The $U(1)$ extension of the supersymmetric standard model is the extension of the minimal supersymmetric standard model, and its local gauge group is $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y\times U(1{)}_X$. We study lepton flavor violating (LFV) decays $Z\to {l_i}^{\pm }{l_j}^{\mp }$ ($Z\to e\mu$, $Z\to e\tau$, and $Z\to \mu \tau$) and $h\to {l_i}^{\pm }{l_j}^{\mp }$ ($h\to e\mu$, $h\to e\tau$, and $h\to \mu \tau$) in this model. In the numerical results, the branching ratios of $Z\to {l_i}^{\pm }{l_j}^{\mp }$ are from ${10}^{-9}$ to ${10}^{-13}$, and the branching ratios of $h\to {l_i}^{\pm }{l_j}^{\mp }$ are from ${10}^{-3}$ to ${10}^{-9}$, which can approach the present experimental upper bounds. Based on the latest experimental data, we analyze the influence of different sensitive parameters on the branching ratio and make reasonable predictions for future experiments. The main sensitive parameters and LFV sources are the nondiagonal elements corresponding to the initial and final generations of leptons, which can be seen from the numerical analysis.

中文翻译：

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Zboson衰变Z→li±lj∓和希格斯玻色子衰变sh→li±lj∓在MSSM的aU（1）扩展中具有轻子味违规

这$ü(1)$超对称标准模型的扩展是最小超对称标准模型的扩展，其局部规范群是$\mathrm{小号}ü(3{)}_C\times \mathrm{小号}ü(2{)}_{\mathrm{大号}}\times ü(1{)}_{是}\times ü(1{)}_X$. 我们研究轻子风味违规 (LFV) 衰减$Z\to {l_{\mathrm{一世}}}^{\pm }{l_j}^{\mp }$($Z\to e\mu$,$Z\to e\tau$， 和$Z\to \mu \tau$） 和$H\to {l_{\mathrm{一世}}}^{\pm }{l_j}^{\mp }$($H\to e\mu$,$H\to e\tau$， 和$H\to \mu \tau$) 在这个模型中。在数值结果中，支化率$Z\to {l_{\mathrm{一世}}}^{\pm }{l_j}^{\mp }$来自${10}^{-9}$至${10}^{-13}$, 和支化率$H\to {l_{\mathrm{一世}}}^{\pm }{l_j}^{\mp }$来自${10}^{-3}$至${10}^{-9}$，可以接近目前的实验上限。基于最新的实验数据，我们分析了不同敏感参数对支化率的影响，并对未来的实验做出合理的预测。主要敏感参数和LFV源是轻子初代和末代对应的非对角元素，从数值分析可以看出。