Searches for Lepton Number Violation and resonances in the $K^{\pm}\rightarrow πμμ$ decays at the NA48/2 experiment

The NA48/2 experiment at CERN collected a large sample of charged kaon decays into final states with multiple charged particles in 2003--2004. A new upper limit on the rate of the lepton number violating decay $K^{\pm}\toπ^{\mp}μ^{\pm}μ^{\pm}$ obtained from this sample is reported: $\mathcal{B}(K^{\pm}\toπ^{\mp}μ^{\pm}μ^{\pm})<8.6 \times 10^{-11}$ at 90\% CL. Searches for two-body resonances in the $K^{\pm}\toπμμ$ decays (including heavy neutral leptons~$N_4$ and inflatons~$χ$) in the accessible range of masses and lifetimes are also presented. In the absence of a signal, upper limits are set on the products of branching ratios~$\mathcal{B}(K^{\pm}\toμ^{\pm}N_4)\mathcal{B}(N_4\toπμ)$ and $\mathcal{B}(K^{\pm}\toπ^{\pm}χ)\mathcal{B}(χ\toμ^+μ^-)$ as functions of the resonance mass and lifetime. These limits are in the $10^{-10}-10^{-9}$ range for resonance lifetimes below 100~ps.

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