We study a renormalizable scalar singlet dark matter model based on $Z_4$ lepton flavor symmetry. A $\mu \tau$-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 $\mu \tau$-philic scalar mediator simultaneously.

中文翻译：

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带有μτ味介体的标量暗物质

我们研究了一个可重整化的标量单线态暗物质模型$Z_4$轻子味对称。一个$\mu \tau$-philic 标量双峰被引入作为连接暗物质和标准模型粒子的介质。由于标量介体的风味非对角相互作用，在满足当前各种实验和观察对暗物质的严格限制的同时，很容易保持观察到的暗物质的遗迹丰度。我们进一步探索了通过单循环过程直接检测暗物质的可能性。我们还发现，暗物质的遗迹丰度和μ子异常磁矩的差异可以用$\mu \tau$-philic 标量调解器同时。