Possibilities for testing the predictions of the standard model in rare semileptonic decays of B mesons with the ATLAS detector

The features of the rare semileptonic B-meson decays B/sub d//sup 0/ to K/sup 0/* mu /sup +/ mu /sup -/ and B/sub d//sup 0/ to rho /sup 0/ mu /sup -/ mu /sup -/ have been considered. It has been shown that the dependence of the lepton charge asymmetry A/sub FB/ on the dilepton effective mass has different forms in the Standard Model and in certain versions of the minimal supersymmetric model. In particular, distinctions of this type have been found in the angular distributions d Gamma /dcos theta * of K mesons produced in the decay B/sub d//sup 0/ to (K/sup 0/* to K pi ) mu /sup +/ mu /sup -/ in the K/sup 0/* rest frame. The numbers of events that can be recorded by the ATLAS detector have been estimated for the above decays. The statistical errors in the measurements of A/sub FB/ and d Gamma /dcos theta * have been assessed. It has been shown that, under certain conditions. The expected numbers of detected events will be sufficient for observing deviations from the predictions of the Standard Model. (15 refs).