Fully differential NLO predictions for the rare muon decay

Abstract

Using the automation program GoSam, fully differential NLO corrections were obtained for the rare decay of the muon $\mu \to e\nu \bar{\nu }ee$. This process is an important Standard Model background to searches of the Mu3e collaboration for lepton-flavour violation, as it becomes indistinguishable from the signal $\mu \to 3e$ if the neutrinos carry little energy. With our NLO program we are able to compute the branching ratio as well as custom-tailored observables for the experiment. With minor modifications, related decays of the tau can also be computed.

arXiv comment10 pages, 2 figures

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• Low-energy lepton physics in the MRSSM: $(g-2{)}_{\mu }$, $\mu \to e\gamma$ and $\mu \to e$ conversion
• The Mu3e Data Acquisition
• High-precision muon decay predictions for ALP searches
• Five-particle contributions to the inclusive rare $\bar{B}\to X_{s(d)}{\ell }^{+}{\ell }^{-}$ decays
• A theory vade mecum for PSI experiments
• Fully differential NLO predictions for rare and radiative lepton decays
• Effective-field theories for charged lepton flavour violation
• Multi-parton contributions to $\bar{B}\to X_s\gamma$ at NLO