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arXiv 2006.00281hep-phhep-exnucl-th
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标准模型中夸克能级和强子对带电轻子电偶极矩的贡献

Quark level and hadronic contributions to the electric dipole moment of charged leptons in the standard model

Yasuhiro Yamaguchi, Nodoka Yamanaka

摘要:

我们在标准模型中计算了带电轻子的电偶极矩,其中Cabibbo-Kobayashi-Maskawa矩阵的复相位是CP破坏的唯一来源。我们首先证明,在夸克胶子水平上,它是抑制的$m_b^2 m_c^2 m_s^2$的一个因素,在所有的订单微扰由于Glashow-Iliopoulos-Maiani机制。在单圈水平上计算了矢量介子产生的强子长距离贡献。利用因式分解导出了$|ΔS|=1$弱强子相互作用,而强相互作用则用隐局域对称框架来模拟。我们发现,从这个强子机制得到的带电轻子的电偶极矩比微扰四圈水平夸克胶子过程大得多,由几个数量级。

英文摘要:

We evaluate the electric dipole moment of charged leptons in the standard model, where the complex phase of the Cabibbo-Kobayashi-Maskawa matrix is the only source of CP violation. We first prove that, at the quark-gluon level, it is suppressed by a factor of $m_b^2 m_c^2 m_s^2$ at all orders of perturbation due to the Glashow-Iliopoulos-Maiani mechanism. We then calculate the hadronic long distance contribution generated by vector mesons at one-loop level. The $|ΔS|=1$ weak hadronic interaction is derived using the factorization, and the strong interaction is modeled by the hidden local symmetry framework. We find that the electric dipole moments of charged leptons obtained from this hadronic mechanism are much larger than the perturbative four-loop level quark-gluon process, by several orders of magnitude.

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