从Scotogenic模型中的暗物质和轻子味违反现象中涌现的中微子纹理几何
Emergent Neutrino Texture Geometry from Dark Matter and Lepton Flavor Violation in the Scotogenic Model
AI总结：
研究Scotogenic模型中中微子纹理结构的涌现，通过大规模Casas--Ibarra参数扫描，结合轻子味违反和暗物质约束，发现现象一致性条件动态产生近似抑制，揭示参数空间中的非平凡味几何结构，识别出(eμ)和(eτ)部分的自然抑制，同时对角元素抵抗抵消，并比较正常和倒置质量层次，分析简化与完整Casas--Ibarra几何，确定暗物质与味观测可量之间的近似标度关系。
摘要：
我们通过大规模Casas--Ibarra参数扫描研究Scotogenic最小模型中近似中微子纹理结构的出现，该扫描受轻子味违反和暗物质约束。我们证明近似抑制可以从现象一致性条件动态产生。 relic密度要求、辐射中微子质量生成和轻子味违反可观测物的相互作用，在参数空间中诱导出非平凡的味几何结构。 特别是(eμ)和(eτ)部分的抑制自然出现，而对角元素强烈抵抗抵消。我们进一步比较正常和倒置质量层次，分析简化与完整Casas--Ibarra几何，并确定暗物质与味观测之间的近似标度关系。我们的结果表明，涌现的味结构可能是辐射中微子质量生成的动力学结果，而不是外部施加的味对称性。
英文摘要：
We investigate the emergence of approximate neutrino texture structures in the minimal scotogenic model through large-scale Casas--Ibarra parameter scans subject to lepton flavor violation and dark matter constraints. We demonstrate that approximate suppressions can dynamically emerge from phenomenological consistency conditions. The interplay between relic density requirements, radiative neutrino mass generation, and lepton flavor violating observables induces a nontrivial flavor geometry in parameter space. Particular suppressions in the $(eμ)$ and $(eτ)$ sectors arise naturally, while diagonal entries strongly resist cancellation. We further compare normal and inverted mass hierarchies, analyze reduced versus full Casas--Ibarra geometries, and identify approximate scaling relations linking dark matter and flavor observables. Our results suggest that emergent flavor structures may represent dynamical consequences of radiative neutrino mass generation rather than externally imposed flavor symmetries.
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