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.

32 pages, 7 figures, revtex4

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Cited by in corpus (11)

• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Study of $B_c^{+}$ decays to the $K^{+}{K}^{-}{\pi }^{+}$ final state and evidence for the decay $B_c^{+}\to {\chi }_{c0}{\pi }^{+}$
• Next-to-leading-logarithm $k_T$ resummation for $B_c\to J/\psi$ decays
• $B_c$ $\to$ $BP$, $BV$ decays with the QCD factorization approach
• Study of $B_c^{\ast }$ $\to$ $\psi (1S,2S)P$, ${\eta }_c(1S,2S)P$ weak decays
• Possibility of searching for $B_c^{\ast }$ $\to$ $B_{u,d,s}V$, $B_{u,d,s}P$ decays
• Charmless $B_c\to VV$ decays in the QCD factorization approach
• The role of leptonic cascades in $B_c\to B_s$ at the LHC
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach
• Study of $C$ parity violating and strangeness changing $J/\psi$ $\to$ $PP$ weak decays