Redshift evolution of the X-ray and UV luminosity relation of quasars: calibrated results from SNe Ia

TL;DR

This study investigates the redshift evolution of the UV-X-ray luminosity relation in quasars, calibrating it using supernova data, and finds that accounting for evolution resolves previous inconsistencies, supporting quasars as standard candles.

Contribution

It introduces a model-independent method to test and confirm redshift evolution in quasar luminosity relations, improving their reliability as standard candles.

Findings

Significant inconsistency between low- and high-redshift quasar parameters without evolution.

Redshift-dependent calibration parameters reconcile the data at 1σ level.

Supports the use of parameterized evolution models for quasar luminosity relations.

Abstract

Quasars could serve as standard candles if the relation between their ultraviolet and X-ray luminosities can be accurately calibrated. Previously, we developed a model-independent method to calibrate quasar standard candles using the distances-redshift relation reconstructed from Type Ia supernova at z<2 using Gaussian process regression. Interestingly, we found that the calibrated quasar standard candle dataset preferred a deviation from $\Lambda$CDM at redshifts above z>2. One interpretation of these findings is that the calibration parameters of the quasar UV-X-ray luminosity relationship evolves with redshift. In order to test the redshift dependence of the quasar calibration in a model-independent manner, we divided the quasar sample whose redshift overlap with the redshift coverage of Pantheon+ Type Ia supernova compilation into two sub-samples: a low-redshift quasar sub-sample and a high-redshift quasar sub-sample. Our present results show that there is about a 4$\sigma$ inconsistency between the quasar parameters inferred from the high-redshift quasar sub-sample and from the low-redshift sub-sample if no evolution of the quasar relation is considered. This inconsistency suggests the necessity of considering redshift evolution for the relationship between the quasars$'$ ultraviolet and X-ray luminosities. We then test an explicit parametrization of the redshift evolution of the quasar calibration parameters via $\gamma(z) = \gamma_0+\gamma_1(1+z)$ and $\beta(z)=\beta_0+\beta_1(1+z)$. Combining this redshift-dependent calibration relationship with the distance-redshift relationship reconstructed from Pantheon+ supernova compilation, we find the high-redshift sub-sample and low-redshift sub-sample become consistent at the 1$\sigma$ level, which means that the parameterized form of $\gamma(z)$ and $\beta(z)$ works well at describing the evolution of the quasar calibration parameters.