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- Title
Rare tau decays via exchange of on-shell almost degenerate Majorana neutrinos, τ<sup>∓</sup> → π<sup>∓</sup>N<sub>j</sub> → π<sup>∓</sup>μ<sup>∓</sup>π<sup>±</sup> and τ<sup>∓</sup> → π<sup>∓</sup>N<sub>j</sub> → π<sup>∓</sup>μ<sup>±</sup>π<sup>∓</sup>.
- Authors
Cvetič, Gorazd; Kim, C. S.
- Abstract
We investigate rare decays of tau leptons that occur via exchange of heavy on-shell neutrinos Nj (j = 1, 2). These neutrinos can be either Dirac or Majorana, and are considered to be almost degenerate in mass. The decays can thus be either lepton number conserving (LNC), τ∓ → π∓Nj → π∓μ∓π±, or lepton number violating (LNV), τ∓ → π∓Nj → π∓μ±π∓. If neutrinos are Dirac, only LNC decays are possible. If they are Majorana, both LNC and LNV are possible. We derive the corresponding expressions for the effective decay widths Γ eff , ∓ X (X=LNC, LNV) of these rare decays, where we account for N1-N2 overlap and oscillation effects and for the finite detector length effects. We then numerically evaluate these decay widths as well as the related CP violation asymmetry width ∆ Γ CP X = Γ eff , − X − Γ eff , + X . We conclude that for certain, presently allowed, ranges of the heavy-light neutrino mixing parameters, such decays and asymmetries could be observed in Belle II experiment.
- Publication
Journal of High Energy Physics, 2024, Vol 2024, Issue 2, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP02(2024)215