Model-independent measurement of the Hubble Constant and the absolute magnitude of Type Ia Supernovae
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| Format: | Preprint |
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2021
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| author | Zhang, Jian-Chen Jiao, Kang Zhang, Tong-Jie |
| author_facet | Zhang, Jian-Chen Jiao, Kang Zhang, Tong-Jie |
| contents | In this work, we propose a cosmological model-independent and non-local method to constrain the Hubble Constant $H_0$. Inspired by the quasi cosmological model-independent and $H_0$-free properties of the `shifted' Hubble diagram of HII galaxies (HIIGx) defined by Wei et al. (2016), we joint analyze it with the parametric type Ia supernova (SN Ia) Hubble diagram (e.g. the joint-lightcurves-analysis sample, JLA) and get a Bayesian Inference of Hubble constant, $H_0 = 71 \pm 20\ \mathrm{km\ s^{-1}\ Mpc^{-1}}$. Although with large uncertainty, we find that $H_0$ is only strongly degenerate with the B-band absolute magnitude ($M_B$) of SN Ia but almost independent on other nuisance parameters. Therefore the accuracy can be simultaneously improved by a tight constraint of $M_B$ through a cosmological and $H_0$ independent way. This method can be extended further to get more-literally non-local results of $H_0$ by using other Hubble diagrams at higher redshifts. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2101_05897 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Model-independent measurement of the Hubble Constant and the absolute magnitude of Type Ia Supernovae Zhang, Jian-Chen Jiao, Kang Zhang, Tong-Jie Cosmology and Nongalactic Astrophysics In this work, we propose a cosmological model-independent and non-local method to constrain the Hubble Constant $H_0$. Inspired by the quasi cosmological model-independent and $H_0$-free properties of the `shifted' Hubble diagram of HII galaxies (HIIGx) defined by Wei et al. (2016), we joint analyze it with the parametric type Ia supernova (SN Ia) Hubble diagram (e.g. the joint-lightcurves-analysis sample, JLA) and get a Bayesian Inference of Hubble constant, $H_0 = 71 \pm 20\ \mathrm{km\ s^{-1}\ Mpc^{-1}}$. Although with large uncertainty, we find that $H_0$ is only strongly degenerate with the B-band absolute magnitude ($M_B$) of SN Ia but almost independent on other nuisance parameters. Therefore the accuracy can be simultaneously improved by a tight constraint of $M_B$ through a cosmological and $H_0$ independent way. This method can be extended further to get more-literally non-local results of $H_0$ by using other Hubble diagrams at higher redshifts. |
| title | Model-independent measurement of the Hubble Constant and the absolute magnitude of Type Ia Supernovae |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2101.05897 |