Empirically determined dilution factors of stripped-envelope, core-collapse SNe: Paper II - Using GRB-SNe to determine the Hubble Constant

The aim of this work is to use gamma-ray burst supernovae (GRB-SNe) as cosmological probes to measure the Hubble constant, \(H_0\), in the local Universe. In the context of the Expanding Photosphere Method (EPM), I use empirically derived dilution factors of a sample of nearby SNe Ic, which were der...

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Bibliographic Details
Published in:arXiv.org 2018-05
Main Author: Cano, Zach
Format: Article
Language:English
Subjects:
Big Bang theory
Collapse
Dilution
Gamma ray bursts
Gamma rays
Hubble constant
Legal issues
Photosphere
Supernovae
Universe
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Summary:The aim of this work is to use gamma-ray burst supernovae (GRB-SNe) as cosmological probes to measure the Hubble constant, \(H_0\), in the local Universe. In the context of the Expanding Photosphere Method (EPM), I use empirically derived dilution factors of a sample of nearby SNe Ic, which were derived in Paper I of a two-paper series, as a proxy for the dilution factors of GRB-SNe. It is seen that the dilution factors as a function of temperature in \(VI\) display the least amount of scatter, relative to \(BVI\) and \(BV\). A power-law function is fit to the former, and is used to derive model dilution factors which are then used to derive EPM distances to GRB-SNe 1998bw and 2003lw: \(36.7\pm9.6\) and \(372.2\pm137.1\) Mpc, respectively. In linear Hubble diagrams in filters \(BVR\), I determine the offset of the Hubble ridge line, and armed with the peak absolute magnitudes in these filters for the two aforementioned GRB-SNe, I find a (weighted average) Hubble constant of \(\bar{H_{0,\rm w}} = 61.9\pm12.3\) km s\(^{-1}\) Mpc\(^{-1}\) for GRB-SNe located at redshifts \(z\le0.1\). The 20\% error is consistent with the value of \(H_0\) calculated by Planck and SNe Ia within 1\(\sigma\). I tested the fitting method on five nearby SNe Ic, and found that their EPM distances varied by 18-50\%, with smaller errors found for those SNe which had more numerous usable observations. For SN 2002ap, its EPM distance was overestimated by 18\%, and if the distance to SN 1998bw was similarly over-estimated by the same amount, the resultant value of the Hubble constant is \(H_0 = 72\) km s\(^{-1}\) Mpc\(^{-1}\), which perfectly matches that obtained using SNe Ia. [abridged]
ISSN:2331-8422