The double charm decays of $B_c$ Meson in the Perturbative QCD Approach

Abstract

We make a systematic investigation on the double charm decays of $B_c$ meson, by employing the perturbative QCD approach based on $k_T$ factorization. It is found that the non-factorizable emission diagrams are not negligible in these channels. We predict the branching ratios of these $B_c$ decays and also the transverse polarization fractions of $B_c\to D_{(s)}^{\ast +}{\bar{D}}^{\ast 0},D_{(s)}^{\ast +}{D}^{\ast 0}$ decays, % where V denote the vector $D_{(s)}^{\ast }$ meson. We find that the magnitudes of the branching ratios of the decays $B_c\to D_s{\bar{D}}^0$ and $B_c\to D_s{D}^0$ are very close to each other, which are well suited to extract the Cabibbo-Kobayashi-Maskawa angle $\gamma$ through the amplitude relations. In addition, a large transverse polarization contribution that can reach $50$ is predicted in some of the $B_c$ meson decay to two vector charmed mesons.

22 pages, 5 tables, to appear at PRD. arXiv admin note: text overlap with arXiv:1112.1257

References in corpus (7)

• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• The $B(B_s)\to D_{(s)}P$, $D_{(s)}V$, $D_{(s)}^{\ast }P$ and $D_{(s)}^{\ast }V$ decays in the perturbative QCD approach
• Bc Meson Formfactors and Bc-->PV Decays Involving Flavor Dependence of Transverse Quark Momentum
• The pure annihilation type B_c to M_2 M_3 decays in the perturbative QCD approach
• Decays of $B$ meson to two charmed mesons
• The CKM suppressed $B(B_s)\to {\bar{D}}_{(s)}P,{\bar{D}}_{(s)}V,{\bar{D}}_{(s)}^{\ast }P,{\bar{D}}_{(s)}^{\ast }V$ decays in perturbative QCD approach

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