2008/12/07 by R. Djilkibaev, Rashid M. Djilkibaev, R. Konoplich +1
Mathematics · Physics and Astronomy · #Amplitude #Atomic physics #Dark Matter and Cosmic Phenomena #Electron #Lepton #Mathematics #Monte Carlo method #Muon #Neutrino Physics Research #Nuclear physics #Optics #Particle physics #Particle physics theoretical and experimental studies #Physics #Statistics #hep-ph
paper · pdf · doi:10.1103/physrevd.79.073004
published as Phys.Rev.D79:073004,2009 · 11 pages, 4 figures
arxiv created 2008/12/07 · openalex publication_date 2009/04/08 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
An analytical expression for the spin-averaged amplitude squared of the rare muon decay \ensuremathμ+\ensuremath→e+e^\ensuremath-e+\ensuremathνe\ensuremathν_\ensuremathμ 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 the branching ratio on cuts in the 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.