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

• DOI: 10.48550/arxiv.0902.2430
• Publication Date: 2009-01-01
• Authors: Djilkibaev, Rashi...; Konoplich, Rostis...
• Keywords: High Energy Physics - Phenomenology; High Energy Physics - Phenomenology (hep-ph); FOS: Physical sciences; 7. Clean energy

16 pages, 8 figures<br/>In detection of electrons from $��\to 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 $��\to e (��)$ 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 $��\to 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 $��\to e (��)$ 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 $��\to e (��)$ conversion process with photons emitted below 1.5 MeV.<br/>