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arXiv 0812.1355hep-ph
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稀有μ子衰变$μ^+ \to e^+e^-e^+ν_e\bar{ν_μ}$

Rare Muon Decay $μ^+ \to e^+e^-e^+ν_e\bar{ν_μ}$

Rashid M. Djilkibaev, Rostislav V. Konoplich

摘要:

计算了稀有μ子衰变$μ^+ \to e^+e^-e^+ν_e\bar{ν_μ}$的自旋平均振幅平方的解析表达式。利用振幅的解析表达式进行蒙特卡罗相空间模拟,得到了各种带电轻子的微分分布。给出了带电轻子在端点附近的总能谱的近似解析表达式。考虑到实验能量分辨率,研究了分支比对带电轻子总能量削减的依赖性。结果表明,所测得的分支比对能量分辨率非常敏感。

英文摘要:

An analytical expression for the spin-averaged amplitude squared of the rare muon decay $μ^+ \to e^+e^-e^+ν_e\bar{ν_μ}$ is calculated. Monte Carlo phase space simulation using the analytical expression for the amplitude has been used to get various differential distributions of charged leptons. The approximate analytical expression for the total energy spectrum of charged leptons near the end point is presented. The dependence of branching ratio on cuts in total energy of charged leptons is studied taking into account an experimental energy resolution. It is shown that the measured branching ratio is very sensitive to the energy resolution.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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