Hadronic $B_c$ decays as a test of $B_c$ cross section

This paper focuses on disagreement between theoretical predictions and experimental results of the production properties of $B_c$ meson. Hadronic decays of $B_c$ are used to separate predictions of production cross section and predictions of branching ratio. The branching ratios of $B_c$ decays to $J/\psi +\pi$ and to $J/\psi +3\pi$ are also presented.

Figure 1

The circular points show the different 95% C.L. on the ratio of cross section times branching fraction for $B_c^{+}\to J/\psi {\pi }^{+}$ relative to $B_u^{+}\to J/\psi K^{+}$ as a function of the $B_c^{+}$ lifetime. The dotted curve represents calculation of this ratio based on the assumption that the $B_c^{+}$ is produced $1.5\times {10}^{-3}$ times as often as all other $B$ mesons and that $\Gamma (B_c^{+}\to J/\psi {\pi }^{+})=4.2\times {10}^9{s}^{-1}$.