  The correlation between the kinetic power $P_{\rm jet}$ and intrinsic
bolometric luminosity $L_{\rm jet}$ of jets may reveal the underlying jet
physics in various black hole systems. Based on the recent work by Nemmen et
al. (2012), we re-investigate this correlation with additional sources of
black-hole X-ray binaries (BXBs) in hard/quiescent states and low-luminosity
active galactic nuclei (LLAGNs). The new sample includes 29 sets of data from 7
BXBs and 20 LLAGNs, with $P_{\rm jet}$ and $L_{\rm jet}$ being derived from
spectral modeling of the quasi-simultaneous multi-band spectra under the
accretion-jet scenario. Compared to previous works, the range of luminosity is
now enlarged to more than $20$ decades, i.e. from $10^{31}{\rm erg/s}$ to
$10^{52}{\rm erg/s}$, which allows for better constraining of the correlation.
One notable result is that the jets in BXBs and LLAGNs almost follow the same
$P_{\rm jet} - L_{\rm jet}$ correlation that was obtained from blazars and
gamma-ray bursts (GRBs). The slope indices we derived are $1.03\pm0.01$ for the
whole sample, $0.85\pm0.06$ for BXB subsample, $0.71\pm0.11$ for LLAGN
subsample, and $1.01\pm0.05$ for the LLAGN-blazar subsample, respectively. The
correlation index around unit implies the independence of jet efficiency on the
luminosity or kinetic power. Our results may further support the hypothesis
that similar physical processes exist in the jets of various black hole
systems.
