The 2dF Galaxy Redshift Survey: the amplitudes of fluctuations in the 2dFGRS and the CMB, and implications for galaxy biasing
Corresponding Author
Ofer Lahav
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
[email protected]Search for more papers by this authorSarah L. Bridle
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
Search for more papers by this authorWill J. Percival
Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ
Search for more papers by this authorJohn A. Peacock
Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ
Search for more papers by this authorGeorge Efstathiou
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
Search for more papers by this authorCarlton M. Baugh
Department of Physics, University of Durham, South Road, Durham DH1 3LE
Search for more papers by this authorJoss Bland-Hawthorn
Anglo-Australian Observatory, PO Box 296, Epping, NSW 2121, Australia
Search for more papers by this authorTerry Bridges
Anglo-Australian Observatory, PO Box 296, Epping, NSW 2121, Australia
Search for more papers by this authorRussell Cannon
Anglo-Australian Observatory, PO Box 296, Epping, NSW 2121, Australia
Search for more papers by this authorShaun Cole
Department of Physics, University of Durham, South Road, Durham DH1 3LE
Search for more papers by this authorMatthew Colless
Research School of Astronomy and Astrophysics, The Australian National University, Weston Creek, ACT 2611, Australia
Search for more papers by this authorChris Collins
Astrophysics Research Institute, Liverpool John Moores University, Twelve Quays House, Birkenhead L14 1LD
Search for more papers by this authorWarrick Couch
Department of Astrophysics, University of New South Wales, Sydney, NSW 2052, Australia
Search for more papers by this authorGavin Dalton
Department of Physics, University of Oxford, Keble Road, Oxford OX1 3RH
Search for more papers by this authorRoberto De Propris
Department of Astrophysics, University of New South Wales, Sydney, NSW 2052, Australia
Search for more papers by this authorSimon P. Driver
School of Physics and Astronomy, University of St Andrews, North Haugh, St Andrews, Fife KY6 9SS
Search for more papers by this authorRichard S. Ellis
Department of Astronomy, California Institute of Technology, Pasadena, CA 91125, USA
Search for more papers by this authorCarlos S. Frenk
Department of Physics, University of Durham, South Road, Durham DH1 3LE
Search for more papers by this authorKarl Glazebrook
Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218-2686, USA
Search for more papers by this authorCarole Jackson
Research School of Astronomy and Astrophysics, The Australian National University, Weston Creek, ACT 2611, Australia
Search for more papers by this authorIan Lewis
Department of Physics, University of Oxford, Keble Road, Oxford OX1 3RH
Search for more papers by this authorStuart Lumsden
Department of Physics, University of Leeds, Woodhouse Lane, Leeds LS2 9JT
Search for more papers by this authorSteve Maddox
School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD
Search for more papers by this authorDarren S. Madgwick
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
Search for more papers by this authorStephen Moody
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
Search for more papers by this authorPeder Norberg
Department of Physics, University of Durham, South Road, Durham DH1 3LE
Search for more papers by this authorBruce A. Peterson
Research School of Astronomy and Astrophysics, The Australian National University, Weston Creek, ACT 2611, Australia
Search for more papers by this authorWill Sutherland
Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ
Search for more papers by this authorKeith Taylor
Department of Astronomy, California Institute of Technology, Pasadena, CA 91125, USA
Search for more papers by this authorCorresponding Author
Ofer Lahav
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
[email protected]Search for more papers by this authorSarah L. Bridle
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
Search for more papers by this authorWill J. Percival
Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ
Search for more papers by this authorJohn A. Peacock
Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ
Search for more papers by this authorGeorge Efstathiou
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
Search for more papers by this authorCarlton M. Baugh
Department of Physics, University of Durham, South Road, Durham DH1 3LE
Search for more papers by this authorJoss Bland-Hawthorn
Anglo-Australian Observatory, PO Box 296, Epping, NSW 2121, Australia
Search for more papers by this authorTerry Bridges
Anglo-Australian Observatory, PO Box 296, Epping, NSW 2121, Australia
Search for more papers by this authorRussell Cannon
Anglo-Australian Observatory, PO Box 296, Epping, NSW 2121, Australia
Search for more papers by this authorShaun Cole
Department of Physics, University of Durham, South Road, Durham DH1 3LE
Search for more papers by this authorMatthew Colless
Research School of Astronomy and Astrophysics, The Australian National University, Weston Creek, ACT 2611, Australia
Search for more papers by this authorChris Collins
Astrophysics Research Institute, Liverpool John Moores University, Twelve Quays House, Birkenhead L14 1LD
Search for more papers by this authorWarrick Couch
Department of Astrophysics, University of New South Wales, Sydney, NSW 2052, Australia
Search for more papers by this authorGavin Dalton
Department of Physics, University of Oxford, Keble Road, Oxford OX1 3RH
Search for more papers by this authorRoberto De Propris
Department of Astrophysics, University of New South Wales, Sydney, NSW 2052, Australia
Search for more papers by this authorSimon P. Driver
School of Physics and Astronomy, University of St Andrews, North Haugh, St Andrews, Fife KY6 9SS
Search for more papers by this authorRichard S. Ellis
Department of Astronomy, California Institute of Technology, Pasadena, CA 91125, USA
Search for more papers by this authorCarlos S. Frenk
Department of Physics, University of Durham, South Road, Durham DH1 3LE
Search for more papers by this authorKarl Glazebrook
Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218-2686, USA
Search for more papers by this authorCarole Jackson
Research School of Astronomy and Astrophysics, The Australian National University, Weston Creek, ACT 2611, Australia
Search for more papers by this authorIan Lewis
Department of Physics, University of Oxford, Keble Road, Oxford OX1 3RH
Search for more papers by this authorStuart Lumsden
Department of Physics, University of Leeds, Woodhouse Lane, Leeds LS2 9JT
Search for more papers by this authorSteve Maddox
School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD
Search for more papers by this authorDarren S. Madgwick
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
Search for more papers by this authorStephen Moody
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
Search for more papers by this authorPeder Norberg
Department of Physics, University of Durham, South Road, Durham DH1 3LE
Search for more papers by this authorBruce A. Peterson
Research School of Astronomy and Astrophysics, The Australian National University, Weston Creek, ACT 2611, Australia
Search for more papers by this authorWill Sutherland
Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ
Search for more papers by this authorKeith Taylor
Department of Astronomy, California Institute of Technology, Pasadena, CA 91125, USA
Search for more papers by this author1 As shown in P01, the likelihood analysis gives a second (non-standard) solution, with Ωm h∼0.6, and the baryon fraction Ωb/Ωm=0.4, which generates baryonic ‘wiggles’. We ignore this case in the present analysis and use the likelihood function over the range 0.1<Ωm h<0.3, 0.0<Ωb/Ωm<0.4, 0.4<h<0.9 and . We also note that, even if there are features in the primordial power spectrum, they would get washed out by the 2dFGRS window function ( Elgaroy, Gramann & Lahav 2002).
2 We emphasize again that here σ8g is the linear-theory normalization, not the observed non-linear σ8gNL. For example, the 2dFGRS correlation function of Norberg et al. (2001a) can be translated to a non-linear , at an effective redshift of approximately 0.07. In practice, non-linear corrections to σ8 are expected to be relatively small for CDM-like spectra (see Fig. 1).
3 More precisely, the redshift-space distortion factor depends on the auto power spectra Pmm(k) and Pgg(k) for the mass and the galaxies, and on the mass–galaxies cross power spectrum Pmg(k) ( Pen 1998; Dekel & Lahav 1999; Tegmark et al. 2001). The model of equations (3)–(5) is only valid for a scale-independent bias factor b that obeys Pgg(k)=bPmg(k)=b2Pmm(k).
Abstract
We compare the amplitudes of fluctuations probed by the 2dF Galaxy Redshift Survey (2dFGRS) and by the latest measurements of the cosmic microwave background (CMB) anisotropies. By combining the 2dFGRS and CMB data, we find the linear-theory rms mass fluctuations in 8 h−1 Mpc spheres to be σ8m=0.73±0.05 (after marginalization over the matter density parameter Ωm and three other free parameters). This normalization is lower than the COBE normalization and previous estimates from cluster abundance, but it is in agreement with some revised cluster abundance determinations. We also estimate the scale-independent bias parameter of present-epoch Ls=1.9L∗ APM-selected galaxies to be b(Ls,z=0)=1.10±0.08 on comoving scales of 0.02<k<0.15 h Mpc-1. If luminosity segregation operates on these scales, L∗ galaxies would be almost unbiased, b (L*, z=0)≈0.96. These results are derived by assuming a flat ΛCDM Universe, and by marginalizing over other free parameters and fixing the spectral index n=1 and the optical depth due to reionization τ=0. We also study the best-fitting pair (Ωm, b), and the robustness of the results to varying n and τ. Various modelling corrections can each change the resulting b by 5–15 per cent. The results are compared with other independent measurements from the 2dFGRS itself, and from the Sloan Digital Sky Survey (SDSS), cluster abundance and cosmic shear.
Acknowledgments
- 1 Bacon D. J., Massey R. J., Refregier A. R., Ellis R. S., 2002, MNRAS, submitted, astro-ph/0203134
- 2 Bahcall N. A., Ostriker J. P., Perlmutter S., Steinhardt P. J., 1999, Sci, 284, 148
- 3 Becker R. H. et al., 2001, ApJ, in press, astro-ph/0108097
- 4 Benson A. J., Cole S., Frenk C. S., Baugh C. M., Lacey C. G., 2000, MNRAS, 311, 793
- 5 Blanton M., Cen R., Ostriker J. P., Strauss M. A., Tegmark M., 2000, ApJ, 531, 1
- 6 Bridle S. L., Eke V. R., Lahav O., Lasenby A. N., Hobson M. P., Cole S., Frenk C. S., Henry J. P., 1999, MNRAS, 310, 565
- 7 Bridle S. L., Zehavi I., Dekel A., Lahav O., Hobson M. P., Lasenby A. N., 2001a, MNRAS, 321, 333
- 8 Bridle S. L., Crittenden R., Melchiorri A., Hobson M. P., Kneissl R., Lasenby A., 2001b, MNRAS, submitted, astro-ph/0112114
- 9 Bunn E. F., White M., 1997, ApJ, 480, 6
- 10
Colless M. et al., 2001, MNRAS, 328, 1039
10.1046/j.1365-8711.2001.04902.x Google Scholar
- 11 De Bernardis P. et al., 2002, ApJ, 564, 559
- 12
Dekel A.,
Lahav O., 1999, ApJ, 520, 24
10.1086/307428 Google Scholar
- 13 Dodelson S. et al., 2001, ApJ, submitted, astro-ph/0107421
- 14 Dressler A., 1980, ApJ, 236, 351
- 15 Efstathiou G. et al., 2002, MNRAS, 330, 29 (E02)
- 16 Eisenstein D. J., Hu W., 1998, ApJ, 496, 605
- 17 Eke V. R., Cole S., Frank C. S., Henry P. J., 1998, MNRAS, 298, 1145
- 18 Elgaroy O., Gramann M., Lahav O., 2002, MNRAS, 333, 93
- 19 Fan X. et al., 2002, AJ, 123, 1247
- 20 Feldman H. A., Kaiser N., Peacock J. A., 1994, ApJ, 426, 23 (FKP)
- 21
Freedman W. L. et al., 2001, ApJ, 553, 47
10.1086/320638 Google Scholar
- 22 Fry J. N., 1996, ApJ, 461, L65
- 23 Gawiser E., 2000, Proc. PASCOS99 Conf., astro-ph/0005475
- 24 Griffiths L., Liddle A., 2001, MNRAS, 324, 769DOI: 10.1046/j.1365-8711.2001.04403.x
- 25 Halverson N. W. et al., 2002, ApJ, 568, 38
- 26 Hancock S., Rocha G., Lasenby A. N., Gutierrez C. M., 1998, MNRAS, 294, L1DOI: 10.1046/j.1365-8711.1998.01169.x
- 27 Hermit S., Santiago B. X., Lahav O., Strauss M. A., Davis M., Dressler A., Huchra J. P., 1996, MNRAS, 283, 709
- 28 Hu W., Eisenstein D. J., Tegmark M., 1998, Phys. Rev. Lett., 80, 5255DOI: 10.1103/physrevlett.80.5255
- 29 Jaffe A. et al., 2001, Phys. Rev. Lett., 86, 3475DOI: 10.1103/physrevlett.86.3475
- 30
Kaiser N., 1987, MNRAS, 227, 1
10.1093/mnras/227.1.1 Google Scholar
- 31
Kauffmann G.,
Colberg J. M.,
Diaferio A.,
White S. D. M., 1999, MNRAS, 303, 188DOI: 10.1046/j.1365-8711.1999.02202.x
10.1046/j.1365-8711.1999.02202.x Google Scholar
- 32 Lahav O., Bridle S. L., Hobson M. P., Lasenby A. L., Sodré L., 2000, MNRAS, 315, L45DOI: 10.1046/j.1365-8711.2000.03633.x
- 33 Lee A. T. et al., 2001, ApJ, 561, L1
- 34 Madgwick D. S. et al., 2002, MNRAS, 333, 133
- 35
Magliocchetti M.,
Bagla J.,
Maddox S. J.,
Lahav O., 1999, MNRAS, 314, 546DOI: 10.1046/j.1365-8711.2000.03314.x
10.1046/j.1365-8711.2000.03314.x Google Scholar
- 36 Matarrese S., Coles P., Lucchin F., Moscardini L., 1997, MNRAS, 286, 95
- 37 Mo H. J., White S. D. M., 1996, MNRAS, 282, 347
- 38 Netterfield C. B. et al., 2001, ApJ, in press, astro-ph/0104460
- 39 Norberg P. et al., 2001a, MNRAS, 328, 64DOI: 10.1046/j.1365-8711.2001.04839.x
- 40 Norberg P. et al., 2001b, MNRAS, submitted, astro-ph/0111011
- 41 Norberg P. et al., 2002, MNRAS, 332, 827
- 42 O'Meara J. M. et al., 2001, ApJ, 552, 718
- 43 Peacock J. A. et al., 2001, Nat, 410, 169
- 44 Peebles P. J. E., 1980, Large Scale Structure of the Universe. Princeton Univ. Press, Princeton, NJ
- 45 Pen U., 1998, ApJ, 504, 601
- 46
Percival W. J. et al., 2001, MNRAS, 327, 1297
(P01)DOI: 10.1046/j.1365-8711.2001.04827.x
10.1046/j.1365-8711.2001.04827.x Google Scholar
- 47 Pierpaoli E., Scott D., White M., 2001, MNRAS, 325, 77DOI: 10.1046/j.1365-8711.2001.04306.x
- 48 Pryke C. et al., 2002, ApJ, 568, 46
- 49 Reiprich T. H., Boehringer H., 2002, ApJ, 567, 716
- 50 Rhodes J., Refregier A., Groth E. J., 2001, ApJ, submitted, astro-ph/0101213
- 51 Seljak U., 2001, MNRAS, submitted, astro-ph/0111362
- 52 Seljak U., Zaldarriaga M., 1996, ApJ, 469, 437
- 53 Shepherd C. W. et al., 2001, ApJ, 560, 72
- 54 Sigad Y., Branchini E., Dekel A., 1999, ApJ, 520, 24
- 55 Somerville R., Lemson G., Sigad Y., Dekel A., Colberg J., Kauffmann G., White S. D. M., 2001, MNRAS, 320, 289DOI: 10.1046/j.1365-8711.2001.03894.x
- 56 Stompor R. et al., 2001, ApJ, 561, L7
- 57 Sutherland W. et al., 1999, MNRAS, 308, 289DOI: 10.1046/j.1365-8711.1999.02472.x
- 58 Szalay A. S. et al., 2001, ApJ, submitted, astro-ph/0107419
- 59 Tegmark M., Hamilton A. J. S., Xu Y., 2001, MNRAS, submitted, astro-ph/0111575
- 60 Van Waerbeke L. et al., 2001, A&A, submitted, astro-ph/0101511
- 61 Verde L. et al., 2001, MNRAS, in press, astro-ph/0112161
- 62 Viana P. T. P., Nichol R. C., Liddle A. R., 2002, ApJ, 569, L75
- 63 Vittorio N., Silk J., 1991, ApJ, 385, L9
- 64 Wang X., Tegmark M., Zaldarriaga M., 2001, Phys. Rev. D, in press, astro-ph/0105091 (WTZ)
- 65 Webster M., Bridle S. L., Hobson M. P., Lasenby A. N., Lahav O., Rocha G., 1998, ApJ, 509, L65
- 66 Zehavi I. et al., 2001, ApJ, in press, astro-ph/0106476
The 2dF Galaxy Redshift Survey was made possible through the dedicated efforts of the staff of the Anglo–Australian Observatory, both in creating the 2dF instrument and in supporting it on the telescope. We thank Oystein Elgaroy, Andrew Firth and Jerry Ostriker for helpful discussions.
Acknowledgments
This paper has been typeset from a tex/latex file prepared by the author.
