LAUSR

A bstractWe explore supersymmetric contributions to the decay KS0 → μ+μ−, in light of current experimental data. The Standard Model (SM) predicts ℬKS0→μ+μ−≈5×10−12$$ \mathrm{\mathcal{B}}\left({K}_S^0\to {\mu}^{+}{\mu}^{-}\right)\approx 5\times {10}^{-12} $$. We find that contributions arising from flavour violating Higgs penguins can enhance the branching fraction up to ≈ 35 × 10−12 within different scenarios of the Minimal Supersymmetric Standard Model (MSSM), as well as suppress it down to ≈ 0.78 × 10−12. Regions with fine-tuned parameters can bring the branching fraction up to the current experimental upper bound, 8 × 10−10. The mass degeneracy of the heavy Higgs bosons in MSSM induces correlations between ℬKS0→μ+μ−andℬKL0→μ+μ−$$ \mathrm{\mathcal{B}}\left({K}_S^0\to {\mu}^{+}{\mu}^{-}\right)\;\mathrm{and}\;\mathrm{\mathcal{B}}\left({K}_L^0\to {\mu}^{+}{\mu}^{-}\right) $$. Predictions for the CP asymmetry in K0 → μ+μ− decays in the context of MSSM are also given, and can be up to eight times bigger than in the SM.