Scalar dark matter with a μτ flavored mediator

We study a renormalizable scalar singlet dark matter model based on Z4 lepton flavor symmetry. A μτ-philic scalar doublet is introduced as 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 further explore the possibility of dark matter direct detection through the one-loop process. We also find that the relic abundance of the dark matter and the discrepancy of the muon anomalous magnetic moment can be explained by the μτ-philic scalar mediator simultaneously.