  Recent experimental advances have reignited theoretical interests in
heavy-flavor hadrons. In this work, we study the magnetic moments of the
spin-1/2 singly charmed baryons up to the next-to-leading order in covariant
baryon chiral perturbation theory with the extended-on-mass-shell
renormalization scheme. The pertinent low energy constants $g_{1-4}$ are fixed
with the help of the quark model and the heavy quark spin flavor symmetry,
while the remaining $d_2$, $d_3$, $d_5$ and $d_6$ are determined by fitting to
the lattice QCD pion-mass dependent data. We study the magnetic moments as a
function of $m_\pi^2$ and compare our results with those obtained in the heavy
baryon chiral perturbation theory. We find that the loop corrections induced by
the anti-triplet states are dominated by the baryon pole diagram. In addition,
we predict the magnetic moments of the spin-1/2 singly charmed baryons and
compare them with those of other approaches.
