Phenomenological study of the $B_c$ $\to$ $BP$, $BV$ decays with perturbative QCD approach

Abstract

Inspired by the recent LHCb measurements and forthcoming great potential on $B_c$ meson, we study the exclusive $B_c$ $\to$ $B_{q}P$, $B_{q}V$ decays with the perturbative QCD approach, where $q$ $=$ $u$, $d$, $s$; $P$ and $V$ denote the lightest pseudoscalar and vector $SU(3)$ nonet meson, respectively. By retaining the quark transverse momentum, employing the Sudakov factors, and choosing the typical scale as the maximum virtualities of the internal particles, we calculate the $B_c$ $\to$ $B$ transition from factors, and our results show that about 90\% contribution to form factors come from the ${\alpha }_s/\pi$ $<$ $0.3$ region. The contributions of penguin and annihilation to branching ratios are very small due to the serious suppression by the CKM factors. There is some hierarchy relations among the $B_c$ $\to$ $BP$, $BV$ decays. The branching ratios for $B_c$ $\to$ $B_{d,s}\pi$, $B_{d,s}\rho$, $B_{s}K$ are large and could be measured by the running LHCb.

arXiv comment32 pages, 7 figures, revtex4

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• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach
• Flavor Dependent Effects on Rare Weak Decays of $B_c^{\ast }$ and $B_s^{\ast }$ Mesons
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