冻结自旋储存环中广义相对论效应理论预测的澄清
Clarification on theoretical predictions for general relativistic effects in frozen spin storage rings
摘要：
粒子的电磁矩携带关于其内部结构以及描述其基础场论的有效拉格朗日量的结构的重要信息。电偶极矩（EDM）是这类观测中最清晰的一个，因为标准模型的估计值非常小，远小于10^-30 ecm，而几个超标准模型（BSM）理论恰好预测基本粒子或强子的EDM为10^-28 ecm量级。到目前为止，精密EDM上限主要是通过冷中子实验和间接测量电子的中子。因此，近年来，人们对直接测量带电粒子（如电子、质子、μ子或轻核）的EDM越来越感兴趣。这种测量在相对论储存环中成为可能，称为冻结自旋储存环。由于地球的引力场，包括广义相对论（GR）在内的许多环境因素为EDM信号提供了系统背景。事实证明，根据实验方案，GR效应可以远高于计划的EDM灵敏度。因此，它既是系统学的一个来源，也可以作为GR独立测试的副产品实验。有一些理论论文量化了GR系统学，结果略有不同。本文的目的是澄清这些说法，最终试图调和这些预测，并推导出它们的实验含义。最后一节的文件量化的字段缺陷系统误差取消的情况下，所谓的双冻结自旋存储环设置，在理想化的轴对称限制。
英文摘要：
Electromagnetic moments of particles carry important information on their internal structure, as well as on the structure of the effective Lagrangian describing their underlying field theory. One of the cleanest observable of such kind is the electric dipole moment (EDM), since Standard Model estimates would imply very small, much less then 10^-30 ecm value for that quantity, whereas several Beyond Standard Model (BSM) theories happen to predict of the order of 10^-28 ecm EDM for elementary or hadronic particles. So far, precision EDM upper bounds are mainly available for neutrons via cold neutron experiments, and indirect measurements for electrons. Therefore, in the recent year there has been a growing interest for direct measurement of EDM for charged particles, such as electrons, protons, muons or light nuclei. Such measurements become possible in relativistic storage rings, called frozen spin storage rings. Many environmental factors give systematic backgrounds to the EDM signal, including General Relativity (GR), due to the gravitational field of the Earth. It turns out that, depending of the experimental scenario, the GR effect can be well above the planned EDM sensitivity. Therefore, it is both of concern as a source of systematics, as well as it can serve as a spin-off experiment for an independent test of GR. There are a handful of theoretical papers quantifying the GR systematics, delivering slightly different results. The aim of this paper is to clarify these claims, eventually try to reconcile these predictions, and to deduce their experimental implications. The closing section of the paper quantifies the field imperfection systematic error cancellation in the case of a so-called doubly-frozen spin storage ring setting, in the idealized axial symmetric limit.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
