  In this work, we systematically study the radiative decays and magnetic
moments of the charmed and bottom vector mesons with chiral perturbation theory
up to one-loop level. We present the results in SU(2) and SU(3) cases with the
mass splitting in loop diagrams kept and unkept, respectively. The obtained
decay rates for $D^\ast$ and $B^\ast$ mesons in SU(3) case with the mass
splitting kept are: $\Gamma_{\bar{D}^{\ast 0}\to
\bar{D}^0\gamma}=16.2^{+6.5}_{-6.0}$ keV, $\Gamma_{D^{\ast-}\to
D^-\gamma}=0.73^{+0.7}_{-0.3}$ keV, $\Gamma_{D_s^{\ast-}\to D_s^-\gamma}=
0.32^{+0.3}_{-0.3}$ keV, and $\Gamma_{B^{\ast+}\to
B^+\gamma}=0.58^{+0.2}_{-0.2}$ keV, $\Gamma_{B^{\ast0}\to
B^0\gamma}=0.23^{+0.06}_{-0.06}$ keV, $\Gamma_{B_s^{\ast0}\to
B_s^0\gamma}=0.04^{+0.03}_{-0.03}$ keV. The decay width for $D^{\ast-}\to
D^-\gamma$ is consistent with the experimental measurement. As a byproduct, the
full widths of $\bar{D}^{\ast0}$ and $D_s^{\ast-}$ are
$\Gamma_{\mathrm{tot}}(\bar{D}^{\ast0})\simeq77.7^{+26.7}_{-20.5}~\mathrm{keV}$
and $
\Gamma_{\mathrm{tot}}(D_s^{\ast-})\simeq0.62^{+0.45}_{-0.50}~\mathrm{keV}$,
respectively. We also calculate the magnetic moments of the heavy vector
mesons. The analytical chiral expressions derived in our work shall be helpful
for the extrapolations of lattice QCD simulations in the coming future.
