Rare Muon Decay $\mu^+ \to e^+e^-e^+\nu_e\bar{\nu_\mu}$
Rare Muon Decay $\mu^+ \to e^+e^-e^+\nu_e\bar{\nu_\mu}$
复制标题
稀有介子衰变 $mu^ o e^ e^-e^ u_ear{ u_mu}$
DOI：
10.1103/physrevd.79.073004
复制
发表时间：
2008
影响因子：
5
通讯作者：
R. Konoplich
中科院分区：
文献类型：
--
作者：
R. Djilkibaev;R. Konoplich
计算了稀有μ子衰变$\mu^+ \to e^+e^-e^+\nu_e\bar{\nu_\mu}$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，得到了带电轻子的各种微分分布。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。它表明，测量的分支比是非常敏感的能量分辨率。
An analytical expression for the spin-averaged amplitude squared of the rare muon decay $\mu^+ \to e^+e^-e^+\nu_e\bar{\nu_\mu}$ 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.