论文标题
Lepton违规，Lepton $（G-2）_ {μ，\，E} $和模块化对称性中的电子EDM
Lepton flavor violation, lepton $(g-2)_{μ,\,e}$ and electron EDM in the modular symmetry
论文作者
论文摘要
我们研究了Lepton侵犯（LFV），Leptonic磁矩$（G-2）_ {μ，\，E} $以及具有$γ_N$模块化风味对称性的标准模型有效场理论中电子中电子的电动偶极矩（EDM）。我们在耦合结构上采用了严格的ansatz，即物质字段的4点耦合是由物质字段的3点耦合产物编写的。我们采用3级有限模块化组，$γ_3$用于风味对称性，并在附近的固定点$τ= i $上讨论偶极子操作员，观察到的Lepton群众和混合角度得到了很好的再现。假设MUON的异常磁矩的异常是新物理学（NP）的证据，我们将其与$（G-2）_ {e} $，LFV衰减和电子EDM相关联。发现NP对$（g-2）_ {e} $的贡献与同样幼稚的缩放的Lepton Masses成正比。我们还讨论了LFV过程$μ\与eγ$，$τ\至μγ$的相关性，以及$τ\ toeγ$，这将来可以测试。电子EDM需要在实际带电的Lepton群众的基础上，相关威尔逊系数的微小部分，该部分与我们的框架中的$μ\ toeγ$过渡有关。
We study the lepton flavor violation (LFV), the leptonic magnetic moments $(g-2)_{μ,\,e} $ and the electric dipole moment (EDM) of the electron in the Standard-Model Effective Field Theory with the $Γ_N$ modular flavor symmetry. We employ the stringy Ansatz on coupling structure that 4-point couplings of matter fields are written by a product of 3-point couplings of matter fields. We take the level 3 finite modular group, $Γ_3$ for the flavor symmetry, and discuss the dipole operators at nearby fixed point $τ=i$, where observed lepton masses and mixing angles are well reproduced. Suppose the anomaly of the anomalous magnetic moment of the muon to be evidence of the new physics (NP), we have related it with $(g-2)_{e}$, LFV decays, and the electron EDM. It is found that the NP contribution to $(g-2)_{e}$ is proportional to the lepton masses squared likewise the naive scaling. We also discuss the correlations among the LFV processes $μ\to eγ$, $τ\to μγ$ and $τ\to eγ$, which are testable in the future. The electron EDM requires the tiny imaginary part of the relevant Wilson coefficient in the basis of real positive charged lepton masses, which is related to the $μ\to eγ$ transition in our framework.
