B\to X_s\gamma, X_s l^+ l^- decays and constraints on the mass insertion parameters in the MSSM

In this paper, we study the upper bounds on the mass insertion parameters $({\delta }_{AB}^q{)}_{ij}$ in the minimal supersymmetric standard model (MSSM). We found that the information from the measured branching ratio of $B \to X_s l^+ l^-$ decay can help us to improve the upper bounds on the mass insertions parameters \left (\delta^{u,d}_{AB})_{3j,i3}. Some regions allowed by the data of $Br(B\to X_s\gamma )$ are excluded by the requirement of a SM-like $C_{7\gamma }(m_b)$ imposed by the data of $Br(B\to X_s{l}^{+}{l}^{-})$.