Forward-backward asymmetry, branching ratio and rate difference between electron and muon channels of B → K1(K*)l+l- transition in supersymmetric models

The mass eigen states K-1(1270) and K-1(1400) are mixture of the strange members of two axial-vector SU(3) octet, P-3(1)(K-1(A)) and P-1(1)(K-1(B)). Taking into account this mixture, the forward-backward asymmetry(A(FB)), branching ratio(Br) and rate difference of electron channel to muon channel(R) of B --> K-1(1270, 1400)l(+)l(-) transitions are studied in the framework of different supersymmetric models. MSSM with R parity is considered because considerable deviation from the standard model predictions can be obtained in B -- >X(s)l(-)l(+). Taking C-Q1 and C-Q2 about one which is consistent with the B --> K*mu(+)mu(-) rate at low dileptonic invariant mass region(1 <= q(2) <= 6GeV(2)), we obtain a size able deviation for A(FB), Br and R with respect to the Standard Model results. Any measurement of physical observables and their comparison with the results obtained in this paper can gives useful information about the nature of interactions beyond the standard model.