I investigate a class of models with scalar and pseudoscalar solutions to the anomaly for both the muon and the electron over the mass range of perturbativity ( GeV), with Yukawa couplings proportional to the lepton’s mass. In particular, I investigate the constraints from BaBar, beam dump experiments, decay measured quantities, LEP mono- searches, searches, and solar and horizontal branch (HB) star bounds. For a pseudoscalar, I find that no region in the parameter space can simultaneously provide a solution for both the electron and the muon anomalies while maintaining the required form of the couplings, and therefore, the pseudoscalar solution is disfavored. On the other hand, I find for the scalar case that there is an open window above ~30 MeV in the allowed region, but with significant tension with experiment for the region . In addition, there is a smaller window between ~350 KeV and 1 MeV that is not ruled out by cosmological observations. Part of the first open window is expected to be covered by the proposed NA64 experiment. Similar analysis can be readily applied to other proposed solutions to the anomaly, such as solutions with or with the dark photon.

中文翻译：

---

探查异常的标量和伪标量解

我研究了在微扰性质量范围内对介子和电子的标量和伪标量解的模型。 GeV），其中Yukawa联轴器与轻子的质量成比例。特别是，我研究了来自BaBar，束流转储实验，衰减测量量，LEP单搜索的约束，搜索以及太阳和水平分支（HB）星界。对于伪标量，我发现参数空间中的任何区域都无法同时为电子和μ子异常提供解决方案，同时又保持了所需的耦合形式，因此，伪标量解决方案是不利的。另一方面，对于标量情况，我发现在允许的区域内〜30 MeV以上有一个打开的窗口，但是该区域的实验存在很大的张力。此外，宇宙学观察并未排除〜350 KeV和1 MeV之间的较小窗口。建议的NA64实验预计将覆盖部分打开的窗口。类似的分析可以容易地应用于针对异常的其他提议解决方案，例如具有暗光子或带有暗光子的解决方案。