Non-leptonic two-body decays of the Bc meson in light-front quark model and QCD factorization approach

Abstract

We study exclusive non-leptonic two-body $B_c\to (D_{(s)},{\eta }_c,B_{(s)})+F$ decays with $F$(pseudoscalar or vector meson) being factored out in QCD factorization approach. The non-leptonic decay amplitudes are related to the product of meson decay constants and the form factors for semileptonic $B_c$ decays. As inputs in obtaining the branching ratios for a large set of non-leptonic $B_c$ decays, we use the weak form factors for the semileptonic $B_c\to (D_{(s)},{\eta }_c,B_{(s)})$ decays in the whole kinematical region and the unmeasured meson decay constants obtained from our previous light-front quark model. We compare our results of the branching ratios with those of other theoretical studies.

Comments: 11 pages, 3 figures, minor corrections, version to appear in PRD