Lepton-flavor mixing and $K\to \pi \nu \bar{\nu }$ decays

Abstract

The impact of possible sources of lepton-flavor mixing on $K\to \pi \nu \bar{\nu }$ decays is analysed. At the one-loop level lepton-flavor mixing originated from non-diagonal lepton mass matrices cannot generate a CP-conserving $K_L\to {\pi }^0\nu \bar{\nu }$ amplitude. The rates of these modes are sensitive to leptonic flavor violation when there are at least two different leptonic mixing matrices. New interactions that violate both quark and lepton universalities could enhance the CP-conserving component of $\Gamma (K_L\to {\pi }^0\nu \bar{\nu })$ and have a substantial impact. Explicit examples of these effects in the context of supersymmetric models, with and without R-parity conservation, are discussed.

arXiv comment10 pages, 3 figures

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• K -> pi nu nubar from standard to new physics
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• The s ---> d gamma decay in and beyond the Standard Model
• Three Exceptions to the Grossman-Nir Bound
• Theory review on rare K decays: Standard Model and beyond
• New Physics Searches at Kaon and Hyperon Factories