From the "blazar sequence" to unification of blazars and radio galaxies

Based on a large Fermi blazar sample, the blazar sequence (synchrotron peak frequency ${\nu }_{\mathrm{p}\mathrm{e}\mathrm{a}\mathrm{k}}$ versus synchrotron peak luminosity $L_{\mathrm{p}\mathrm{e}\mathrm{a}\mathrm{k}}$) is revisited. It is found that there is significant anti-correlation between ${\nu }_{\mathrm{p}\mathrm{e}\mathrm{a}\mathrm{k}}$ and $L_{\mathrm{p}\mathrm{e}\mathrm{a}\mathrm{k}}$ for blazars. However, after being Doppler corrected, the anti-correlation disappears. The jet cavity power ($P_{\rm jet}$) is estimated from extended radio luminosity. So it is free of beaming effect. We find that there are significant anti-correlations between $P_{\rm jet}$andbeam-corrected$\nu_{\rm peak}^{'}$ for both blazars and radio galaxies, which supports the blazar sequence and unification of blazars and radio galaxies (an alternative relationship is the correlation between jet power and $\gamma$-ray photon index).