Next-to-leading order prediction for the decay μ → e (e+e−) νν ̄

Fael, Matteo; Greub, Christoph (2017). Next-to-leading order prediction for the decay μ → e (e+e−) νν ̄. Journal of High Energy Physics, 2017(1) Springer 10.1007/JHEP01(2017)084

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We present the differential decay rates and the branching ratios of the muon decay with internal conversion, μ → e (e+e−) νν ̄, 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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