Cosmological Parameters from Velocities, CMB and Supernovae

Abstract

We compare and combine likelihood functions of the cosmological parameters Omega_m, h and sigma_8, from peculiar velocities, CMB and type Ia supernovae. These three data sets directly probe the mass in the Universe, without the need to relate the galaxy distribution to the underlying mass via a "biasing" relation. We include the recent results from the CMB experiments BOOMERANG and MAXIMA-1. Our analysis assumes a flat Lambda CDM cosmology with a scale-invariant adiabatic initial power spectrum and baryonic fraction as inferred from big-bang nucleosynthesis. We find that all three data sets agree well, overlapping significantly at the 2 sigma level. This therefore justifies a joint analysis, in which we find a joint best fit point and 95 per cent confidence limits of Omega_m=0.28 (0.17,0.39), h=0.74 (0.64,0.86), and sigma_8=1.17 (0.98,1.37). In terms of the natural parameter combinations for these data sigma_8 Omega_m^0.6 = 0.54 (0.40,0.73), Omega_m h = 0.21 (0.16,0.27). Also for the best fit point, Q_rms-ps = 19.7 muK and the age of the universe is 13.2 Gyr.

8 pages, 5 figures. Submitted to MNRAS

References in corpus (25)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Efficient Computation of CMB anisotropies in closed FRW models
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• The Cosmic Triangle: Revealing the State of the Universe
• The HST Key Project on the Extragalactic Distance Scale. XXVIII. Combining the Constraints on the Hubble Constant
• Cosmic Background Anisotropies in CDM Cosmology
• A Measurement of the Angular Power Spectrum of the CMB from l = 100 to 400
• Cosmic Confusion: Degeneracies among Cosmological Parameters Derived from Measurements of Microwave Background Anisotropies
• Homogeneous Velocity-Distance Data for Peculiar Velocity Analysis. III. The Mark III Catalog of Galaxy Peculiar Velocities
• Sharpening the predictions of big-bang nucleosynthesis
• Measuring Omega_0 using cluster evolution
• Review of Big Bang Nucleosynthesis and Primordial Abundances
• Extracting Primordial Density Fluctuations
• A Spherical Harmonic Approach to Redshift Distortion and a Measurement of Omega from the 1.2 Jy IRAS Redshift Survey
• Measurement of a Peak in the Cosmic Microwave Background Power Spectrum from the North American test flight of BOOMERANG
• The Cosmic Microwave Background and Observational Convergence in the Omega_m - Omega_lambda Plane
• Dark Energy and the CMB
• Constraints on Omega_Lambda and Omega_m from Distant Type 1a Supernovae and Cosmic Microwave Background Anisotropies
• The Velocity Field from Type Ia Supernovae Matches the Gravity Field from Galaxy Surveys
• Evidence for a Positive Cosmological Constant from Flows of Galaxies and Distant Supernovae
• Bayesian `Hyper-Parameters' Approach to Joint Estimation: The Hubble Constant from CMB Measurements
• Large-Scale Power Spectrum and Cosmological Parameters from SFI Peculiar Velocities
• Cosmological parameters from cluster abundances, CMB and IRAS

Cited by in corpus (21)

• The 2dF Galaxy Redshift Survey: The amplitudes of fluctuations in the 2dFGRS and the CMB, and implications for galaxy biasing
• Local Gravity versus Local Velocity: Solutions for $\beta$ and nonlinear bias
• Is cosmology consistent?
• The cosmological bulk flow: consistency with $\Lambda$CDM and $z\approx 0$ constraints on ${\sigma }_8$ and $\gamma$
• Instrument, Method, Brightness and Polarization Maps from the 2003 flight of BOOMERanG
• Analytic marginalization over CMB calibration and beam uncertainty
• Measuring the metric: a parametrized post-Friedmanian approach to the cosmic dark energy problem
• Peculiar Velocity Limits from Measurements of the Spectrum of the Sunyaev-Zel'dovich Effect in Six Clusters of Galaxies
• The last stand before MAP: cosmological parameters from lensing, CMB and galaxy clustering
• Constraints on Cosmological Anisotropy out to z=1 from Supernovae Ia
• Secondary CMB Anisotropies from Cosmological Reionization
• Cosmological Density and Power Spectrum from Peculiar Velocities: Nonlinear Corrections and PCA
• Model Independent Primordial Power Spectrum from Maxima, Boomerang, and DASI Data
• Mapping of the SZ effect in the cluster Cl 0016+16 with the Ryle Telescope
• Constraints on Omega_B, Omega_m and h from MAXIMA and BOOMERANG
• Mass Selection Bias in Galaxy Cluster Peculiar Velocities from the Kinetic Sunyaev-Zel'dovich Effect
• Observational Tests of FRW World Models
• Omega_m - Different Ways to Determine the Matter Density of the Universe
• Constraining Cosmological Models by the Cluster Mass Function
• `Hyper Parameters' Approach to Joint Estimation: Applications to Cepheid-Calibrated Distances and X-Ray Clusters
• A Chi-Squared Analysis of the Measurements of Two Cosmological Parameters Over Time