The decay of Λb→p K−Λ_b\rightarrow p~K^- in QCD factorization approach

preprint2016arXivOpen access

Abstract

With only the tree level operator, the decay of Λb→pKΛ_b\rightarrow pK is predicted to be one order smaller than the experimental data. The QCD penguin effects should be taken into account. In this paper, we explore the one-loop QCD corrections to the decay of Λb→pKΛ_b\to pK within the framework of QCD factorization approach. For the baryon system, the diquark approximation is adopted. The transition hadronic matrix elements between ΛbΛ_b and pp are calculated in the light front quark model. The branching ratio of Λb→pKΛ_b\rightarrow pK is predicted to be about 4.85×10−64.85\times 10^{-6} which is consistent with experimental data (4.9±0.9)×10−6(4.9\pm 0.9)\times 10^{-6}. The CP violation is about 5\% in theory.

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