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arXiv 2106.03384hep-ph
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消失或不消失的彩虹?电偶极矩的换算公式

Vanishing or non-vanishing rainbow? Reduction formulas of electric dipole moment

Motoko Fujiwara, Junji Hisano, Takashi Toma

摘要:

本文导出了费米子电偶极矩的简化公式。在标准模型中,由于规范对称性的存在,在双圈水平上计算中子EDM时,由$W$玻色子交换引起的彩虹图之间会出现非平凡的相消。费米子自能和顶点修正通过Ward-Takahashi恒等式联系起来,这种联系导致了EDM的精确抵消。通过引入费米子自能的形状因子和顶点修正,我们导出了更一般情况下的EDM公式,从而使导出的公式适用于更大的一类模型。我们的结论是,非零的EDM的贡献诱导彩虹型图与手征翻转的内部费米子的影响。我们还讨论了其他可能的一般化的EDM计算,这是适用于其他类别的模型。

英文摘要:

In this paper, we derive a simplified formula of electric dipole moments (EDMs) of a fermion. In the Standard Model, it is well-known that non-trivial cancellations between some rainbow-type diagrams induced by $W$ boson exchanges occur in the calculation of the neutron EDM at the two-loop level due to the gauge symmetry. The fermion self-energy and the vertex correction are related through the Ward-Takahashi identity, and this relation causes the exact cancellation of the EDM. We derive EDM formulas for a more general setup by introducing the form factors for the fermion self-energy and the vertex correction so that the derived formulas can be applicable to a larger class of models. We conclude that the non-zero EDM contributions are induced from rainbow-type diagrams with the chirality flipping effects for internal fermions. We also discuss the other possible generalization of the EDM calculation which is applicable to the other classes of models.

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