Analysis of B ---> phi K decays in QCD factorization

Dec, 2000
12 pages
Published in:
  • Phys.Rev.D 64 (2001) 074004
e-Print:

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Abstract:
We analyze the decay BϕKB\to \phi K within the framework of QCD-improved factorization. We found that although the twist-3 kaon distribution amplitude dominates the spectator interactions, it will suppress the decay rates slightly. The weak annihilation diagrams induced by (SP)(S+P)(S-P)(S+P) penguin operators, which are formally power-suppressed by order (Λ/mb)2(\Lambda/m_b)^2, are chirally and logarithmically enhanced. Therefore, these annihilation contributions are not subject to helicity suppression and can be sizable. The predicted branching ratio of BϕKB^-\to\phi K^- is (3.8±0.6)×106(3.8\pm0.6)\times 10^{-6} in the absence of annihilation contributions and it becomes (4.31.4+3.0)×106(4.3^{+3.0}_{-1.4})\times 10^{-6} when annihilation effects are taken into account. The prediction is consistent with CLEO and BaBar data but smaller than the BELLE result.
  • B: hadronic decay
  • Phi(1020)
  • B: branching ratio
  • factorization
  • quantum chromodynamics
  • K: wave function
  • effect: higher-twist
  • Feynman graph
  • effect: penguin
  • amplitude analysis