Abstract
We present the differential decay rates and the branching ratios of the muon decay with internal conversion, \( \mu \to e\kern0.22em \left({e}^{+}{e}^{-}\right)\;\nu \kern0.2em \overline{\nu} \), in the Standard Model at next-to-leading order (NLO) in the on-shell scheme. This rare decay mode of the muon is among the main sources of background to the search for μ → eee decay. We found that in the phase space region where the neutrino energies are small, and the three-electron momenta have a similar signature as in the μ → eee decay, the NLO corrections decrease the leading-order prediction by about 10 − 20% depending on the applied cut.
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Fael, M., Greub, C. Next-to-leading order prediction for the decay \( \mu \to e\kern0.22em \left({e}^{+}{e}^{-}\right)\;\nu \kern0.2em \overline{\nu} \) . J. High Energ. Phys. 2017, 84 (2017). https://doi.org/10.1007/JHEP01(2017)084
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DOI: https://doi.org/10.1007/JHEP01(2017)084