Measuring the muon EDM at Fermilab g-2 and confirming the hadronic contribution to the muon MDM using MuonE.

g-2实验通过将正介子注入一个存储环并测量它们在环中运行时的衰变正电子，来监测介子在磁场中前进时的自旋方向。利用介子的进动速度计算了介子磁偶极矩（MDM）和介子电偶极矩（EDM）。g因子是将介子MDM与其自旋、电荷和质量联系起来的比例常数。最初狄拉克计算μ子的g因子为2，但由于与虚粒子的相互作用，g因子发生了改变，这种差异被量化为反常磁偶极矩（AMM）。许多带有虚拟粒子的进程都会导致这种轻微的变化——其中包括包含新粒子的进程，因此MDM测量可以作为新物理的探针。如果g因子（或EDM）的理论值和实验值之间存在显著差异，这将暴露标准模型（SM）中的新差异。AMM和EDM的尺寸可以用来限制新粒子和模型的性质。MUonE也非常重要，因为它有助于确保g-2发现和理论MDM值的有效性。虽然强子对MDM的贡献比其他贡献小，但它们产生的不确定性最大，因此为了验证g-2理论预测，必须降低强子对MDM的不确定性。这是在MUonE实验中通过研究介子电子散射来完成的，在这个实验中，介子束会从一个静止的电子目标散射出去。MUonE将测量和确定过程的微分截面的形状，并用它来计算强子对MDM的贡献。我将分析在费米实验室获得的最后g-2数据，并完成EDM测量，这将是对μ子EDM最敏感的测量。我还将优化探测器的设计和方向，并致力于MUonE的测试和首次运行

The g-2 experiment monitors the orientation of a muon's spin as it precesses in a magnetic field by injecting positive muons into a storage ring and measuring the decay positrons as they orbit in the ring. The speed of the muons' precession is used to calculate the muon magnetic dipole moment (MDM) as well as the muon electric dipole moment (EDM).The g-factor is a proportionality constant that relates the muon MDM to its spin, charge, and mass. Originally Dirac calculated it as 2 for muons but because of interactions with virtual particles, the g-factor is altered, and the difference is quantified as the anomalous magnetic dipole moment (AMM). Many processes with virtual particles contribute to this slight alteration - these include processes containing new particles and thus the MDM measurement acts as a probe for New Physics. If there is a significant difference between the theoretical and experimental values for the g-factor (or for the EDM), this will expose new discrepancies within the Standard Model (SM). The size of the AMM and EDM can be used to restrict the properties of new particles and models. MUonE is also extremely important as it will help to ensure the validity of the g-2 discovery and the theoretical MDM value.Though hadronic contributions to the MDM are smaller than other contributions, they produce the largest uncertainties, and so to validate the g-2 theoretical prediction, the uncertainty from this sector must be reduced. This is done in the MUonE experiment by investigating muon-electron scattering, where a muon beam will scatter off a stationary electron target. MUonE will measure and determine the shape of the differential cross section of the process and use this to calculate the hadronic contribution to the MDM.I will be analysing the final g-2 data run taken at Fermilab and completing the EDM measurement, which will be the most sensitive measurement of the muon EDM. I will also be optimising the detector design and orientation and working on the tests and first runs of MUonE