2019 Impact factor 4.389
Particles and Fields
Eur. Phys. J. C 28, 305-312 (2003)
DOI: 10.1140/epjc/s2003-01150-4

Branching ratios of $B \to D_s K$ decays in perturbative QCD approach

C.-D. Lü1, 2 and K. Ukai3

1  CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, P.R. China
2  Theory Division, Institute of High Energy Physics, CAS, P.O. Box 918(4), Beijing 100039, China
3  Physics Department, Nagoya University, Nagoya 464-8602, Japan

(Received: 29 November 2002 / Revised version: 16 January 2003 / Published online: 31 March 2003 )

The rare decays $B^0 \to D_s^- K^+$ and $B^+ \to D_s^+ \overline{K}^0$ can occur only via annihilation type diagrams in the standard model. We calculate these decays in the perturbative QCD approach. We found that the calculated branching ratio of $B^0 \to D_s^- K^+$ agreed with the data which had been observed in the KEK and SLAC B factories. The decay $B^+ \to D_s^+ \overline{K}^0$ has a very small branching ratio at ${\cal O}(10^{-8})$, due to the suppression from the CKM matrix elements |Vub* Vcd|.

© Società Italiana di Fisica, Springer-Verlag 2003