publication . Preprint . 2011

Improved constraints on cosmological parameters from SNIa data

March, M. C.; Trotta, R.; Berkes, P.; Starkman, G. D.; Vaudrevange, P. M.;
Open Access English
  • Published: 15 Feb 2011
  • Country: Germany
Abstract
We present a new method based on a Bayesian hierarchical model to extract constraints on cosmological parameters from SNIa data obtained with the SALT-II lightcurve fitter. We demonstrate with simulated data sets that our method delivers tighter statistical constraints on the cosmological parameters over 90% of the time, that it reduces statistical bias typically by a factor ~ 2-3 and that it has better coverage properties than the usual chi-squared approach. As a further benefit, a full posterior probability distribution for the dispersion of the intrinsic magnitude of SNe is obtained. We apply this method to recent SNIa data, and by combining them with CMB and BAO data we obtain Omega_m=0.28 +/- 0.02, Omega_Lambda=0.73 +/- 0.01 (assuming w=-1) and Omega_m=0.28 +/- 0.01, w=-0.90 +/- 0.05 (assuming flatness; statistical uncertainties only). We constrain the intrinsic dispersion of the B-band magnitude of the SNIa population, obtaining sigma_mu^int = 0.13 +/- 0.01 [mag]. Applications to systematic uncertainties will be discussed in a forthcoming paper.
Comment: Enlarged prior on w (down to w>-4), resulting in better coverage for this parameter. Main results unchanged. Matched version accepted by MNRAS
Subjects
free text keywords: Astrophysics - Cosmology and Nongalactic Astrophysics

Amanullah R., et al., 2010, Astrophys. J., 716, 712 Andreon S., 2006, Mon. Not. R. Astron. Soc., 369, 2, 969-975 Andreon S., Hurn M. A., 2010, Mon. Not. R. Astron. Soc., 404, 1922 Astier P., et al., 2006, Astron. Astrophys., 447, 31 Bailey S., et al., 2008, arXiv:0810.3499 Balland C., et al., 2009, Astronomy & Astrophysics, 507, 85 Box G. E. P., Tiao G. C., 1992, Bayesian Inference in Statistical Analysis. John Wiley & Sons, Chicester, UK Contreras C., et al., 2010, Astrophys. J., 139, 519 D'Agostini G., 2005, arXiv:physics/0511182v1 Eisenstein D. J., et al., 2005, Astrophys. J., 633, 560 Feroz F., Cranmer K., Hobson M., de Austri R. R., Trotta R., 2011, arXiv:1101.3296 Feroz F., Hobson M. P., 2008, Mon. Not. R. Astron. Soc., 384, 449 Feroz F., Hobson M. P., Bridges M., 2009, Mon. Not. R. Astron. Soc., 398, 1601 F. Feroz, K. Cranmer, M. Hobson, R. Ruiz de Austri and R. Trotta, preprint: 1101.3296 [hep-ph].

2 research outcomes, page 1 of 1
Abstract
We present a new method based on a Bayesian hierarchical model to extract constraints on cosmological parameters from SNIa data obtained with the SALT-II lightcurve fitter. We demonstrate with simulated data sets that our method delivers tighter statistical constraints on the cosmological parameters over 90% of the time, that it reduces statistical bias typically by a factor ~ 2-3 and that it has better coverage properties than the usual chi-squared approach. As a further benefit, a full posterior probability distribution for the dispersion of the intrinsic magnitude of SNe is obtained. We apply this method to recent SNIa data, and by combining them with CMB and BAO data we obtain Omega_m=0.28 +/- 0.02, Omega_Lambda=0.73 +/- 0.01 (assuming w=-1) and Omega_m=0.28 +/- 0.01, w=-0.90 +/- 0.05 (assuming flatness; statistical uncertainties only). We constrain the intrinsic dispersion of the B-band magnitude of the SNIa population, obtaining sigma_mu^int = 0.13 +/- 0.01 [mag]. Applications to systematic uncertainties will be discussed in a forthcoming paper.
Comment: Enlarged prior on w (down to w>-4), resulting in better coverage for this parameter. Main results unchanged. Matched version accepted by MNRAS
Subjects
free text keywords: Astrophysics - Cosmology and Nongalactic Astrophysics

Amanullah R., et al., 2010, Astrophys. J., 716, 712 Andreon S., 2006, Mon. Not. R. Astron. Soc., 369, 2, 969-975 Andreon S., Hurn M. A., 2010, Mon. Not. R. Astron. Soc., 404, 1922 Astier P., et al., 2006, Astron. Astrophys., 447, 31 Bailey S., et al., 2008, arXiv:0810.3499 Balland C., et al., 2009, Astronomy & Astrophysics, 507, 85 Box G. E. P., Tiao G. C., 1992, Bayesian Inference in Statistical Analysis. John Wiley & Sons, Chicester, UK Contreras C., et al., 2010, Astrophys. J., 139, 519 D'Agostini G., 2005, arXiv:physics/0511182v1 Eisenstein D. J., et al., 2005, Astrophys. J., 633, 560 Feroz F., Cranmer K., Hobson M., de Austri R. R., Trotta R., 2011, arXiv:1101.3296 Feroz F., Hobson M. P., 2008, Mon. Not. R. Astron. Soc., 384, 449 Feroz F., Hobson M. P., Bridges M., 2009, Mon. Not. R. Astron. Soc., 398, 1601 F. Feroz, K. Cranmer, M. Hobson, R. Ruiz de Austri and R. Trotta, preprint: 1101.3296 [hep-ph].

2 research outcomes, page 1 of 1
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