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

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

2008-12-07

arxiv.org/abs/0812.1355v1

Phys. Rev. D 79, 073004, 2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 4 figures

Scientific paper

10.1103/PhysRevD.79.073004

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.

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