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arXiv 2108.00359hep-phhep-exhep-th
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SUSY中CP相的约束：μ子/电子$g-2$和电子EDM的相互作用

Constraining CP-phases in SUSY: an interplay of muon/electron $g-2$ and electron EDM

Song Li, Yang Xiao, Jin Min Yang

备注：
13 pages, 4 figures
发表信息：
Nuclear Physics B 974 (2022) 115629
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摘要：

具有复杂参数的最小超对称标准模型（MSSM）对μ子/电子反常磁偶极矩（$g-2$）和电偶极矩（EDM）有很大的贡献。电子$g-2$与电子EDM相互作用; μ子$g-2$也可以与电子EDM相互作用，假设smuon和selectron质量之间的普遍性，其中任何一个都可以约束MSSM中的相关CP相。在这项工作中，我们首先使用这样的相互作用，推导出一个近似的分析上限的相关CP阶段。然后，我们广泛地扫描参数空间，以获得更准确的上限。我们得到了以下观测结果：（i）在$2σ$范围内的μ子$g-2$与电子EDM上限相结合（假设smuon和selectron质量之间的普适性）通常将相关CP相约束在$1.9\times 10^{-5} (\text{rad})$下;（ii）在$2σ$范围内的电子$g-2$（伯克利）与电子EDM上限相互作用（不假设smuon和selectron质量之间的普适性）将相关CP相约束在$3.9\times 10^{-6}(\text{rad})$之下（也需要μ on $g-2$在允许的$2σ$范围内）。我们还发现了一些特殊的取消参数空间中，可以放松几个订单的约束。对CP相的这种严格限制可能对超对称性模型的建立构成挑战，即，如何自然地抑制这些阶段。

英文摘要：

The minimal supersymmetric standard model (MSSM) with complex parameters can contribute sizably to muon/electron anomalous magnetic dipole momemnt ($g-2$) and electric dipole moment (EDM). The electron $g-2$ interplays with electron EDM; the muon $g-2$ can also interplay with electron EDM assuming the universality between smuon and selectron masses, either of which can constrain the relevant CP-phases in the MSSM. In this work, we first use such an interplay to derive an approximate analytical upper limit on the relevant CP-phase. Then we extensively scan the parameter space to obtain more accurate upper limits. We obtain the following observations: (i) The muon $g-2$ in the $2σ$ range combined with the electron EDM upper limit (assuming the universality between smuon and selectron masses) typically constrains the relevant CP-phase under $1.9\times 10^{-5} (\text{rad})$; (ii) The electron $g-2$ in the $2σ$ range (Berkeley) interplays with the electron EDM upper limit (without assuming the universality between smuon and selectron masses) constrains the relevant CP-phase under $3.9\times 10^{-6}(\text{rad})$ (also requiring muon $g-2$ in the allowed $2σ$ range). We also find some special cancellations in the parameter space which can relax the constraints by a couple of orders. Such stringent limits on CP-phases may pose a challenge for model building of SUSY, i.e., how to naturally suppress these phases.

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。

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