Electron to Muon Conversion in Low-Energy Electron-Nucleus Scattering

Details Electron to Muon Conversion in Low-Energy Electron-Nucleus Scattering Electron to Muon Conversion in Low-Energy Electron-Nucleus Scattering

2004-03-24

arxiv.org/abs/hep-ph/0403251v1

Nucl.Phys. B697 (2004) 387-396

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 1 figure

Scientific paper

10.1016/j.nuclphysb.2004.07.034

We present an estimate of the electron to muon conversion cross section in fixed-target elastic electron scattering. The matrix element $<\mu | j_\mathrm{em}^\mu(0) | e>$ is calculated analytically in two scenarios introducing suitable approximations. We consider on the one hand side the case of three light Dirac neutrinos with CKM-type leptonic mixing and on the other hand a typical see-saw scenario. We evaluate the coulombic contribution to the scattering cross section in the limit of vanishing energy transfer to the nucleus and, thus, obtain a realistic estimate for the total conversion cross section. Although we find that in the see-saw scenario the cross section can be enhanced by as much as twenty orders of magnitude in comparison to the Dirac case, it is still not experimentally accessible.

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