The effective-Lagrangian description of Lorentz-invariance violation provided by the so-called Standard Model extension covers all the sectors of the Standard Model, allowing for model-independent studies of high-energy phenomena that might leave traces at relatively low energies. In this context, the quantification of the large set of parameters characterizing Lorentz-violating effects is well motivated. In the present work, effects from the Lorentz-nonconserving Yukawa sector on the electromagnetic moments of charged leptons are calculated, estimated, and discussed. Following a perturbative approach, explicit expressions of leading contributions are derived, and upper bounds on Lorentz violation are estimated from current data on electromagnetic moments. Scenarios regarding the coefficients of Lorentz violation are considered. In a scenario of two-point insertions preserving lepton flavor, the bound on the electron electric dipole moment yields limits as stringent as ${10}^{-27}$, whereas muon and tau-lepton electromagnetic moments determine bounds as restrictive as ${10}^{-14}$ and ${10}^{-5}$, respectively. Another scenario defined by the assumption that Lorentz-violating Yukawa couplings are Hermitian leads to less stringent bounds provided by the muon anomalous magnetic moment, which turn out to be as restrictive as ${10}^{-14}$.

中文翻译：

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轻子电磁矩约束洛伦兹违反Yukawa耦合的界

所谓的标准模型扩展提供了有效的拉格朗日违约定律描述，涵盖了标准模型的所有部分，从而可以独立于模型研究高能现象，而高能现象可能会留下相对较低能量的痕迹。在这种情况下，对表征洛伦兹违反效应的大量参数进行量化的动机很强。在当前的工作中，计算，估计和讨论了Lorentz非守恒Yukawa扇区对带电轻子的电磁矩的影响。遵循摄动法，得出了主要贡献的明确表达式，并根据当前的电磁矩数据估算了洛伦兹违规的上限。考虑了有关违反洛伦兹的系数的方案。${10}^{-27}$，而μon和tau-lepton电磁矩将边界确定为 ${10}^{-14}$ 和 ${10}^{-5}$， 分别。另一个假设是，违反洛伦兹的Yukawa耦合是Hermitian假设，导致由μ子磁矩异常磁矩提供的约束较不严格，事实证明，约束的局限性与${10}^{-14}$。