The three-dimensional power spectrum of galaxies from the sloan digital sky survey

Max Tegmark, Michael R. Blanton, Michael A. Strauss, Fiona Hoyle, David Schlegel, Roman Scoccimarro, Michael S. Vogeley, David H. Weinberg, Idit Zehavi, Andreas Berlind, Tamás Budavari, Andrew Connolly, Daniel J. Eisenstein, Douglas Finkbeiner, Joshua A. Frieman, James E. Gunn, Andrew J S Hamilton, Lam Hui, Bhuvnesh Jain, David Johnston & 45 others Stephen Kent, Huan Lin, Reiko Nakajima, Robert C. Nichol, Jeremiah P. Ostriker, Adrian Pope, Ryan Scranton, Uroš Seljak, Ravi K. Sheth, Albert Stebbins, Alexander S. Szalay, I. Szapudi, Licia Verde, Yongzhong Xu, James Annis, Neta A. Bahcall, J. Brinkmann, Scott Burles, Francisco J. Castander, I. Csabai, Jon Loveday, Mamoru Doi, Masataka Fukugita, J. Richard Gott, Greg Hennessy, David W. Hogg, Željko Ivezić, Gillian R. Knapp, Don Q. Lamb, Brian C. Lee, Robert H. Lupton, Timothy A. McKay, Peter Kunszt, Jeffrey A. Munn, Liam O'Connell, John Peoples, Jeffrey R. Pier, Michael Richmond, Constance Rockosi, Donald P. Schneider, Christopher Stoughton, Douglas L. Tucker, Daniel E. Vanden Berk, Brian Yanny, Donald G. York

Research output: Contribution to journalArticle

1218 Citations (Scopus)

Abstract

We measure the large-scale real-space power spectrum P(k) by using a sample of 205,443 galaxies from the Sloan Digital Sky Survey, covering 2417 effective square degrees with mean redshift z ≈ 0.1. We employ a matrix-based method using pseudo-Karhunen-Loève eigenmodes, producing uncorrelated minimum-variance measurements in 22 k-bands of both the clustering power and its anisotropy due to redshift-space distortions, with narrow and well-behaved window functions in the range 0.02 h Mpc-1 <k <0.3 h Mpc -1. We pay particular attention to modeling, quantifying, and correcting for potential systematic errors, nonlinear redshift distortions, and the artificial red-tilt caused by luminosity-dependent bias. Our results are robust to omitting angular and radial density fluctuations and are consistent between different parts of the sky. Our final result is a measurement of the real-space matter power spectrum P(k) up to an unknown overall multiplicative bias factor. Our calculations suggest that this bias factor is independent of scale to better than a few percent for k <0.1 h Mpc-1, thereby making our results useful for precision measurements of cosmological parameters in conjunction with data from other experiments such as the Wilkinson Microwave Anisotropy Probe satellite. The power spectrum is not well-characterized by a single power law but unambiguously shows curvature. As a simple characterization of the data, our measurements are well fitted by a flat scale-invariant adiabatic cosmological model with h Ωm = 0.213 ± 0.023 and σ8 = 0.89 ± 0.02 for L* galaxies, when fixing the baryon fraction Ωbm = 0.17 and the Hubble parameter h = 0.72; cosmological interpretation is given in a companion paper.

Original languageEnglish
Pages (from-to)702-740
Number of pages39
JournalAstrophysical Journal
Volume606
Issue number2 I
DOIs
Publication statusPublished - May 10 2004

Fingerprint

power spectra
galaxies
anisotropy
tilt
Microwave Anisotropy Probe
curvature
power law
probe
systematic errors
fixing
sky
baryons
matrix
coverings
luminosity
modeling
matrices
experiment
parameter
microwave

Keywords

  • Galaxies: statistics
  • Large-scale structure of universe
  • Methods: data analysis

ASJC Scopus subject areas

  • Space and Planetary Science
  • Nuclear and High Energy Physics

Cite this

Tegmark, M., Blanton, M. R., Strauss, M. A., Hoyle, F., Schlegel, D., Scoccimarro, R., ... York, D. G. (2004). The three-dimensional power spectrum of galaxies from the sloan digital sky survey. Astrophysical Journal, 606(2 I), 702-740. https://doi.org/10.1086/382125

The three-dimensional power spectrum of galaxies from the sloan digital sky survey. / Tegmark, Max; Blanton, Michael R.; Strauss, Michael A.; Hoyle, Fiona; Schlegel, David; Scoccimarro, Roman; Vogeley, Michael S.; Weinberg, David H.; Zehavi, Idit; Berlind, Andreas; Budavari, Tamás; Connolly, Andrew; Eisenstein, Daniel J.; Finkbeiner, Douglas; Frieman, Joshua A.; Gunn, James E.; Hamilton, Andrew J S; Hui, Lam; Jain, Bhuvnesh; Johnston, David; Kent, Stephen; Lin, Huan; Nakajima, Reiko; Nichol, Robert C.; Ostriker, Jeremiah P.; Pope, Adrian; Scranton, Ryan; Seljak, Uroš; Sheth, Ravi K.; Stebbins, Albert; Szalay, Alexander S.; Szapudi, I.; Verde, Licia; Xu, Yongzhong; Annis, James; Bahcall, Neta A.; Brinkmann, J.; Burles, Scott; Castander, Francisco J.; Csabai, I.; Loveday, Jon; Doi, Mamoru; Fukugita, Masataka; Gott, J. Richard; Hennessy, Greg; Hogg, David W.; Ivezić, Željko; Knapp, Gillian R.; Lamb, Don Q.; Lee, Brian C.; Lupton, Robert H.; McKay, Timothy A.; Kunszt, Peter; Munn, Jeffrey A.; O'Connell, Liam; Peoples, John; Pier, Jeffrey R.; Richmond, Michael; Rockosi, Constance; Schneider, Donald P.; Stoughton, Christopher; Tucker, Douglas L.; Vanden Berk, Daniel E.; Yanny, Brian; York, Donald G.

In: Astrophysical Journal, Vol. 606, No. 2 I, 10.05.2004, p. 702-740.

Research output: Contribution to journalArticle

Tegmark, M, Blanton, MR, Strauss, MA, Hoyle, F, Schlegel, D, Scoccimarro, R, Vogeley, MS, Weinberg, DH, Zehavi, I, Berlind, A, Budavari, T, Connolly, A, Eisenstein, DJ, Finkbeiner, D, Frieman, JA, Gunn, JE, Hamilton, AJS, Hui, L, Jain, B, Johnston, D, Kent, S, Lin, H, Nakajima, R, Nichol, RC, Ostriker, JP, Pope, A, Scranton, R, Seljak, U, Sheth, RK, Stebbins, A, Szalay, AS, Szapudi, I, Verde, L, Xu, Y, Annis, J, Bahcall, NA, Brinkmann, J, Burles, S, Castander, FJ, Csabai, I, Loveday, J, Doi, M, Fukugita, M, Gott, JR, Hennessy, G, Hogg, DW, Ivezić, Ž, Knapp, GR, Lamb, DQ, Lee, BC, Lupton, RH, McKay, TA, Kunszt, P, Munn, JA, O'Connell, L, Peoples, J, Pier, JR, Richmond, M, Rockosi, C, Schneider, DP, Stoughton, C, Tucker, DL, Vanden Berk, DE, Yanny, B & York, DG 2004, 'The three-dimensional power spectrum of galaxies from the sloan digital sky survey', Astrophysical Journal, vol. 606, no. 2 I, pp. 702-740. https://doi.org/10.1086/382125
Tegmark M, Blanton MR, Strauss MA, Hoyle F, Schlegel D, Scoccimarro R et al. The three-dimensional power spectrum of galaxies from the sloan digital sky survey. Astrophysical Journal. 2004 May 10;606(2 I):702-740. https://doi.org/10.1086/382125
Tegmark, Max ; Blanton, Michael R. ; Strauss, Michael A. ; Hoyle, Fiona ; Schlegel, David ; Scoccimarro, Roman ; Vogeley, Michael S. ; Weinberg, David H. ; Zehavi, Idit ; Berlind, Andreas ; Budavari, Tamás ; Connolly, Andrew ; Eisenstein, Daniel J. ; Finkbeiner, Douglas ; Frieman, Joshua A. ; Gunn, James E. ; Hamilton, Andrew J S ; Hui, Lam ; Jain, Bhuvnesh ; Johnston, David ; Kent, Stephen ; Lin, Huan ; Nakajima, Reiko ; Nichol, Robert C. ; Ostriker, Jeremiah P. ; Pope, Adrian ; Scranton, Ryan ; Seljak, Uroš ; Sheth, Ravi K. ; Stebbins, Albert ; Szalay, Alexander S. ; Szapudi, I. ; Verde, Licia ; Xu, Yongzhong ; Annis, James ; Bahcall, Neta A. ; Brinkmann, J. ; Burles, Scott ; Castander, Francisco J. ; Csabai, I. ; Loveday, Jon ; Doi, Mamoru ; Fukugita, Masataka ; Gott, J. Richard ; Hennessy, Greg ; Hogg, David W. ; Ivezić, Željko ; Knapp, Gillian R. ; Lamb, Don Q. ; Lee, Brian C. ; Lupton, Robert H. ; McKay, Timothy A. ; Kunszt, Peter ; Munn, Jeffrey A. ; O'Connell, Liam ; Peoples, John ; Pier, Jeffrey R. ; Richmond, Michael ; Rockosi, Constance ; Schneider, Donald P. ; Stoughton, Christopher ; Tucker, Douglas L. ; Vanden Berk, Daniel E. ; Yanny, Brian ; York, Donald G. / The three-dimensional power spectrum of galaxies from the sloan digital sky survey. In: Astrophysical Journal. 2004 ; Vol. 606, No. 2 I. pp. 702-740.
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T1 - The three-dimensional power spectrum of galaxies from the sloan digital sky survey

AU - Tegmark, Max

AU - Blanton, Michael R.

AU - Strauss, Michael A.

AU - Hoyle, Fiona

AU - Schlegel, David

AU - Scoccimarro, Roman

AU - Vogeley, Michael S.

AU - Weinberg, David H.

AU - Zehavi, Idit

AU - Berlind, Andreas

AU - Budavari, Tamás

AU - Connolly, Andrew

AU - Eisenstein, Daniel J.

AU - Finkbeiner, Douglas

AU - Frieman, Joshua A.

AU - Gunn, James E.

AU - Hamilton, Andrew J S

AU - Hui, Lam

AU - Jain, Bhuvnesh

AU - Johnston, David

AU - Kent, Stephen

AU - Lin, Huan

AU - Nakajima, Reiko

AU - Nichol, Robert C.

AU - Ostriker, Jeremiah P.

AU - Pope, Adrian

AU - Scranton, Ryan

AU - Seljak, Uroš

AU - Sheth, Ravi K.

AU - Stebbins, Albert

AU - Szalay, Alexander S.

AU - Szapudi, I.

AU - Verde, Licia

AU - Xu, Yongzhong

AU - Annis, James

AU - Bahcall, Neta A.

AU - Brinkmann, J.

AU - Burles, Scott

AU - Castander, Francisco J.

AU - Csabai, I.

AU - Loveday, Jon

AU - Doi, Mamoru

AU - Fukugita, Masataka

AU - Gott, J. Richard

AU - Hennessy, Greg

AU - Hogg, David W.

AU - Ivezić, Željko

AU - Knapp, Gillian R.

AU - Lamb, Don Q.

AU - Lee, Brian C.

AU - Lupton, Robert H.

AU - McKay, Timothy A.

AU - Kunszt, Peter

AU - Munn, Jeffrey A.

AU - O'Connell, Liam

AU - Peoples, John

AU - Pier, Jeffrey R.

AU - Richmond, Michael

AU - Rockosi, Constance

AU - Schneider, Donald P.

AU - Stoughton, Christopher

AU - Tucker, Douglas L.

AU - Vanden Berk, Daniel E.

AU - Yanny, Brian

AU - York, Donald G.

PY - 2004/5/10

Y1 - 2004/5/10

N2 - We measure the large-scale real-space power spectrum P(k) by using a sample of 205,443 galaxies from the Sloan Digital Sky Survey, covering 2417 effective square degrees with mean redshift z ≈ 0.1. We employ a matrix-based method using pseudo-Karhunen-Loève eigenmodes, producing uncorrelated minimum-variance measurements in 22 k-bands of both the clustering power and its anisotropy due to redshift-space distortions, with narrow and well-behaved window functions in the range 0.02 h Mpc-1 -1. We pay particular attention to modeling, quantifying, and correcting for potential systematic errors, nonlinear redshift distortions, and the artificial red-tilt caused by luminosity-dependent bias. Our results are robust to omitting angular and radial density fluctuations and are consistent between different parts of the sky. Our final result is a measurement of the real-space matter power spectrum P(k) up to an unknown overall multiplicative bias factor. Our calculations suggest that this bias factor is independent of scale to better than a few percent for k <0.1 h Mpc-1, thereby making our results useful for precision measurements of cosmological parameters in conjunction with data from other experiments such as the Wilkinson Microwave Anisotropy Probe satellite. The power spectrum is not well-characterized by a single power law but unambiguously shows curvature. As a simple characterization of the data, our measurements are well fitted by a flat scale-invariant adiabatic cosmological model with h Ωm = 0.213 ± 0.023 and σ8 = 0.89 ± 0.02 for L* galaxies, when fixing the baryon fraction Ωb/Ωm = 0.17 and the Hubble parameter h = 0.72; cosmological interpretation is given in a companion paper.

AB - We measure the large-scale real-space power spectrum P(k) by using a sample of 205,443 galaxies from the Sloan Digital Sky Survey, covering 2417 effective square degrees with mean redshift z ≈ 0.1. We employ a matrix-based method using pseudo-Karhunen-Loève eigenmodes, producing uncorrelated minimum-variance measurements in 22 k-bands of both the clustering power and its anisotropy due to redshift-space distortions, with narrow and well-behaved window functions in the range 0.02 h Mpc-1 -1. We pay particular attention to modeling, quantifying, and correcting for potential systematic errors, nonlinear redshift distortions, and the artificial red-tilt caused by luminosity-dependent bias. Our results are robust to omitting angular and radial density fluctuations and are consistent between different parts of the sky. Our final result is a measurement of the real-space matter power spectrum P(k) up to an unknown overall multiplicative bias factor. Our calculations suggest that this bias factor is independent of scale to better than a few percent for k <0.1 h Mpc-1, thereby making our results useful for precision measurements of cosmological parameters in conjunction with data from other experiments such as the Wilkinson Microwave Anisotropy Probe satellite. The power spectrum is not well-characterized by a single power law but unambiguously shows curvature. As a simple characterization of the data, our measurements are well fitted by a flat scale-invariant adiabatic cosmological model with h Ωm = 0.213 ± 0.023 and σ8 = 0.89 ± 0.02 for L* galaxies, when fixing the baryon fraction Ωb/Ωm = 0.17 and the Hubble parameter h = 0.72; cosmological interpretation is given in a companion paper.

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KW - Large-scale structure of universe

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