Exploring the Luminosity Correlation Between X-ray and Gamma-ray Emission in Blazars with Swift BAT and Fermi LAT

Blazars, a subclass of active galactic nuclei (AGNs) with relativistic jets aligned closely with our line of sight, emit across the entire electromagnetic spectrum. In this study, We examine the correlation between X-ray and gamma-ray luminosities of flat-spectrum radio quasars (FSRQs), a subclass of blazars, using two major all-sky survey instruments: the latest 105-month Swift Burst Alert Telescope (BAT) and 10-yr Fermi Large Area Telescope (LAT) catalogs, respectively. We utilize the cross-match catalogs (Tsuji et al. 2021) and compute rest-frame luminosities for both bands and perform a Bayesian linear regression using Markov Chain Monte Carlo (MCMC) methods via emcee, accounting for measurement uncertainties and intrinsic scatter. We find a correlation that agrees well with predictions from Ghisellini et al. (2017) SED models, indicating that the X-ray and gamma-ray emissions likely originate from the same underlying mechanism, whether leptonic or hadronic. Including censored sources from both catalogs and assigning upper limits based on instrument sensitivity thresholds reveals that BAT-censored FSRQs follow the main trend, while LAT-censored ones fall below it, possibly representing a distinct population. These results support a strong X-ray/gamma-ray luminosity link and emphasize the need to probe faint, underrepresented AGN populations in future high-energy surveys.