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In this work, we compiled a sample of 202 Fermi/LAT blazars with availablebroad line emissions. Out of the 202 sources, 66 have known Doppler factors.The correlation between ($\gamma$-ray) and broad-line emission, and thatbetween radio and broad-line emission are investigated by removing the effectsof redshift and beaming boosting for the whole sample and the subclasses, flatspectrum radio quasars (FSRQs) and BL Lacertae objects (BL Lacs) respectively.We obtained a strong positive correlation between ($\gamma$-ray) and broad-lineemission and between radio and broad-line emission for the 202 blazars; It isworth noting that the correlation still exists after removing redshift effect.For the 66 sources with Doppler factors, there is also a positive correlationbetween ($\gamma$-ray) and broad-line emission after removing the Dopplerfactors, as well as that between radio and broad-line emission. Our analysissuggest that 1. There are strong correlations between the ($\gamma$-ray) andthe broad line emission for the whole blazar sample and their subclasses. Thecorrelations exist when the redshift effect is removed for the whole sample andtheir subclasses, confirming the results by Ghisellini et al. (2014) and Chen(2018). 2. For the 66 blazars with available Doppler factors, a strongcorrelation between the broad line emission and the Doppler factor is found.The correlation between the ($\gamma$-ray) and the broad line emission existsafter the Doppler factor effect is removed. Similar results for 1 and 2 alsoobtained between radio and broad-line emission. 3. Our analysis suggests arobust connection between the accretion process and the jet.

Correlation Analysis for Gamma-ray (radio) and Broad Line Emissions of Fermi Blazars