Perturbative QCD analysis of $B \to φK$ decays and Power counting

Details Perturbative QCD analysis of $B \to φK$ decays and Power counting Perturbative QCD analysis of $B \to φK$ decays and Power counting

2001-07-15

arxiv.org/abs/hep-ph/0107165v2

Phys.Rev. D64 (2001) 112002

Physics

High Energy Physics

High Energy Physics - Phenomenology

41 pages, latex, 2 figues with axodraw.sty, Changed title, made a clean explainaton and corrected some typos

Scientific paper

10.1103/PhysRevD.64.112002

We investigate exclusive nonleptonic $B$ meson decays $B\to\phi K$ in perturbative QCD formalism. It is shown that the end-point (logarithmic and linear) singularities in decay amplitudes do not exist, after $k_T$ and threshold resummations are included. Power counting for emission and annihilation topologies of diagrams, including both factorizable and nonfactorizable ones, is discussed with Sudakov effects taken into account. Our predictions for the branching ratios $B(B\to\phi K)\sim 10 \times 10^{-6}$ are larger than those ($\sim 4 \times 10^{-6}$) from the factorization approach because of dynamical enhancement of penguin contributions. Whether this enhancement is essential for penguin-dominated modes can be justified by experimental data.

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