Determining $H_0$ using a model-independent method

Abstract

By using type Ia supernovae (SNIa) to provide the luminosity distance (LD) directly, which depends on the value of the Hubble constant $H_0=100h\mathrm{km}{\mathrm{s}}^{-1}\mathrm{Mp}{\mathrm{c}}^{-1}$, and the angular diameter distance from galaxy clusters or baryon acoustic oscillations (BAOs) to give the derived LD according to the distance duality relation, we propose a model-independent method to determine $h$ from the fact that different observations should give the same LD at a given redshift. Combining the Sloan Digital Sky Survey II (SDSS-II) SNIa from the MLCS2k2 light curve fit and galaxy cluster data, we find that at the $1\sigma$ confidence level (CL), $h=0.5867\pm 0.0303$ for the sample of the elliptical $\beta$ model for galaxy clusters, and $h=0.6199\pm 0.0293$ for that of the spherical $\beta$ model. The former is smaller than the values from other observations, whereas the latter is consistent with the Planck result at the $2\sigma$ CL and agrees very well with the value reconstructed directly from the $H(z)$ data. With the SDSS-II SNIa and BAO measurements, a tighter constraint, $h=0.6683\pm 0.0221$, is obtained. For comparison, we also consider the Union 2.1 SNIa from the SALT2 light curve fitting. The results from the Union 2.1 SNIa are slightly larger than those from the SDSS-II SNIa, and the Union 2.1 SNIa + BAOs give the tightest value. We find that the values from SNIa + BAOs are quite consistent with those from the Planck and the BAOs, as well as the local measurement from Cepheids and very-low-redshift SNIa.

11 pages, 3 figures

References in corpus (11)

• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Improved Distances to Type Ia Supernovae with Multicolor Light Curve Shapes: MLCS2k2
• The 1% Concordance Hubble Constant
• Confirmation of a Star Formation Bias in Type Ia Supernova Distances and its Effect on Measurement of the Hubble Constant
• The Kormendy relation of massive elliptical galaxies at z~1.5. Evidence for size evolution ?
• Testing the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernovae
• Cosmological-model-independent tests for the distance-duality relation from Galaxy Clusters and Type Ia Supernova
• Robustness of $H_0$ determination at intermediate redshifts
• A Tale of Two Distances
• Low red-shift effects of local structure on the Hubble parameter in presence of a cosmological constant

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• Constraining the local variance of $H_0$ from directional analyses
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• Constraining Cosmological and Galaxy Parameters using Strong Gravitational Lensing Systems
• Bias of reconstructing the dark energy equation of state from the Pad$\acute{e}$ cosmography