Probing SUSY effects in KS0\u2009\u2192\u2009\u03bc+\u03bc\u2212

Abstract

We explore supersymmetric contributions to the decay KS0 → μ+μ−, in light of current experimental data. The Standard Model (SM) predicts mathrm{mathcal{B}}left({K}_S^0to {mu}^{+}{mu}^{-}right)approx 5times {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 mathrm{mathcal{B}}left({K}_S^0to {mu}^{+}{mu}^{-}right);mathrm{and};mathrm{mathcal{B}}left({K}_L^0to {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.