AI 中文总结
本文在G3HDM模型中系统研究顶夸克味改变中性流和带电轻子味破坏过程，发现t→c h1和h1→μτ显著增强，且铝中μ-e转换率可达下一代实验灵敏度。
AI 中文摘要
本文在CP守恒的三代三希格斯二重态模型（G3HDM）中，系统研究了顶夸克味改变中性流衰变、带电轻子味破坏过程以及相干μ-e转换，包括相关的树图和单圈贡献。4839个采样点通过了保守的充分真空稳定性条件、必要的微扰幺正性预选截断、希格斯质量和信号强度约束、电弱精确数据、UTfit 2025中性介子混合范围、\overline{B}\to X_s\gamma以及B_s\to\mu^+\mu^-等限制。在扫描区域内，Br(t\to c h_1)\leq 1.04\times10^{-5}，Br(h_1\to\mu\tau)\leq 4.83\times10^{-4}，而最大转换率为CR(\mu\mathrm{Al}\to e\mathrm{Al})\approx 4.95\times10^{-15}和CR(\mu\mathrm{Au}\to e\mathrm{Au})\approx 1.05\times10^{-14}。主要的对撞机信号主要由树图级味改变中性希格斯耦合驱动，这些耦合决定了这些过程的相对强度，并导致t\to c h_1和h_1\to\mu\tau的显著增强。同时，铝中预测的μ-e转换率上限处于下一代μ-e转换实验的灵敏度范围内。
英文摘要
In this work, we systematically investigate top-quark flavor-changing neutral-current decays, charged-lepton flavor-violating processes, and coherent $μ-e$ conversion in the CP-conserving generational three-Higgs-doublet model (G3HDM), including the relevant tree-level and one-loop contributions. The 4839-point sample passes conservative sufficient vacuum-stability conditions, necessary perturbative-unitarity preselection cuts, Higgs-mass and signal-strength constraints, electroweak precision data, the UTfit 2025 neutral-meson-mixing ranges, $\overline{B}\to X_sγ$, and $B_s\toμ^+μ^-$. In the scanned region, $\mathrm{Br}(t\to c h_1)\leq 1.04\times10^{-5}$ and $\mathrm{Br}(h_1\toμτ)\leq 4.83\times10^{-4}$, while the maximal conversion rates are $\mathrm{CR}(μ\mathrm{Al}\to e\mathrm{Al})\approx 4.95\times10^{-15}$ and $\mathrm{CR}(μ\mathrm{Au}\to e\mathrm{Au})\approx 1.05\times10^{-14}$. The dominant collider signals are mainly driven by tree-level flavor-changing neutral-Higgs couplings, which determine the relative strengths of these processes and induce the pronounced enhancement of $t\to c h_1$ and $h_1\toμτ$. Meanwhile, the upper range of the predicted $μ-e$ conversion rate in aluminum lies within the sensitivity reach of next-generation $μ-e$ conversion experiments.
