Bs→μ+μ− and B→Xsμ+μ− in MSSM Original Research Article

Pure leptonic and semileptonic rare B decays, Bs→μ+μ− and B→Xsμ+μ− in the minimal supersymmetric Standard Model (MSSM), in particular, gluino and neutralino contributions to the decays, are discussed under Br(B→Xsγ) and other experimental constraints. The general scalar quark mass matrices as the new sources of flavor violation are considered. We present Wilson coefficients of bs transitions from γ, Z, and neutral Higgs boson penguin diagrams by using vertex mixing method to deal with scalar down-type quark flavor changing and also give their expressions in MIA to show different sources of enhancements. We find that under the experimental constraints, with large mixing of left- and right-handed sbottom, C(′)10 can be enhanced by 10% compared with SM, in two cases, heavy gluino and fine-tuning between δdLL23(δdRR23) and δdLR23(δdRL23) terms in C(′)7. Particularly, C10 and C10′ can reach a 20% enhancement in some regions of parameters under experimental constraints. When CP-odd Higgs A0 is not too heavy (∼250 GeV), and tanβ is large (∼40), neutral Higgs boson penguins with gluino and down-type squark in the loop can significantly contribute to the bs transition and the contributions can compete with those due to the chargino and up-type squark loop.