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29 March 2024
 
  » arxiv » hep-ph/0404149

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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
AbstractIt 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
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