Using the Extragalactic Gamma-Ray Background to Constrain the Hubble Constant and Matter Density of the Universe

Abstract

The attenuation produced by extragalactic background light (EBL) in $\gamma$-ray spectra of blazars has been used to constrain the Hubble constant ($H_0$) and matter density (${\Omega }_{\mathrm{m}}$) of the Universe. We propose to estimate $H_0$ and ${\Omega }_{\mathrm{m}}$ using the well measured $>$10 GeV extragalactic $\gamma$-ray background (EGB). This suggestion is based on the facts that the $>$10 GeV EGB is totally explained by the emissions from blazars, and an EBL-absorption cutoff occurs at $\sim$50 GeV in the EGB spectrum. We fit the $>$10 GeV EGB data with modeled EGB spectrum. This results in $H_0=64.9_{-4.3}^{+4.6}\mathrm{km}{\mathrm{s}}^{-1}\mathrm{Mp}{\mathrm{c}}^{-1}$ and ${\Omega }_{\mathrm{m}}=0.31_{-0.14}^{+0.13}$. Note that the uncertainties may be underestimated due to the limit of our realization for EBL model. $H_0$ and ${\Omega }_{\mathrm{m}}$ are degenerate in our method. Independent determination of ${\Omega }_{\mathrm{m}}$ by other methods would improve the constraint on $H_0$.

Accepted by ApJ

References in corpus (6)

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