In this paper, we investigate lepton mass spectra, flavor mixing and CP violation with a modular $S_4$ symmetry under the assumption that neutrinos are Dirac fermions. We find that the Majorana mass term can be forbidden by adjusting the weight of the right-handed neutrino superfields. We study the scenarios where modular forms in the neutrino sector take the lowest non-trivial weight two, while those in the charged-lepton sector vary from two to six. The corrections from renormalization-group running effects to our model have also been discussed in detail. We totally obtain twelve different classes of models and find that ten of them can accommodate current neutrino oscillation data.

在本文中，我们使用模块研究了轻子质谱，风味混合和CP违规 ${\mathrm{小号}}_4$在中微子是狄拉克费米子的假设下对称。我们发现，可以通过调整右手中微子超场的权重来禁止马约拉纳质量项。我们研究了中微子部门的模块化形式具有最低的非平凡权重，而带电轻子部门的模块化形式从2变为6的情况。还详细讨论了从重归一化组运行影响到我们模型的校正。我们总共获得了十二种不同类别的模型，发现其中十种可以容纳当前的中微子振荡数据。