  We study a renormalizable scalar singlet dark matter model based on $Z_4$
lepton flavor symmetry. A $\mu\tau$-philic scalar doublet is introduced to
explain the discrepancy between the experimental value and the theoretical
prediction of the muon anomalous magnetic moment. At the same time, these
flavored scalars play the role of a mediator which connects dark matter and
standard model particles. The observed relic abundance of the dark matter is
easily maintained while satisfying the current severe constraints on the dark
matter from various experiments and observations thanks to the flavor
off-diagonal interactions of scalar mediators. We also explore the possibility
of dark matter direct detection through the one-loop process.
