Charged-lepton-flavour violation in kaon decays in supersymmetric theories

  • A. Belyaev
  • M. Chizhov
  • A. Dorokhov
  • J. Ellis
  • M.E. Gómez
  • S. Lola
Theoretical physics

Abstract.

We discuss rare kaon decays that violate charged-lepton flavour conservation in supersymmetric theories with and without R parity, in view of possible experiments using an intense proton source as envisaged for a neutrino factory. In the minimal supersymmetric standard model, such decays are generated by box diagrams involving charginos and neutralinos, but the limits from \(\mu \rightarrow e \gamma, \mu\)e conversion and \(\Delta m_K\) constrain the branching ratios to challengingly small values. However, this is no longer the case in R-violating theories, where such decays may occur at tree level at rates close to the present experimental limits. Within this framework, we obtain bounds on products of \(LL\bar{E}\) and \(LQ\bar{D}\) operators from the experimental upper limits on \(K^0 \rightarrow \mu^\pm e^\mp\) and \(K^{\pm,0} \rightarrow \pi^{\pm,0} \mu^\pm e^\mp\) decays. We also note the possibility of like-sign lepton decays \(K^\pm \rightarrow \pi^\mp \ell^\pm \ell^\pm\) in the presence of non-zero \(\tilde{b}_{\mathrm{L}}\)\(\tilde{b}_{\mathrm{R}}\) mixing. We conclude that rare kaon decays violating charged-lepton flavour conservation could be an interesting signature of R violation.

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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002

Authors and Affiliations

  • A. Belyaev
    • 1
  • M. Chizhov
    • 2
  • A. Dorokhov
    • 4
  • J. Ellis
    • 3
  • M.E. Gómez
    • 5
  • S. Lola
    • 3
  1. 1.Skobeltsyn Institute for Nuclear Physics, Moscow State University, 119 899 Moscow, Russia RU
  2. 2.Centre for Space Research and Technologies, Faculty of Physics, University of Sofia, 1164 Sofia, Bulgaria BG
  3. 3.Theory Division, CERN, 1211 Geneva 23, Switzerland CH
  4. 4.Bogoliubov Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, 141 980 Dubna, Russia RU
  5. 5.CFIF, Departamento de Fisica, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal PT

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