The decay of ${\Lambda }_b\to p{K}^{-}$ in QCD factorization approach

Abstract

With only the tree level operator, the decay of ${\Lambda }_b\to pK$ 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 ${\Lambda }_b\to pK$ within the framework of QCD factorization approach. For the baryon system, the diquark approximation is adopted. The transition hadronic matrix elements between ${\Lambda }_b$ and $p$ are calculated in the light front quark model. The branching ratio of ${\Lambda }_b\to pK$ is predicted to be about $4.85\times 10^{-6}$ which is consistent with experimental data $(4.9\pm 0.9)\times 10^{-6}$. The CP violation is about 5\% in theory.

12 pages, 1 figure, published version

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• Non-leptonic beauty baryon decays and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Final-state rescattering mechanism in bottom-baryon decays
• Implications of recent LHCb data on CPV in b-baryon four body decays