Cosmological parameters from cluster abundances, cosmic microwave background and IRAS

S. L. Bridle, V. R. Eke, O. Lahav, A. N. Lasenby, M. P. Hobson, S. Cole, C. S. Frenk, J. P. Henry

    Research output: Contribution to journalArticlepeer-review


    We combine information on cosmological parameters from cluster abundances, CMB primordial anisotropies and the IRAS 1.2Jy galaxy redshift survey. We take as free parameters the present values of the total matter density of the universe, Ωm, the Hubble parameter, h, the linear theory rms fluctuations in the matter density within 8 h-1 Mpc spheres, σ8, and the IRAS biasing factor, bIRAS. We assume that the universe is spatially flat, with a cosmological constant, and that structure formed form adiabatic initial fluctuations with a Harrison-Zel'dovich power spectrum (i.e. the primordial spectral index n = 1). The nucleosynthesis value for the baryonic matter density Ωb = 0.019/h2 is adopted. We use the full three- and four-dimensional likelihood functions for each data set and marginalize these to two- and one-dimensional distributions in Bayesian way, integrating over the other paramters. It is shown that the three data sets are in excellent agreement, with a best-fitting point of Ωm = 1 - ΩΛ = 0.36, h = 0.54, σ8 = 0.74, and bIRAS = 1.08. This point is within one sigma of the minimum for each data set alone. Paris of these data sets have their degeneracies in sufficiently different directions that using only two data sets at a time is sufficient to place good constraints on the cosmological paramters. We show that the results from each of the three possible pairings of the data are also in good agreement. Finally, we combine all three data sets to obtain marginalized 68 per cent confidence intervals of 0.30 <Ωm <0.43, 0.48 <h <0.59, 0.69 <σ8 <0.79, and 1.01 <bIRAS <1.16. For the best-fitting parameters the CMB quadrupole is Qrms-ps = 18.0 μΚ, the shape parameter of the mass power spectrum is Γ = 0.15, the baryon density is Ωb = 0.066 and the age of the universe is 16.7 Gyr.
    Original languageEnglish
    Pages (from-to)565-570
    Number of pages5
    JournalMonthly Notices of the Royal Astronomical Society
    Issue number2
    Publication statusPublished - 1 Dec 1999


    • Cosmic microwave background
    • Galaxies: clusters: general
    • Large-scale structure of Universe


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