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Submillimetre galaxies reside in dark matter haloes with masses greater than 3 × 1011 solar masses


The extragalactic background light at far-infrared wavelengths1,2,3 comes from optically faint, dusty, star-forming galaxies in the Universe with star formation rates of a few hundred solar masses per year4. These faint, submillimetre galaxies are challenging to study individually because of the relatively poor spatial resolution of far-infrared telescopes5,6. Instead, their average properties can be studied using statistics such as the angular power spectrum of the background intensity variations7,8,9,10. A previous attempt11 at measuring this power spectrum resulted in the suggestion that the clustering amplitude is below the level computed with a simple ansatz based on a halo model12. Here we report excess clustering over the linear prediction at arcminute angular scales in the power spectrum of brightness fluctuations at 250, 350 and 500 μm. From this excess, we find that submillimetre galaxies are located in dark matter haloes with a minimum mass, Mmin, such that log10[Mmin/M] = at 350 μm, where M is the solar mass. This minimum dark matter halo mass corresponds to the most efficient mass scale for star formation in the Universe13, and is lower than that predicted by semi-analytical models for galaxy formation14.

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Figure 1: The two-dimensional power spectrum of the Herschel map.
Figure 2: Far-infrared bolometric luminosity density (8–1,110 μm) and star formation rate (SFR) as a function of redshift.


  1. Puget, J.-L. et al. Tentative detection of a cosmic far-infrared background with COBE. Astron. Astrophys. 308, L5–L8 (1996)

    ADS  Google Scholar 

  2. Fixsen, D. J., Dwek, E., Mather, J. C., Bennett, C. L. & Shafer, R. A. The spectrum of the extragalactic far-infrared background from the COBE FIRAS observations. Astrophys. J. 508, 123–128 (1998)

    Article  ADS  Google Scholar 

  3. Dwek, E. et al. The COBE Diffuse Infrared Background Experiment Search for the cosmic infrared background. IV. Cosmological implications. Astrophys. J. 508, 106–122 (1998)

    Article  ADS  Google Scholar 

  4. Hughes, D. et al. High-redshift star formation in the Hubble Deep Field revealed by a submillimetre-wavelength survey. Nature 394, 241–247 (1998)

    CAS  Article  ADS  Google Scholar 

  5. Nguyen, H. T. et al. HerMES: the SPIRE confusion limit. Astron. Astrophys. 518, L5 (2010)

    Article  ADS  Google Scholar 

  6. Hauser, M. G. & Dwek, E. The cosmic infrared background: measurements and implications. Annu. Rev. Astron. Astrophys. 39, 249–307 (2001)

    CAS  Article  ADS  Google Scholar 

  7. Amblard, A. & Cooray, A. Anisotropy studies of the unresolved far-infrared background. Astrophys. J. 670, 903–911 (2007)

    CAS  Article  ADS  Google Scholar 

  8. Haiman, Z. & Knox, L. Correlations in the far-infrared background. Astrophys. J. 530, 124–132 (2000)

    Article  ADS  Google Scholar 

  9. Knox, L., Cooray, A., Eisenstein, D. & Haiman, Z. Probing early structure formation with far-infrared background correlations. Astrophys. J. 550, 7–20 (2001)

    Article  ADS  Google Scholar 

  10. Negrello, M. et al. Astrophysical and cosmological information from large-scale submillimetre surveys of extragalactic sources. Mon. Not. R. Astron. Soc. 377, 1557–1568 (2007)

    Article  ADS  Google Scholar 

  11. Viero, M. P. et al. BLAST: correlations in the cosmic far-infrared background at 250, 350, and 500 μm reveal clustering of star-forming galaxies. Astrophys. J. 707, 1766–1778 (2009)

    Article  ADS  Google Scholar 

  12. Cooray, A. & Sheth, R. Halo models of large scale structure. Phys. Rep. 372, 1–129 (2002)

    Article  ADS  Google Scholar 

  13. Bouché, N. et al. The impact of cold gas accretion above a mass floor on galaxy scaling relations. Astrophys. J. 718, 1001–1018 (2010)

    Article  ADS  Google Scholar 

  14. Gonzalez, J. E., Lacey, C. G., Baugh, C. M. & Frenk, C. S. The role of submillimetre galaxies in hierarchical galaxy formation. Mon. Not. R. Astron. Soc.. (submitted); preprint at 〈〉 (2010)

  15. Devlin, J. M. et al. Over half of the far-infrared background light comes from galaxies at z ≥ 1.2. Nature 458, 737–739 (2009)

    CAS  Article  ADS  Google Scholar 

  16. Dole, H. et al. The cosmic infrared background resolved by Spitzer. Contributions of mid-infrared galaxies to the far-infrared background. Astron. Astrophys. 451, 417–429 (2006)

    CAS  Article  ADS  Google Scholar 

  17. Marsden, G. et al. BLAST: resolving the cosmic submillimeter background. Astrophys. J. 707, 1729–1739 (2009)

    Article  ADS  Google Scholar 

  18. Oliver, S. et al. HerMES: SPIRE galaxy number counts at 250, 350 and 500 microns. Astron. Astrophys. 518, L21 (2010)

    Article  ADS  Google Scholar 

  19. Griffin, M. J. et al. The Herschel-SPIRE instrument and its in-flight performance. Astron. Astrophys. 518, L3 (2010)

    Article  ADS  Google Scholar 

  20. Pilbratt, G. et al. Herschel Space Observatory – an ESA facility for far-infrared and submillimetre astronomy. Astron. Astrophys. 518, L1 (2010)

    Article  ADS  Google Scholar 

  21. Swinyard, B. et al. In-flight calibration of the Herschel-SPIRE instrument. Astron. Astrophys. 518, L4 (2010)

    Article  ADS  Google Scholar 

  22. Lagache, G. et al. Correlated anisotropies in the cosmic far-infrared background detected by the multiband imaging photometer for Spitzer: constraint on the bias. Astrophys. J. 665, L89–L92 (2007)

    CAS  Article  ADS  Google Scholar 

  23. Schlegel, D. J., Finkbeiner, D. P. & Davis, M. Maps of dust infrared emission for use in estimation of reddening and cosmic microwave background radiation foregrounds. Astrophys. J. 500, 525–534 (1998)

    Article  ADS  Google Scholar 

  24. Cooray, A. HerMES: halo occupation number and bias properties of dusty galaxies from angular clustering measurements. Astron. Astrophys. 518, L22 (2010)

    Article  ADS  Google Scholar 

  25. Maddox, S. J. et al. Herschel ATLAS: the angular correlation function of submillimetre galaxies at high and low redshift. Astron. Astrophys. 518, L11 (2010)

    Article  ADS  Google Scholar 

  26. Lagache, G., Dole, H. & Puget, J.-L. Modelling the infrared galaxy evolution using a phenomenological approach. Mon. Not. R. Astron. Soc. 338, 555–571 (2003)

    Article  ADS  Google Scholar 

  27. Valiante, E. et al. A backward evolution model for infrared surveys: the role of AGN- and color-LTIR distributions. Astrophys. J. 701, 1814–1838 (2009)

    CAS  Article  ADS  Google Scholar 

  28. Glenn, J. et al. HerMES: deep galaxy number counts from a P(D) fluctuation analysis of SPIRE Science Demonstration Phase observations. Mon. Not. R. Astron. Soc. 409, 109–121 (2010)

    CAS  Article  ADS  Google Scholar 

  29. Amblard, A. et al. Herschel-ATLAS: dust temperature and redshift distribution of SPIRE and PACS detected sources using submillimetre colours. Astron. Astrophys. 518, L9 (2010)

    Article  ADS  Google Scholar 

  30. Kennicutt, R. C., Jr Star formation in galaxies along the Hubble sequence. Annu. Rev. Astron. Astrophys. 36, 189–232 (1998)

    CAS  Article  ADS  Google Scholar 

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SPIRE has been developed by a consortium of institutes led by Cardiff University (UK) and including the University of Lethbridge (Canada); NAOC (China); CEA and LAM (France); IFSI and the University of Padua (Italy); IAC (Spain); Stockholm Observatory (Sweden); Imperial College London, RAL, UCL-MSSL, UKATC and the University of Sussex (UK); and Caltech/JPL, IPAC and the University of Colorado (USA). This development has been supported by national funding agencies: CSA (Canada); NAOC (China); CEA, CNES and CNRS (France); ASI (Italy); MCINN (Spain); SNSB (Sweden); STFC (UK); and NASA (USA). We thank M. Viero for comments. A.A., A. Cooray, P.S., A.A.K., K.M.-W. and other US co-authors are supported by NASA funds for US participants in Herschel through an award from JPL.

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Authors and Affiliations



This paper represents the combined work of the HerMES collaboration, the SPIRE Instrument Team’s Extragalactic Survey, and has been extensively internally reviewed. A. Cooray planned the study, supervised the research work of A.A. and P.S., and wrote the draft version of this paper. A.A. performed the power spectrum measurements and P.S. interpreted those measurements with the halo model. All other co-authors of this paper contributed extensively and equally by their varied contributions to the SPIRE instrument, Herschel mission, analysis of SPIRE and HerMES data, planning of HerMES observations and scientific support of HerMES, and by commenting on this manuscript as part of an internal review process.

Corresponding author

Correspondence to Asantha Cooray.

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The authors declare no competing financial interests.

Additional information

The data presented in this paper are publicly available from the ESA/Herschel Science Archive ( under the observational identifications 1342186108, 1342186109 and 1342185536. Derived products by the HerMES collaboration, such as source catalogues, will be released through HeDaM (

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Supplementary Information

The file contains Supplementary Notes and Data, Supplementary Figures 1-13 with legends, Supplementary Tables 1-3 and additional references. (PDF 3048 kb)

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Amblard, A., Cooray, A., Serra, P. et al. Submillimetre galaxies reside in dark matter haloes with masses greater than 3 × 1011 solar masses. Nature 470, 510–512 (2011).

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