). Galaxy clustering and redshift-space distortions at z=0.8 in the first data release text January 2013
Mock galaxy catalogs using the quick particle mesh method text January 2013
Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample text January 2013
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples text January 2013
Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum text January 2014
The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity text January 2014
The power spectrum and bispectrum of SDSS DR11 BOSS galaxies II: cosmological interpretation text January 2014
Planck 2015 results. XIII. Cosmological parameters text January 2015
Non-local bias in the halo bispectrum with primordial non-Gaussianity text January 2015
Fast Estimators for Redshift-Space Clustering text January 2015
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: BAO measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies text January 2015
SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 12: galaxy target selection and large scale structure catalogues preprint January 2015
Constraints on Galaxy Bias, Matter Density, and Primordial Non--Gausianity from the PSCz Galaxy Redshift Survey text January 2000
The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications text January 2005
The 2.5 m Telescope of the Sloan Digital Sky Survey text January 2006
Baryonic Features in the Matter Transfer Function text January 1997
Large-scale bias in the Universe II: redshift space bispectrum text January 1998
The Bispectrum as a Signature of Gravitational Instability in Redshift-Space text January 1998
The Sloan Digital Sky Survey Photometric Camera text January 1998
Large-scale structure, the cosmic microwave background, and primordial non-gaussianity text January 1999
Evidence for quadratic tidal tensor bias from the halo bispectrum text January 2012

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