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Estimation of Radiative Corrections to the Process of Muon-Electron Conversion

2009/02/14 by R. Djilkibaev, Djilkibaev, Rashid M., R. Konoplich +1
Medicine · Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle Detector Development and Performance #Radiation Therapy and Dosimetry

paper · pdf · doi:10.48550/arxiv.0902.2430

openalex publication_date 2009/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In detection of electrons from μ→ e conversion process the monochromatic electron spectrum is transformed due to a photon emission and fluctuations of energy loss in a target. The selection criterion of μ→ e (γ) conversion events is an electron momentum above the threshold momentum of 103.5 MeV/c, which corresponds to the maximum energy loss of 1.5 MeV. Radiative corrections including a virtual photon correction and soft photon emission below 1.5 MeV lead to a reduction by about 10% in the probability of μ→ e conversion process calculated without radiative corrections. The soft photons emission below 1.5 MeV contributes to a change of electron spectrum from monoenergetic one at 105 MeV to a spectrum with a low energy tail for the process of μ→ e (γ) conversion. However the effect of smearing of the initial momentum distribution due to the soft photon emission is small in comparison with a smearing due to energy loss fluctuations in a target. The average energy of soft photons emitted below 1.5 MeV is found to be 40 keV. The soft photon approximation is a good description for μ→ e (γ) conversion process with photons emitted below 1.5 MeV.

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