The lepton number and flavor violations are important possible ingredients of the lepton physics. The neutrinoless double beta decay and the transition of the muonium into antimuonuim are related to those violations. The former can give us an essential part of fundamental physics, and there are plenty of experimental attempts to observe the process. The latter has also been one of the attractive phenomena, and the experimental bound will be updated in planned experiments at new high-intensity muon beamlines. In models with a doubly charged scalar, not only can those two processes be induced, but also the active neutrino masses can be induced radiatively. The flavor violating decays of the charged leptons constrain the flavor parameters of the models. We study how the muonium-to-antimuonium transition rate can be as large as the current experimental bound, and we insist that the updated bound of the transition rate will be useful to distinguish the models to generate the neutrinoless double beta decay via the doubly charged scalar. We also study a possible extension of the model to the left-right model which can induce the neutrinoless double beta decay.

中文翻译：

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具有双电荷标量的模型中的无中微子双 β 衰变和 μ 到锶跃迁

轻子数和风味违规是轻子物理学的重要可能成分。无中微子的双β衰变和 muonium 向 antimuonuim 的转变与这些违反有关。前者可以为我们提供基础物理学的重要组成部分，并且有大量的实验尝试来观察这个过程。后者也是吸引人的现象之一，实验界限将在新的高强度μ子光束线的计划实验中更新。在具有双电荷标量的模型中，不仅可以诱导这两个过程，而且还可以辐射诱导活跃的中微子质量。带电轻子的风味破坏衰减限制了模型的风味参数。我们研究了 muon-antimuonium 跃迁率如何与当前的实验界限一样大，并且我们坚持认为，更新后的跃迁率界限将有助于区分模型以通过双电荷产生无中微子双 beta 衰变标量。我们还研究了该模型对左右模型的可能扩展，该模型可以诱导无中微子双β衰变。