Investigation of the $B_c\to {\chi }_{c2}l\bar{\nu }$ transition via QCD sum rules

Abstract

We calculate the transition form factors of the semileptonic $B_c\to {\chi }_{c2}l\bar{\nu }$ in the framework of QCD sum rules taking into account the two-gluon condensate corrections. Using the obtained results of form factors we estimate the decay widths and branching ratios related to this transition at all lepton channels. A comparison of the obtained results with the predictions of other non-perturbative approaches are also made. The orders of branching ratios for different lepton channels indicate that the $B_c\to {\chi }_{c2}l\bar{\nu }$ transition can be studied at LHC using the collected or future data.

Comments: 16 Pages, 4 Figures and 3 Tables