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-d(0) --> K-0*mu(+)mu (-) and B-d(0) --> rho(0)mu(+)mu(-) have been considered. It has been shown that the dependence of the lepton charge asymmetry A(FB) on the dilepton e ffective mass has different forms in the Standard Model and in certain vers ions of the minimal supersymmetric model. In particular, distinctions of th is type have been found in the angular distributions dT/dcos theta* of K me sons produced in the decay B-d(0) --> (K-0* --> K mu)mu(+)mu(-) in the K-0* rest frame. The numbers of events that can be recorded by the ATLAS detect or have been estimated for the above decays. The statistical errors in the measurements of AFB and d Gamma/dcos theta* have been assessed. It has been shown that, under certain conditions, the expected numbers of detected eve nts will be sufficient for observing deviations from the predictions of the Standard Model.