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$B o Kpi$ Decays with $1/m_b$ Corrections in $QCD$ Factorization | Tao Huang
; Lin Li
; Xue-Qian Li
; Zuo-Hong Li
; Xiang-Yao Wu
; | Date: |
19 Apr 2004 | Journal: | Phys.Rev. D70 (2004) 094013 | Subject: | hep-ph | Abstract: | It is commonly believed that a careful investigation of the subleading terms is crucial for a better understanding of the $QCD$ factorization in charmless B decays. In this work the penguin-dominated $B o Kpi$ decays are discussed systematically, including the subleading corrections in $1/m_b$ due to soft and hard gluons, besides the annihilation contributions. Soft-gluon effects for all the relevant 4-quark effective operators are calculated within the framework of the light-cone QCD sum rules (LCSR). Our observation is that such soft and hard corrections are less important than the annihilation effects, enhancing only the branching ratios by a few percent; the resultant increase in the branching ratios due to the overall ${cal O}(1/m_b)$ effects is between about $(22-27)%$ of the QCD factorization results with the ${cal O}(alpha_s)$ corrections, as the weak phase $gamma (= extmd{Im}V_{ub}^*)$ ranges from $40^0$ to $80^0$. Impacts of the involved uncertainties are discussed in some details. | Source: | arXiv, hep-ph/0404149 | Services: | Forum | Review | PDF | Favorites |
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