在\(B\to K^{(\ast)}νν\)和\(K\to πνν\)衰变中挑战马约拉纳中微子效应
Challenging Majorana neutrino effects in $B\to K^{(\ast)}νν$ and $K\to πνν$ decays
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中文总结 AI 辅助
研究违反轻子数的有效算符对稀有衰变\(B\to K^{(\ast)}\nu\nu\)和\(K\to \pi\nu\nu\)的贡献，通过重整化群分析表明相关标准模型有效场论算符受中微子物理约束，探讨了Belle-II数据及轻右手型中微子扩展模型对稀有介子衰变和低能过程的影响。
中文摘要 AI 辅助
我们研究违反轻子数（LNV）的有效算符对稀有衰变\(B\to K^{(\ast)}\nu\nu\)和\(K\to \pi\nu\nu\)的贡献。此类算符可改变这些过程的运动学分布，成为超出标准模型物理的独特探针。通过重整化群分析，我们表明导致这些效应的标准模型有效场论（SMEFT）算符受到来自中微子物理的严格间接约束。特别是，我们发现 Belle-II 在\(B^+\to K^+\nu\nu\)通道报告的轻微过量无法用 LNV SMEFT 算符解释，除非在中微子质量中引入显著微调。然后我们表明，在通过一个轻的右手型中微子进行最小扩展的 SMEFT 中可以规避这些约束，这使得在稀有介子衰变中有可观的效应。最后，我们探讨了这种可行情景对低能过程的影响，包括无中微子双β衰变。
英文摘要
We investigate the contributions of Lepton Number Violating (LNV) effective operators to the rare decays $B\to K^{(\ast)}νν$ and $K\to πνν$. Such operators can modify the kinematic distributions of these processes, providing distinctive probes of physics beyond the Standard Model. Through a renormalization-group analysis, we show that the Standard Model Effective Field Theory (SMEFT) operators responsible for these effects are subject to stringent indirect constraints from neutrino physics. In particular, we find that the mild excess reported by Belle-II in the $B^+\to K^+νν$ channel cannot be explained by LNV SMEFT operators without introducing significant fine-tuning in neutrino masses. We then show that these constraints can be evaded in the SMEFT minimally extended by a light right-handed neutrino, allowing for sizable effects in rare meson decays. Finally, we explore the implications of this viable scenario for low-energy processes, including neutrinoless double-beta decays.
