Prediction of $B_c\to Dπ$ in the pQCD approach

Details Prediction of $B_c\to Dπ$ in the pQCD approach Prediction of $B_c\to Dπ$ in the pQCD approach

2005-01-11

arxiv.org/abs/hep-ph/0501082v2

Eur.Phys.J.C45:711-720,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

The numerical results have been updated and some errors have been corrected. (10 pages, 16 figures, revtex4)

Scientific paper

10.1140/epjc/s2005-02453-0

We investigate the branching ratios and direct CP asymmetries of $B_c^+\to D^0\pi^+$ and $B_c^+\to D^+\pi^0$ decays in the PQCD approach. All the diagrams with emission topology or annihilation topology are calculated strictly. A branching ratio of $10^{-6}$ and $10^{-7}$ for $B_c^+\to D^0\pi^+$ and $B_c^+\to D^+\pi^0$ decay is predicted, respectively. Because of the different weak phase and strong phase from penguin operator and two kinds of tree operator contributions, we predict a possible large direct CP violation: $A^{\rm dir}_{cp} (B_c^\pm \to D^0 \pi^\pm)\approx -50%$ and $A^{\rm dir}_{cp} (B_c^\pm \to D^\pm \pi^0)\approx 25%$ when $\gamma=55^\circ$, which can be tested in the coming LHC.

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