Constraints on cosmological models from quasars calibrated with type Ia supernova by a Gaussian process

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ABSTRACT In this paper, we use quasars calibrated from type Ia supernova (SN Ia) to constrain cosmological models. We consider three different X-ray luminosity (LX)–ultraviolet luminosity (LUV) relations of quasars, i.e. the standard LX–LUV relation and two redshift–evolutionary relations (Type I and Type II), respectively, constructed from copula and considering a redshift correction to the luminosity of quasars. Only in the case of the Type I relation, quasars can always provide effective constraints on the ΛCDM (cosmological constant Λ plus cold dark matter) model. Furthermore, we show that, when the observational Hubble data (OHD) are added, the constraints on the absolute magnitude M of SN Ia and the Hubble constant H0 can be obtained. In the ΛCDM model, the OHD measurements plus quasars with the Type I relation yields M = $-19.321^{+0.085}_{-0.076}$, which is in good agreement with the measurement from SH0ES (M = −19.253 ± 0.027), and H0 = $70.80\pm 3.6~\mathrm{km~s^{-1}\, Mpc^{-1}}$, falling between the measurements from SH0ES and the Planck cosmic microwave background radiation data.