$B\to \varphi K$ and $B\to \varphi X_s$ in the Heavy Quark Limit

Abstract

We study $B\to \varphi K$ and $B\to \varphi X_s$ decays in the heavy quark limit using perturbative QCD. The next leading order corrections introduce substantial modifications to the naive factorization results (more than 50%). The branching ratio $Br(B\to \varphi K)$ is predicted to be in the range $(F_1^{B\to K}(m_{\varphi }^2)/0.33{)}^2(3.5\sim 4.2)\times 10^{-6}$ which is within the one $\sigma$ allowed region from the central value of $6.2\times 10^{-6}$ measured by CLEO, but outside the one $\sigma$ allowed region from the central value of $17.2\times 10^{-6}$ measured by BELLE for reasonable $F_1^{B\to K}$. For the semi-inclusive decay $B\to \varphi X_s$ we also include initial bound state effect in the heavy quark limit which decreases the branching ratio by about 10%. $Br(B\to \varphi X_s)$ is predicted to be in the range $(5.1\sim 6.3)\times 10^{-5}$.

11 pages, revtex

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Cited by in corpus (30)

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• Perturbative QCD analysis of $B\to \varphi K^{\ast }$ decays
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• On supersymmetric contributions to the CP asymmetry of the B -> phi K_S
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Phenomenological Analysis of B->PP Decays with QCD Factorization
• Analysis of B-> ϕK Decays in QCD Factorization
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• Model independent sum rules for B-> pi K decays
• CP violation in $B\to \Phi K_S$ in a model III 2HDM
• CP violating SUSY effects in Penguin dominated modes B -> PHI K and B -> PHI K*
• Flavor and CP violating Z exchange and the rate asymmetry in B --> phi K_S
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• Probing electroweak physics using B -> XM decays in the endpoint region
• CP asymmetry in B \to phi K_S in a SUSY SO(10) GUT
• Semi-inclusive B Decays and Direct CP Violation in QCD Factorization
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• Semi-inclusive hadronic B decays in the endpoint region
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• PQCD approach to exclusive B decays
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