Jet power, intrinsic $\gamma$-ray luminosity and accretion in jetted AGN

The correlation between the kinetic jet power $P_{\rm jet}$, intrinsic $\gamma$-ray luminosity ($L^{\rm int}$) and accretion ($L_{\rm disk}$) may reveal the underlying jet physics in various black hole systems. We study the relation between kinetic jet power, intrinsic $\gamma$-ray luminosity, and accretion by using a large sample of jetted AGN, including flat-spectrum radio quasars (FSRQs), BL Lacertae objects (BL Lacs), gamma-ray Narrow-line Seyfert 1 galaxies ($\gamma$NLS1s) and radio galaxies. Our main results are as follows: (1) The slope indices of the relation between $P_{\rm jet}$ and $L^{\rm int}$ are $0.85\pm0.01$ for the whole sample, $0.70\pm0.02$ for the FSRQs, $0.83\pm0.03$ for the BL Lacs, $0.68\pm0.11$ for the $\gamma$NLS1s, and $0.93\pm0.09$ for the radio galaxies, respectively. The jets in $\gamma$NLS1s and radio galaxies almost follow the same $P_{\rm jet}$-$L^{\rm int}$ correlation that was obtained for Fermi blazars. (2) The slope indices of the relation between $L^{\rm int}$ and $L_{\rm disk}$ are $1.05\pm0.02$ for the whole sample, $0.94\pm0.05$ for the FSRQs, $1.14\pm0.05$ for the BL Lacs, and $0.92\pm0.18$ for the $\gamma$NLS1s, respectively. The $\gamma$NLS1s and radio galaxies almost also follow the $L^{\rm int}$-$L_{\rm disk}$ correlation derived for Fermi blazars. (3) The jet power is larger than the luminosity of accretion disks for almost all jetted AGN. Jet power depends on both the Eddington ratio and black hole mass. We obtain $\log P_{\rm jet}\sim(1.00\pm0.02)\log L_{\rm disk}$ for the whole sample, which is consistent with the theoretically predicted coefficient. These results may imply that the jets of jetted AGN are powered by the Blandford-Znajek mechanism.