QCD sum rules analysis of the rare Bc→Xνanti ν decays

Taking into account the gluon correction contributions to the correlation function, the form factors relevant to the rare Bc→Xνanti ν decays are calculated in the framework of the three-point QCD sum rules, where X stands for axial vector particle, AV(Ds1), and vector particles, V(D *,Ds*). The total decay width as well as the branching ratio of these decays are evaluated using the q2 dependent expressions of the form factors. A comparison of our results with the predictions of the relativistic constituent quark model is presented. (orig.)