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Towards a refined cosmic concordance model: Joint 11-parameter constraints from the cosmic microwave background and large-scale structure

2000/08/31 by Max Tegmark, Matias Zaldarriaga, Matías Zaldarriaga +2 · 8 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Radio Astronomy Observations and Technology #astro-ph #hep-ph

paper · pdf · doi:10.1103/physrevd.63.043007

published as Phys.Rev.D63:043007,2001 · Replaced with accepted version. Improved accuracy, more refs; 15 pages, 13 figs. Power spectrum movies at http://www.hep.upenn.edu/~max/concordance.html or from [email protected]

arxiv created 2000/11/10 · openalex publication_date 2001/01/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present a method for calculating large numbers of power spectra Cl and P(k) that accelerates CMBFAST by a factor around 103 without appreciable loss of accuracy, then apply it to constrain 11 cosmological parameters from current cosmic microwave background (CMB) and large scale structure (LSS) data. While the CMB alone still suffers from several degeneracies, allowing, e.g., closed models with strong tilt and tensor contributions, the shape of the real space power spectrum of galaxies from the IRAS Point Source Catalogue Redshift (PSCz) survey breaks these degeneracies and helps place strong constraints on most parameters. At 95% confidence, the combined CMB and LSS data imply a baryon density 0.020<\ensuremathωb<0.037, dark matter density 0.10<\ensuremathωdm<0.32 with a neutrino fraction f_\ensuremathν<38%, vacuum density \ensuremathΩ_\ensuremathΛ<0.76, curvature \ensuremath-0.19<\ensuremathΩk<0.10, scalar tilt 0.86<ns<1.16, and reionization optical depth \ensuremathτ<0.44. These joint constraints are quite robust, changing little when we impose priors on the Hubble parameter, tilt, flatness, gravity waves or reionization. Adding nucleosynthesis and neutrino priors on the other hand tightens constraints considerably, requiring \ensuremathΩ_\ensuremathΛ>0.49 and a red-tilt, ns<1. The analysis allows a number of consistency tests to be made, all of which pass. At the 95% level, the flat scalar ``concordance model'' with \ensuremathΩ_\ensuremathΛ=0.62, \ensuremathωdm=0.13, \ensuremathωb=0.02, f_\ensuremathν\ensuremath∼0, ns=0.9, \ensuremathτ=0.1, h=0.63 is consistent with the CMB and LSS data considered here, with big bang nucleosynthesis, cluster baryon fractions and cluster abundance. The inferred PSCz bias b\ensuremath∼1.2 agrees with the value estimated independently from redshift space distortions. The inferred cosmological constant value agrees with the one derived independently from SNIa studies. Cosmology seems to be on the right track.

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