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arXiv 2004.11031hep-ph
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$e$、$μ$和$τ$的反常磁矩和轻子味破坏过程的意义的数据驱动研究

Data-driven study of the implications of anomalous magnetic moments and lepton flavor violating processes of $e$, $μ$ and $τ$

Chun-Khiang Chua

备注：
To appear in Phys. Rev. D; 43 pages, 12 figures
发表信息：
Phys. Rev. D 102, 055022 (2020)
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摘要：

本文研究了$e$、$μ$和$τ$轻子的反常磁矩和味破坏过程。我们使用数据驱动的方法来研究目前的数据对一类模型参数的影响，这类模型具有自旋0标量场和自旋1/2费米子场。我们比较两种不同的情况下，有或没有内置的取消机制。我们的研究结果如下。手性相互作用不能产生足够大的$Δa_e$和$Δa_μ$，以适应实验结果。可通过非手性相互作用产生较大的$Δa_e$和$Δa_μ$，但它们不是来自同一来源。$μ\to eγ$衰减的上限给出了对$μ\to e$跃迁中光子企鹅贡献的最严格约束，但考虑到未来的实验灵敏度，情况可能会发生变化。在$μ\to e$跃迁中，$Z$-penguin图比光子企鹅图能更好地约束手征相互作用.在大多数参数空间中，盒对$μ\to 3e$衰减的贡献是次领先的。在$τ\to e$-$(μ)$跃迁中，$τ\to eγ$-$(μγ)$上限比$τ\to 3 e$-$(3μ)$上限更好地限制了光子企鹅贡献，$Z$ -企鹅振幅比光子企鹅振幅更好地限制了手征相互作用.盒子对$τ\to 3e$和$τ\to 3μ$衰变的贡献有时可以与$Z$ -企鹅贡献相媲美。$τ^-\to e^- μ^+ e^-$和$τ^-\to μ^- e^+ μ^-$速率分别受到$τ\to eγ$、$μ\to eγ$和$τ\to μγ$、$μ\to eγ$上限的高度限制。我们比较了目前的实验上限，未来的灵敏度和界限，从各种μ子和τ LFV过程的一致性。

英文摘要：

We study anomalous magnetic moments and flavor violating processes of $e$, $μ$ and $τ$ leptons. We use a data driven approach to investigate the implications of the present data on the parameters of a class of models, which has spin-0 scalar and spin-1/2 fermion fields. We compare two different cases, which has or does not have a built-in cancelation mechanism. Our findings are as following. Chiral interactions are unable to generate large enough $Δa_e$ and $Δa_μ$ to accommodate the experimental results. Sizable $Δa_e$ and $Δa_μ$ can be generated from non-chiral interactions, but they are not contributed from the same source. The upper limit of $μ\to eγ$ decay gives the most severe constraints on photonic penguin contributions in $μ\to e$ transitions, but the situation may change in considering future experimental sensitivities. The $Z$-penguin diagrams can constrain chiral interaction better than photonic penguin diagrams in $μ\to e$ transitions. In most of the parameter space, box contributions to $μ\to 3e$ decay are subleading. In $τ\to e$ $(μ)$ transitions, the present $τ\to eγ$ $(μγ)$ upper limit constrains the photonic penguin contribution better than the $τ\to 3 e$ $(3μ)$ upper limit, and $Z$-penguin amplitudes constrain chiral interaction better than photonic penguin amplitudes. Box contributions to $τ\to 3e$ and $τ\to 3μ$ decays can sometime be comparable to $Z$-penguin contributions. The $τ^-\to e^- μ^+ e^-$ and $τ^-\to μ^- e^+ μ^-$ rates are highly constrained by $τ\to eγ$, $μ\to eγ$ and $τ\to μγ$, $μ\to eγ$ upper limits, respectively. We compare the current experimental upper limits, future sensitivities and bounds from consistency on various muon and tau LFV processes.

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