QCD sum rules analysis of the rare $B_c \rar Xν\barν$ decays

Abstract

Taking into account the gluon correction contributions to the correlation function, the form factors relevant to the rare $B_c \rar X ν\barν$ decays are calculated in the framework of the three point QCD sum rules, where $X$ stands for axial vector particle, $AV(D_{s1})$, and vector particles, $V(D^{\ast },D_s^{\ast })$. The total decay width as well as the branching ratio of these decays are evaluated using the $q^2$ dependent expressions of the form factors. A comparison of our results with the predictions of the relativistic constituent quark model is presented.

21 Pages, 2 Figures and 5 Tables